Assertion (A): The work done by the electrost | vedclass

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

Question

(A) The work done $W$ by a force $\vec{F}$ over a displacement $d\vec{r}$ is given by the dot product: $W = \int \vec{F} \cdot d\vec{r}$. When a point

Vedclass · Accepted Answer

Both Assertion and Reason are true and Reason is the correct explanation of Assertion.

Vedclass · Answer

(A) The work done $W$ by a force $\vec{F}$ over a displacement $d\vec{r}$ is given by the dot product: $W = \int \vec{F} \cdot d\vec{r}$. When a point charge moves in a circular path around another charge,the electrostatic force is always directed radially (towards or away from the center),while the displacement vector is always tangential to the circular path. Since the angle between the radial force and the tangential displacement is $90^{\circ}$,the dot product $\vec{F} \cdot d\vec{r} = F dr \cos 90^{\circ} = 0$. Thus,the work done is zero. Both the assertion and the reason are true,and the reason correctly explains why the work done is zero.

Assertion $(A)$: The work done by the electrostatic force is zero when a point charge moves in a circular path around another charge.
Reason $(R)$: The dot product of force and displacement vectors gives work done.

Similar Questions

$A$ hollow metal sphere of radius $10 \ cm$ is charged such that the potential on its surface becomes $80 \ V$. The potential at the centre of the sphere is . . . . . . . (in $V$)

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.

What is the order of electric potential generated by a Van de Graaff generator?

Which is the important quantity used to describe any force field?

Calculate the electrostatic potential energy of a system of two charges $7\ \mu C$ and $-2\ \mu C$ placed at points $(-9\ cm, 0, 0)$ and $(9\ cm, 0, 0)$ respectively (in the absence of an external field).

Vedclass Test Series

Exam Paper Generator

Online Exam Module

Assertion $(A)$: The work done by the electrostatic force is zero when a point charge moves in a circular path around another charge. Reason $(R)$: The dot product of force and displacement vectors gives work done.