A solid sphere of radius R is charged uniform | vedclass

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

Question

(C) The electrostatic potential at the center of a uniformly charged solid sphere of radius $R$ is given by $V_c = \frac{3}{2} \frac{kQ}{R}$.For a poi

Vedclass · Accepted Answer

$R/3$

Vedclass · Answer

(C) The electrostatic potential at the center of a uniformly charged solid sphere of radius $R$ is given by $V_c = \frac{3}{2} \frac{kQ}{R}$.For a point outside the sphere at a distance $x$ from the center (where $x > R$),the potential is $V(x) = \frac{kQ}{x}$.According to the problem,the potential at distance $x$ is half of the potential at the center:$V(x) = \frac{1}{2} V_c$$\frac{kQ}{x} = \frac{1}{2} \left( \frac{3}{2} \frac{kQ}{R} \right)$$\frac{1}{x} = \frac{3}{4R}$$x = \frac{4R}{3}$.The distance from the surface of the sphere is $d = x - R = \frac{4R}{3} - R = \frac{R}{3}$.

$A$ solid sphere of radius $R$ is charged uniformly. At what distance from its surface is the electrostatic potential half of the potential at the centre?

Similar Questions

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

An electric point charge $10^{-3} \mu C$ is placed at the origin $(0, 0)$ of an $X-Y$ coordinate system. Two points $A$ and $B$ are situated at $(\sqrt{2}, \sqrt{2})$ and $(2, 0)$ respectively. The potential difference between the points $A$ and $B$ will be.....$volt$.

Two spherical conductors of radii $4 \ cm$ and $5 \ cm$ are charged to the same potential. If $\sigma_1$ and $\sigma_2$ are the respective values of the surface charge density on the two conductors,then the ratio $\sigma_1 : \sigma_2$ is

Identify the incorrect statement.

$A$ neutral spherical copper particle has a radius of $10 \,nm$ $(1 \,nm = 10^{-9} \,m)$. It gets charged by applying the voltage,slowly adding one electron at a time. Then,the graph of the total charge on the particle versus the applied voltage would look like:

Vedclass Test Series

Exam Paper Generator

Online Exam Module