Q વિદ્યુતભાર ઘરાવતા ગોળાને સમકેન્દ્રિત રહે તે | vedclass

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Question

${V_{{\rm{sphere}}}} = \frac{1}{{4\pi {\varepsilon _0}}}.\frac{Q}{a}$

${V_{{\rm{shell}}}} = \frac{1}{{4\pi {\varepsilon _0}}}.\frac{Q}{b}$

$V =

Vedclass · Accepted Answer

$1$

Vedclass · Answer

${V_{{\rm{sphere}}}} = \frac{1}{{4\pi {\varepsilon _0}}}.\frac{Q}{a}$

${V_{{\rm{shell}}}} = \frac{1}{{4\pi {\varepsilon _0}}}.\frac{Q}{b}$

$V = {V_{{\rm{sphere}}}} - {V_{{\rm{shell}}}}$ $ = \frac{Q}{{4\pi {\varepsilon _0}}}\left[ {\frac{1}{a} - \frac{1}{b}} \right]$ &hellip;. $(i)$

${V_0} = \frac{1}{{4\pi {\varepsilon _0}}}\left[ { - \frac{{3Q}}{b}} \right]$

${V_{{\rm{sphere}}}} = \frac{1}{{4\pi {\varepsilon _0}}}\left[ {\frac{Q}{a} - \frac{{3Q}}{b}} \right]$ ${V_{{\rm{shell}}}} = \frac{1}{{4\pi {\varepsilon _0}}}\left[ {\frac{Q}{b} - \frac{{3Q}}{b}} \right]$

${V_{{\rm{sphere}}}} - {V_{{\rm{shell}}}} = \frac{Q}{{4\pi {\varepsilon _0}}}\left[ {\frac{1}{a} - \frac{1}{b}} \right] = V$

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