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Karnataka Board PUCPUC Science Class 11

Find the Dimensional Formula of ε0. - Physics

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Question

Find the dimensional formula of ε0.

Short/Brief Note
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Solution

By Coulomb's Law,  \[F = \frac{1}{4\pi \epsilon_0}\frac{q_1 q_2}{r^2}\]

\[\Rightarrow  \epsilon_0  = \frac{1}{4\pi F}\frac{q_1 q_2}{r^2}\]
Using [F] = [MLT−2]
[r] = [M0L1T0]
[q] = [M0L0T1A1], we get
0] = [M−1L−3T4A2]
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Chapter 7: Electric Field and Potential - Exercises [Page 121]

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HC Verma Concepts of Physics Vol. 2 [English] Class 11 and 12
Chapter 7 Electric Field and Potential
Exercises | Q 1 | Page 121

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