Two hollow conducting spheres of radii R_{1} and R_{2} left(R_{1}>>R_{2}right) have equal char

English

Gujarati

Hindi

2. Electric Potential and Capacitance

easy

Two hollow conducting spheres of radii $R_{1}$ and $R_{2}$ $\left(R_{1}>>R_{2}\right)$ have equal charges. The potential would be:

A

more on smaller sphere

B

equal on both the spheres

C

dependent on the material property of the sphere

D

more on bigger sphere

(NEET-2022)

Solution

$V =\frac{1}{4 \pi \epsilon_{0}} \cdot \frac{ Q }{ R }$

$\frac{1}{4 \pi \epsilon_{0}}=\text { constant }$

$Q =\text { same (Given) }$

$\therefore V \propto \frac{1}{ R }$

$\therefore$ Potential is more on smaller sphere.

Standard 12

Physics

Share

Similar Questions

Write an expression for potential at the point outside a uniformly charged spherical shell outside on the surface and inside the shell.

medium

The variation of electrostatic potential with radial distance $r$ from the centre of a positively charged metallic thin shell of radius $R$ is given by the graph

medium

(AIIMS-2013)

The electric potential $V(x, y, z)$ for a planar charge distribution is given by:

$V\left( {x,y,z} \right) = \left\{ {\begin{array}{*{20}{c}}
{0\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,for\,x\, < \, – d}\\
{ – {V_0}{{\left( {1 + \frac{x}{d}} \right)}^2}\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,for\, – \,d\, \le x < 0}\\
{ – {V_0}\left( {1 + 2\frac{x}{d}} \right)\,\,\,\,\,\,\,\,\,\,\,for\,0\, \le x < d}\\
{ – 3{V_0}\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,for\,x\, > \,d}
\end{array}} \right.$

where $-V_0$ is the potential at the origin and $d$ is a distance. Graph of electric field as a function of position is given as

hard

An infinite nonconducting sheet of charge has a surface charge density of $10^{-7}\ C/m^2$. The separation between two equipotential surfaces near the sheet whose potential differ by $ 5\,V$ is

medium

Consider the points lying on a straight line joining two fixed opposite charges. Between the charges there is

easy