The radius of a charged metal sphere (R) is 1 | vedclass

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(D) Given: Radius $(R) = 10 \, cm$,Potential $(V) = 300 \, V$.In $CGS$ units,$1 \, statvolt = 300 \, V$. Therefore,the potential $V = 1 \, statvolt$.T

Vedclass · Accepted Answer

$8 	imes 10^{-3} \, CGS \, esu$

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(D) Given: Radius $(R) = 10 \, cm$,Potential $(V) = 300 \, V$.In $CGS$ units,$1 \, statvolt = 300 \, V$. Therefore,the potential $V = 1 \, statvolt$.The potential of a charged sphere is given by $V = \frac{Q}{R}$.Substituting the values: $1 = \frac{Q}{10}$,which gives $Q = 10 \, statcoulomb$.The surface charge density $(\sigma)$ is given by $\sigma = \frac{Q}{4 \pi R^2}$.Substituting the values: $\sigma = \frac{10}{4 \pi (10)^2} = \frac{10}{400 \pi} = \frac{1}{40 \pi} \approx 0.00796 \approx 8 	imes 10^{-3} \, CGS \, esu/cm^2$.

The radius of a charged metal sphere $(R)$ is $10 \, cm$ and its potential is $300 \, V$. Find the charge density on the surface of the sphere.

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