The conductor's resistance is the opposition offered by a conductor during the flow of change. . Dimension formula of resistance is: length mass time-3 electric-current-2 (M1 L2 T-3 I-2), Resistance (R) = Voltage Current-1 . Thermal capacity, Boltzman constant, entropy. The dimensional formula of current (i) is [A]. Its dimensional formula is ML3T-3I-2. So, if you have a strong grasp of this concept, you can score really well in your IIT JEE exam. Unacademy is Indias largest online learning platform. If you have a good understanding of the dimensional formula of resistance and its applications, you will be able to solve the practical questions in your IIT JEE exam with ease. When the potential difference is applied across the conductor, free electrons get accelerated and collide with positive ions and their motion is thus opposed. exam question paper. In terms of base quantities, electrical resistance can be represented as: \(\frac{kg \ m^2}{A^2 s^3}\). The combination of opposing and encouraging forces makes the current flow in a circuit. Calculate the wavelength of the electromagnetic radiation emitted when an electron makes a transition from the third lowest energy level, E3, to the lowest energy level, E, in such a well. Units and Dimensions Exercise - 283. Hence, it is the measure of the easiness of the electric current passing through the conductor. Learn about the basics, applications, working, and basics of the Zener diode. Ans : The obstacle to current or electron flow is known as resistance. . Practice the questions based on Dimension of Resistance regularly to improve your understanding of the topic. Dimensional Formula of Current Current = (Electric Charge)/(Time) I = Q / T Where, Q has the unit coulomb, T has the unit of second and I has the unit of ampere. The formula of the partial pressure of oxygen . Resistance in a cylindrical wire is given as,\(R=\frac{\rho l}{A}\). I-1)..(2). The materials with free electrons do not flow because of random equal directional movement of the electrons; only a directional drift can cause current to flow in any material. A man can swim at a speed of $5{\text{km/h}}$ w.r.t water. It has uses in voltage regulators to maintain a constant voltage. When you are studying the Dimension of Resistance make sure you note down all the essential information in your words and simplify the explanations. Similarly, \(E = \frac{F}{q}\)where,\(F\) is force and,\(q\) is charge. Yes, it is necessary to learn the Dimension of Resistance because for a number of reasons. 3. dimensional failure mechanism constructed by Michalowski and Drescher (2009), some researchers (Nadukuru and . Resistance is termed as the hindrance to the flow of electrons or the opposed movement of electrons that occurred due to potential differences across the conductor. This opposition offered by ions is called the resistance of the conductor. The dimensional formula representation of the resistance is expressed as: The relation between the potential difference and resistance results in the flow of electrons, the resultant flow of current is the drift of electrons from high concentration to low concentration due to existential potential difference and the resistivity. 5. Thrust, force, weight, tension, energy gradient. The electrical resistance between the two faces P and Q of the composite bar is. [L] = [M1L2T3I1], So, the dimensional formula of resistance [M1L2T3I1] / [I1] = [M1L2T-3I-2]. Derive the dimensional formula for Voltage \(V\). Is one of the most important concepts of Physics. To convert a physical quantity from one system of the unit to the other: It is based on a fact that the magnitude of a physical quantity remains the same whatever system is used for measurement i.e magnitude = numeric value(n) multiplied by unit (u) = constant. The resistance of a conductor is proportional to its temperature. Dimensional formula for Resistance, capacitance, Electric potential, Resistivity, Coefficient of Self induction Moreover, Vedantu provides you with the best study materials to learn other concepts covered in the IIT JEE exam question paper. \([\rho ]=\frac{ [M][L]^{2}[T]^{-3}[I]^{-2} [L]^2}{[L]}\). Besides Vedantu, below are some other tips that will aid you in learning this topic. Its SI unit is ohm and represented by . . T-3. Once you have completed the Dimension of Resistance, you should use the textbook exercises to test your knowledge and check if you have understood the concept properly or not. The dimensions of electrical resistance are: \([M][L]^{2}[T]^{-3}[I]^{-2}\), where,\(M \rightarrow\) Mass\(L \rightarrow\) Length\(T \rightarrow\) Time\(I\rightarrow\) Electrical Current. The equation obtained by equating a physical quantity with its dimensional formula is called a dimensional equation. VijayaBhaskaraReddy VijayaBhaskaraReddy 21.11.2017 Physics Secondary School answered expert verified Resistance dimensional formula 2 See answers Advertisement To derive a relationship between different physical quantities: Using the principle of homogeneity of dimension, the new relation among physical quantities can be derived if the dependent quantities are known. The dimensional formula of resistance can be expressed as: M1 L2 T-3 I-2 Here, M = Mass I = Current L = Length T = Time Resistance (R) = Voltage Current-1 [1] Now, because, Voltage (V) = Electric Field Distance = [Force Charge -1] Distance Accordingly, dimensional formula of charge = current time = I 1 T 1 You can learn how this formula is applied in different areas and what are its advantages and limitations. A material with a low resistance that allows free flow of current is termed conductor, whereas a material with a high resistance that resists the flow of current is termed insulators. As a result of the EUs General Data Protection Regulation (GDPR). Let V be the potential difference, and I be the current in the following circuit. Here are some reasons why you should not skip this topic before the exam: The Dimension of Resistance Is among the most important topics covered in the IIT JEE syllabus. compared with the results calculated from empirical formula. You can start learning the concept of Dimension of Resistance directly from Vedantus online learning platform that provides you with detailed explanations in simple language to make the concept easy to understand. Therefore, we have, dimensions of resistance \(R\), represented as \([R]\) is, \([R] = \frac{[M][L][T]^{-2}[L]}{[I]^2 [T]}\). There will be no registration amount, whether you use our website or the mobile application. The dimensional formula for X is the same as that ofa)resistanceb)chargec)voltaged)currentCorrect answer is option 'D'. CNT yarn sensors with diameter 100 m were embedded in three-dimensional braided composites, and fracture tensile stress experiments were carried out. Find important definitions, questions, meanings, examples, exercises and tests below for The dimensional formula of R2C/L, where R is resistance , C is capacitance and L is . Calculate the resistance to be put in the circuit. L2 .T-3. has been provided alongside types of A quatity X is given by 0 L V/t , where 0 is the permittivity of free space, L is a length, V is potential difference and t is the time interval. Find the current through the ammeter. However, the issue of its superconductivity dimensionality has not yet been fully investigated so far. The dimensional formula of any physical quantity is that expression that represents how and which of the base quantities are included in that quantity. Every shape around us has some dimensions. By means of a two-dimensional simplified CFD calculation and model test, Son et al. Hence, the material opposes the current. To obtain a relationship between two different physical quantities. Potential difference is the work done per unit charge. The resistors are the basic components of any circuit which is widely used to limit the amount of flow of current. A wire of resistance $10\,ohm$ is bent in the form of closed circle. Shop by Price . We know from Ohms law: \(V = IR\)where,\(I\) is current and,\(V\) is a potential difference. There are various factors on which the resistance of a material depends: Ans :The drawbacks of the dimensional analysis are: Ans : A component responsible for limiting the flow of current in a circuit is termed a resistor. Dimensions of the physical quantity are the power to which the base quantities are raised to represent that quantity. On placing equation (2) in equation (1) we get, Or, R = (M1. Also we have,\(V = Ed\)where,\(E\) is electric field and,\(d\) is distance. Monitoring over the accuracy of the relationship between two quantities. where,\(\rho \rightarrow\) Resistivity\(l \rightarrow\) Length of conductor parallel to flow of current.\(A \rightarrow\) Cross Sectional area of conductor perpendicular to the flow of electrons. The amount of current is dependent on the potential and the resistance of the substance through which the current is flowing. Hence, the dimensional formula for resistivity is \([M][L]^{3}[T]^{-3}[I]^{-2}\). It depends only on the material of the conductor. The electrical resistivities of Al and Fe are $2.7\times {{10}^{-8}}\Omega m$ and $1.0\times {{10}^{-7}}\Omega m$, respectively. yield resistance. Refer to the notes of Dimension of Resistance while preparing for your exam for a quick revision. The representation of a fundamental unit of a physical quantity is expressed in the form of [MaLbTc], where M is the mass, L is the length, and T stands for time where a,b and c are exponents. The dimensional formula for electrical resistance is: where, Mass Length Time Electrical Current In terms of base quantities, electrical resistance can be represented as: . No accuracy for the physical quantities with more than three fundamental units. Resistance is a measure of the opposition to the flow of electrons and is calculated by dividing voltage upon current in the conductor. The colors represent the density or . Shop by Age 0-3 Months 3-6 Months 6-12 Months 12-24 Months. This study presents a onedimensional, twophase mathematical model of PEMFC to investigate the twophase transport process, gas species transport flow and water crossover fluxes. Sovereign Gold Bond Scheme Everything you need to know! The resistance performance of drillship plays a pivotal role in fuel consumption, with the moonpool arrangement being a significant factor that affects the resistance performance. . and Minto, J. and Sims-Williams, D.B. Zener Diode is an important semiconductor electrical component that is specifically used in reverse biassing. What is the dimensional formula for thermal resistance? The formula containing more than one term which is added or subtracted likes s = ut+ at2 also cannot be derived. Question 2. Suggest Corrections 1 Similar questions - 1 L - 2 T 3 2. With Vedantu, you can get IIT JEE sample papers, previous year question papers, important topics, revision notes, and much more for absolutely free. Resistivity depends upon Temperature: Resistivity usually increases with the increase in temperature for metals. Composition: Different Alloys have different resistivity. Mechanical stress and strain also affect resistivity to some extent. The different materials have different resistance depending on multiple factors. Requested URL: byjus.com/question-answer/what-is-the-dimensional-formula-for-thermal-resistance/, User-Agent: Mozilla/5.0 (iPhone; CPU iPhone OS 14_7_1 like Mac OS X) AppleWebKit/605.1.15 (KHTML, like Gecko) Version/14.1.2 Mobile/15E148 Safari/604.1. The dimensional analysis of the resistance allows obtaining knowledge about the fundamental units of the quantity, which leads the way for easier and smooth calculations and comparisons with any other physical quantities. Go through sample papers and previous year question papers to understand the difficulty level of questions related to Dimension of Resistance. The relation derived from this method gives no information about the dimensionless constants. The dimensional formula for electrical resistance is: \([M][L]^{2}[T]^{-3}[I]^{-2}\)where,\(M \rightarrow\) Mass\(L \rightarrow\) Length\(T \rightarrow\) Time\(I \rightarrow\) Electrical CurrentIn terms of base quantities, electrical resistance can be represented as: \(\frac{kg \ m^2}{A^2 s^3}\).The SI unit of resistance is Ohm(\(\Omega\)). (2008) . The single directional movement of the electrons in any material is termed current. What factors affect resistance? Besides this, you will also be able to apply this formula into equations and solve questions, based on Dimension of Resistance Formula, Equation, Application, Limitation, and Factors, with ease. Before using the resistors, the characteristics of the resistor should be well acknowledged so that it can be used specifically as per need and a particular type of circuit. Objective . It is possible to convert units between different measurement systems. Green curve in Fig. Continue Reading Simran Sandhu Area of a cross-section of the conductor. Dimensional analysis is the process of finding the relationship between two physical quantities, where the quantities are the group of fundamental units, independent of numerical values and constant. The site owner may have set restrictions that prevent you from accessing the site. Is it necessary to learn the Dimension of Resistance? A relation is observed between the potential difference applied across the conductor and the current passing through it. The resistance of the stretched wire would be, An electrical device draws 2kW power from ac mains voltage 223 V(rms). (2011) 'Aerodynamic investigation on the e ect of varying through-hub ow on a Formula One front wheel assembly.', SAE International journal of passenger cars. Widely-adopted quasi-analytical formulas derived in Molin (2001) . . treat with a process on surface to keep glitter surface, have a collision resistance, keep the . The SI unit of resistance is Ohm (\(\Omega\)). The dimensions of resistance can be given as \([M L^{2} T^{-3} I^{-2}]\). Vedantu is the best online educational platform to learn the concept of Dimension of Resistance. The amount of resistance provided in a circuit is based on the capability of the resistors. . The idea of similar units makes the comparison and calculations smooth. Factor label technique, unit factor method, or dimensional analysis are used to describe this approach. The cell ohmic resistance correspondingly increases with the increase of catalyst layer . Some of the limitations of the dimension formula are given below: This method can be used only if dependency is of multiplication type. Find the time taken by him to cross the river. It is determined by the conductors material, although it is unaffected by the conductors geometry. A groundwater model may be a scale model or an electric model of a groundwater situation or aquifer. =ohm-metre. The SI unit of resistance is Ohm ( ). In this topic, you will learn about resistance, dimensions of resistance formula, applications of that formula, and much more. Calculate the dimensional formula of work done and charge. Therefore, the dimensional formula of resistance is [ M L 2 T 3 A 2]. 4. A [M 1 L 2 T 1 K] B [ML 2 T 2K 1] C [ ML 3 T 2 K 1] D [ M 1 L 2 T 3 K] Medium Solution Verified by Toppr Correct option is D) We know, Thermal Resistance= Thermal currentTemperature difference= rate of flow of heatT = tQT = [ML 2T 3][K] =[M 1L 2T 3K] . Therefore, Ampere = Coulomb / Second Current is defined as the rate of flow of charge for every unit of time. Original Formula: R= (l/A), where is a proportionality constant. 2. The potential difference is the reason that causes current to flow, measured in volts. Hence, the correct option is D. Note: Do not confuse between resistance and resistivity of a conductor. In this topic, you will learn about resistance, dimensions of resistance formula, applications of that formula, and much more. . We have,Force \(F\) has the units \(\frac{kg m}{s^2}\) and has the dimensions \([M][L][T]^{-2}\).\(d\) has the dimension \([L]\).\(t\) has the dimension \([T]\). Studying the concept of Dimension of Resistance can be a little time-consuming. Free electrons are accelerated and collide with positive ions whenever a potential difference is applied across a conductor, opposing their motion. By dimension definition, it is a measure of a point or line extended in one direction. Dimension formula of resistance is: length mass time-3 electric-current-2 (M1 L2 T-3 I-2) Where, M = Mass I = Current L = Length T = Time Derivation of Resistance Dimension Resistance (R) = Voltage Current-1 . The SI unit of electrical resistance is ohm. To check dimensional correctness of a given physical relation: If in a given relation, the terms of both sides have the same dimensions, then the equation is dimensionally correct. The resistance R in a polar system under a magnetic field B is . With Vedantus e-learning platform, you can learn this concept in no time and be more efficient. So, if you have a strong grasp of this concept, you can score really well in your IIT JEE exam. =R.AL= Ohm.metre 2 .meter. Get all the important information related to the CBSE Class 12 Examination including the process of application, important calendar dates, eligibility criteria, exam centers etc. There are various factors on which the resistance of a material depends: The cross-sectional area of the conductor. Some groundwater models include (chemical) quality aspects of the groundwater. Resistance dimensional formula Get the answers you need, now! Resistance is a measure of the opposition to the flow of electrons and the SI units of resistance is given as Ohm (\(\Omega\)). Conversion factors are used to express the connection between different systems units, making it possible to move an item from one to another. Groundwater models are used to represent the natural groundwater flow in the environment. Thermal Resistance (R-Value) Thermal resistance is the temperature difference, at steady state, between two defined surfaces of a material or construction that induces a unit heat flow rate through a unit area, Km2/W. Baby Gift Finder Baby Gift Sets Find Baby Formula. T-3 .I-2). The dimensional formula of Ohm is [ML2T-3I-2]. There will be no registration amount, whether you use our website or the mobile application. . Such groundwater models try to predict the fate and movement of the chemical . So, by learning this concept you will be able to secure an excellent score in your exam. From where can I learn the concept of Dimension of Resistance? A formula containing more than one term which is added or subtracted likes \[s= ut + \frac{1}{2}\] at 2 also cannot be derived. L2. . The current differs in phase by $\phi ={{\tan }^{-1}}\left( \dfrac{-3}{4} \right)$ as compared to the voltage. Barron's work extended Terzaghi's one-dimensional vertical ow theory to a radial ow problem. A battery of 20 cells (each having e.m.f. Ans :The opposed movement of electrons occurred due to potential differences across the conductor is resistance. However, none of the first three options match with the answer we found. Resistance of a wire can be expressed as, \(R=\frac{\rho l}{A}\)where,\(\rho \rightarrow\) Resistivity\(l \rightarrow\) Length of conductor parallel to flow of current.\(A \rightarrow\) Cross-Sectional area of conductor perpendicular to the flow of current.Hence, resistance increases with an increase in resistivity (depends upon the material), with an increase in length of conductor l. Resistance decreases with an increase in the cross-sectional area of the conductor. Information about The dimensional formula of R2C/L, where R is resistance , C is capacitance and L is inductance, will be ? Learn all about the Wheatstone bridge, its construction, how to use the Wheatstone bridge, its applications and calculation of the electrical resistance. We are not permitting internet traffic to Byjus website from countries within European Union at this time. To learn the Dimension of Resistance, all you have to do is visit Vedantu.com and search for it. On our platform, you can find notes on this topic in simple language that will help you understand the concept more clearly and easily. It exists in vario Ans : The obstacle to current or electron flow is known as resistance. On our platform, you can find notes on this topic in simple language that will help you understand the concept more clearly and easily. The dimensional formula of current is written as: [M0L0T0I1] Once you go through this topic, you will understand why the dimensional formula of resistance is important and what are its advantages and disadvantages. Non-dimensional load capacity coefficients equal: . To learn the Dimension of Resistance, all you have to do is visit Vedantu.com and search for it. The flow of current is the resultant of the combination of the resistance and potential difference acting across the two ends of the circuit. Learn everything about electromagnetic introduction, including the applications, working and induction diagram of the electromagnetic spectrum. This concept gives you a better understanding of resistance and the dimensional formula of resistance. Derive the dimensional formula for resistivity \(\rho\). Ans : A component responsible for limiting the flow of current in a circuit is termed a resistor. Download our apps to start learning, Call us and we will answer all your questions about learning on Unacademy. Consider a one-dimensional problem of heat conduction for a long, solid, circular cylinder of radius R, 0 r R, with an n-layer coating of thickness = i i=1 n . It is important for any dimensional analysis problem to know some basic relations involving the quantity whose dimensions we need to find, here it is resistance. The dynamic strain . Seismic isolation systems provide an alternative to conventional earthquake resistance design such as strengthening of structural elements (columns or beams), and have the potential for significantly reducing seismic risk without compromising safety . where, R= resistance, A= area of cross-section, l= length *provided the material has Uniform geometrical dimensions. . Question :3 On the basis of dimensional equation, the maximum number of unknown that can be found, is. Barron's solution without well resistance and smear as presented in equation (1) has Dimension in maths is a measure of the length, width, or height extended in a particular direction. Its SI unit is ohm and represented by . (1) Since, voltage (V) = Electric Field Distance = [Force Charge -1] Distance The dimensional formula of force = M 1 L 1 T -2 The dimensional formula representation of the resistance is expressed as: [M1L2T-3I-2] Where M: Mass L: Length T: Time I: Current Derivation of dimensional representation of resistance: They are commonly used to address brain cancer stem cell (CSC) signal transducing biology that regulates spheroids formation and stemness phenotype, and to assess the in vitro pharmacological impact of chemotherapeutic drugs. Its SI unit is ohm and represented by . The drawbacks of the dimensional analysis are: Incapable of determining dimensionless quantities. The application of potential differences across any material leads to the alignment of these charge carriers. . Resistance of a wire can be expressed as, where, Resistivity The opposed movement of electrons occurred due to potential differences across the conductor is resistance. Mathematically, dimension can be represented as: Thermal resistance = Temperature difference Thermal current = T Q t = [ K] [ ML 2 T - 2] [ T] = [ K] [ T] [ ML 2 T - 2] = [ M - 1 L - 2 T 3 K] Therefore, the dimensional formula for thermal resistance will be [ M - 1 L - 2 T 3 K]. PMVVY Pradhan Mantri Vaya Vandana Yojana, EPFO Employees Provident Fund Organisation. Vedantu is the best online educational platform to learn the concept of Dimension of Resistance. List of some quantities and their dimensions: He wants to cross $1.5{\text{km}}$ wide river flowing at $3{\text{km/h}}$. The combination of opposing and encouraging forces makes the current flow in a circuit. The resistance of the conductor refers to the opposition provided by ions. In "Induction Motor Analysis", we showed how to correct the conductivity of the rotor bar including the resistance of the end rings and constrain the surface integral of the total axial current to zero using SUFCUR (surface inflow current source), and in "Handling of Rotor Bars and End Rings in Two-Dimensional Analysis of Squirrel-cage Induction Motors", we showed how to . The dimensional formula for capacitance is M^-1 L^-2 T^4 I^2. Typically, this force is applied in the opposite direction as the object's motion, slowing it down. [R]= [I][V]= [A][ML 2A 1T 3]=[ML 2A 2T 3] Surface acoustic wave (SAW)-matter interaction provides a fascinating key for inducing and manipulating novel phenomena and functionalities in two-dimensional (2D) materials. It will help you understand the depths of this critical device and help solve relevant questions. ISO 3005:1978 Textiles Determination of dimensional change of fabrics induced by free-steam; ISO 3006:2015 Road vehicles Passenger car wheels for road use Test methods; ISO 3007:1999 Petroleum products and crude petroleum Determination of vapour pressure Reid method; ISO 3008 Fire resistance tests Door and shutter assemblies The force and its formula are discussed below. A [M 1L 2T 4A 2] B [ML 2T 5A 3] C [M 1L 2T 4A 2] D None of these Medium Solution Verified by Toppr Correct option is D) By ohm's law, ratio of V and I is constant equal to resistance R. Hence, V=IR, R= IV. Ans :The opposed movement of electrons occurred due to potential differences Ans :The drawbacks of the dimensional analysis are: The Dimension of Resistance Is one of the most important concepts of Physics. Conversion of the fundamental unit of one quantity to another. 1.8V and internal resistance $ 0.1\Omega $ ) is charged by 220 volts and the charging current is 15A. Depending on the majority of the charge carriers, the direction of flow of current is established. Get subscription and access unlimited live and recorded courses from Indias best educators. The resistance offered by a wire of unit length and unit area of cross-section is called resistivity or specific resistance (r). there is a possibility to modify the partial coefficients for the R (pressure and resistance) and M (soil parameters) sets 2.4.7.3.4. . I-1) * (I)-1 = (M1. Therefore, the dimension of force is [M1L1T2], Therefore dimension of E = [M1L1T2] / [I1T1] = [M1L1T3I1], The dimension of V = [M1L1T3I1] . Moreover, Vedantu provides you with the best study materials to learn other concepts covered in the. He keeps himself at an angle of $60^\circ $ with flow direction while swimming. Hint: Use the formula given by Ohms law, i.e. Materials that conduct electrical current easily are called conductors and have a low resistivity. 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The concept of dimension in maths does not have any specific dimensional formula. The dimensional formula of resistance is given by, M1 L2 T-3 I-2 Where, M = Mass I = Current L = Length T = Time Derivation Resistance (R) = Voltage Current -1 . What is effective resistance between two points at the end of any diameter of the circle. No relevance of trigonometry, logarithmic or exponential functions. A material with a low resistance that allows Access free live classes and tests on the app. In what follows, we denote quantities that correspond to the i th layer of the coating, body, and medium by the subscripts i, I, and II. Here are some reasons why you should not skip this topic before the exam: Is among the most important topics covered in the IIT JEE syllabus. Hence the resistance is the property of the conductor by which it opposes the flow of current in it. All membranes were PA-doped membranes in an anhydrous environment and tested at temperatures ranging from 70 to 180 C. The dimensional formula of any physical quantity is that expression that represents how and which of the base quantities are included in that quantity. Get answers to the most common queries related to the CBSE Class 12 Examination Preparation. The intercalated iron selenide (Li,Fe)OHFeSe has a strongly layered structure analogous to the quasi-two-dimensional (2D) bismuth cuprate superconductors, and exhibits both high-temperature ( Tc) and topological superconductivity.
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Only if dependency is of multiplication type acting across the two ends of the topic determined by the conductors,... Widely-Adopted quasi-analytical formulas derived in Molin ( 2001 ) temperature: resistivity increases. Provides you with the increase in temperature for metals resistance depending on multiple factors or, R (! Formula containing more than one term which is widely used to limit amount. For capacitance is M^-1 L^-2 T^4 I^2 be, an electrical device draws dimensional formula of resistance! Or exponential functions the basis of dimensional equation, the issue of its superconductivity dimensionality has not yet been investigated. ( R=\frac { \rho L } { a } \ ) offered by ions is the... Dimension of resistance that is specifically used in reverse biassing material leads to alignment. Some groundwater models are used to describe this approach electrons occurred due to differences! The applications, working, and much more use the formula given by Ohms,... 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