Assertion : Electric potential and electric p | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(C) Electric potential $(V)$ at a point is defined as the work done per unit positive charge in bringing it from infinity to that point,given by $V =

Vedclass · Accepted Answer

If Assertion is correct but Reason is incorrect.

Vedclass · Answer

(C) Electric potential $(V)$ at a point is defined as the work done per unit positive charge in bringing it from infinity to that point,given by $V = W/q$. Electric potential energy $(U)$ is the total work done in assembling a system of charges,given by $U = qV$. Since $U$ and $V$ have different physical dimensions ($[ML^2T^{-3}A^{-1}]$ for $V$ and $[ML^2T^{-2}A^{-1}]$ for $U$),they are distinct physical quantities. The Assertion is correct. The Reason states that $U = V$,which is dimensionally inconsistent and physically incorrect. Therefore,the Assertion is correct but the Reason is incorrect.

Assertion : Electric potential and electric potential energy are different quantities.
Reason : For a system of a positive test charge and a point charge,electric potential energy $=$ electric potential.

Similar Questions

$A$ hollow conducting sphere of radius $R$ has a charge $(+Q)$ on its surface. What is the electric potential within the sphere at a distance $r = \frac{R}{3}$ from its centre?

If the potential of the inner shell of radius $r$ is $10\,V$ and that of the outer shell of radius $2r$ is $5\,V$, then the potential at the centre will be....$V$

Two identical positive charges are placed at $x = -a$ and $x = a$. The correct variation of potential $V$ along the $x$-axis is given by:

Three equal charges are placed at the corners of an equilateral triangle. Which of the graphs below correctly depicts the equally-spaced equipotential surfaces in the plane of the triangle? (All graphs have the same scale.)

Vedclass Test Series

Exam Paper Generator

Online Exam Module

Assertion : Electric potential and electric potential energy are different quantities.Reason : For a system of a positive test charge and a point charge,electric potential energy $=$ electric potential.