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2. Electric Potential and Capacitance
medium

ઊગમબિંદુ આગળ આપેલ વિદ્યુતભારના વિતરણ માટે સ્થિતિમાન શોધો.

A

$kq\, (ℓn2)$

B

$k \,(ℓn2)$

C

$kq\, (ℓ^2n2)$

D

$kq\, (ℓ^2n^2)$

Solution

${V_0}\,\, = \,\,kq\,\left[ {1\,\, – \,\,\frac{1}{2}\,\, + \,\,\frac{1}{3}\,\, – \,\,\frac{1}{4}\,\, + \,\,……..} \right]\,\, = \,\,kq\,(\ell n2)$

${\because \,\,\ell n\,(1\,\, + \,\,x)\,\, = \,\,x\,\, – \,\,\frac{{{x^2}}}{2}\,\, + \,\,\frac{{{x^3}}}{3}\,\, + \,\,…….,\,\,x\,\, = \,\,1}$ મુક્તા આપણને ઉપરની શ્રેણી મળશે .

Standard 12
Physics

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