Assertion (A): A spherical equipotential surf | vedclass

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(D) The electric potential $V$ due to a point charge $q$ at a distance $r$ is given by $V = \frac{1}{4\pi\epsilon_0} \frac{q}{r}$.For a constant poten

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If both Assertion and Reason are false.

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(D) The electric potential $V$ due to a point charge $q$ at a distance $r$ is given by $V = \frac{1}{4\pi\epsilon_0} \frac{q}{r}$.For a constant potential $V$,the distance $r$ must be constant. This defines a sphere centered at the point charge. Therefore,a spherical equipotential surface is possible for a point charge. Thus,the Assertion $(A)$ is false.Inside a spherical capacitor,the electric field is radial,and the equipotential surfaces are spherical shells concentric with the capacitor plates. Therefore,the Reason $(R)$ is true.Since the Assertion is false and the Reason is true,the correct option is $(d)$.

Assertion $(A):$ $A$ spherical equipotential surface is not possible for a point charge.
Reason $(R):$ $A$ spherical equipotential surface is possible inside a spherical capacitor.

Similar Questions

In an electric field due to charge $Q$,a charge $q$ moves from point $A$ to $B$ along an arc of a circle centered at $Q$,as shown in the figure. The work done is ($\varepsilon_0=$ permittivity of free space).

Two charges $2 \; \mu C$ and $-2 \; \mu C$ are placed at points $A$ and $B$ which are $6 \; cm$ apart.
$(a)$ Identify an equipotential surface of the system.
$(b)$ What is the direction of the electric field at every point on this surface?

The nature of the equipotential surface for a point charge is:

Write the characteristics of equipotential surface.

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Assertion $(A):$ $A$ spherical equipotential surface is not possible for a point charge.Reason $(R):$ $A$ spherical equipotential surface is possible inside a spherical capacitor.