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Chapter 25: Q. 21 (page 710)

Show that 1V/m=1N/C.

Short Answer

Expert verified

Proved that1V/m=1N/C

Step by step solution

01

Definition of electric potential 

The Electric potential (V) is considered as the electric potential energy for an unit of charge.

Hence, the Sl unit of this parameter is(J/C)

02

Application of Joule’s Formula for energy  

As per consideration It can be written as J/C in place of V;

As V=J/C.

1Vm=1JC脳1m1Vm=1JC.m

As, Joule is the product of force and displacement.

Hence it can be written as,J=N脳m

03

Prove that  1VM=1NC

1VM=1N.mC.m1V/m=1N/C

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