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Learn the dimensional formula of resistance and its derivation from the web page. Find out the dimensions of mass, current, length and time and how they are related to resistance.
Jul 31, 2023 · Learn the dimensional formula of resistance and how to derive it from the formula of voltage and current. Also, find out the dimensions of other related quantities such as temperature, wavelength, and viscosity.
Sep 22, 2024 · Learn the dimensional formula, equation, application, limitation and factors of resistance, a physical quantity that opposes the flow of current. Find out how to derive the formula, what are the units and factors of resistance, and how to study the concept with Vedantu.
- Dimensions of the physical quantity are the power to which the base quantities are raised to represent that quantity. The dimensional formula of an...
- Some of the limitations of the dimension formula are given below:This method can be used only if dependency is of multiplication type. The formula...
- Some of the sets having the same dimension formula that are discussed below:Strain, refractive index, relative density, angle, solid angle, phase,...
- Yes, it is necessary to learn the Dimension of Resistance because for a number of reasons. This concept gives you a better understanding of resista...
- Vedantu is the best online educational platform to learn the concept of Dimension of Resistance. On our platform, you can find notes on this topic...
- The Dimensions of Electrical Resistance
- What Is Resistance?
- Dimensional Analysis For Resistance
- Example Problems
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The dimensions of electrical resistance are: [M][L]2[T]−3[I]−2 where, M→ Mass L→ Length T→ Time I→Electrical Current In terms of base quantities, electrical resistance can be represented as: kgm2A2s3. The SI unit of resistance is Ohm (Ω).
Resistance is a measure of the opposition to the flow of electrons and the SI units of resistance is given as Ohm (Ω). Resistance in a cylindrical wire is given as, R=ρlA where, ρ→ Resistivity l→ Length of conductor parallel to flow of current. A→Cross Sectional area of conductor perpendicular to the flow of electrons.
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. We know from Ohm’s law: V=IR where, I is current and, Vis a potential difference. Also we have, V=Ed where, E is electric field and, dis distance. Similarly, E=Fq where, F is force and, qi...
Question 1. Derive the dimensional formula for resistivity ρ. Solution.We have, R=ρlA ρ=RAl [ρ]=[R][A][l] Also, we have, [A]=[m2]=[L]2 [l]=[m]=[L] [R]=[M][L]2[T]−3[I]−2 Therefore, [ρ]=[M][L]2[T]−3[I]−2[L]2[L] [ρ]=[M][L]3[T]−3[I]−2 Hence, the dimensional formula for resistivity is [M][L]3[T]−3[I]−2. Question 2. Derive the dimensional formula for Vol...
Learn how to derive the dimensional formula for resistance, resistivity and voltage using Ohm's law and basic relations. Find examples, FAQs and related topics on current electricity and physics.
The resistivity is a characteristic of the material used to fabricate a wire or other electrical component, whereas the resistance is a characteristic of the wire or component. To calculate the resistance, consider a section of conducting wire with cross-sectional area A, length L, and resistivity .
Feb 20, 2022 · Resistivity ρ is an intrinsic property of a material, independent of its shape or size. The resistance R of a uniform cylinder of length L, of cross-sectional area A, and made of a material with resistivity ρ, is R = ρL A. The table below gives representative values of ρ.
Nov 2, 2019 · In this article, we will find the dimension of Resistance. The dimensional formula for Resistance is. [M 1L2T −3I −2] [M 1 L 2 T − 3 I − 2] Where. M -> Mass. L -> Length. T -> Time. I -> Current. We would now derive this dimensional formula.
