1, mu C વિદ્યુતભારોને x- અક્ષ પર x = 1, 2,4, | vedclass

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Question

(b) The schematic diagram of distribution of charges on $x-$axis is shown in figure below :
Total force acting on $1 \,C$ charge is given by
$F = \f

Vedclass · Accepted Answer

$12000$

Vedclass · Answer

(b) The schematic diagram of distribution of charges on $x-$axis is shown in figure below :
Total force acting on $1 \,C$ charge is given by
$F = \frac{1}{{4\pi {\varepsilon _0}}}\left[ {\frac{{1 	imes 1 	imes {{10}^{ - 6}}}}{{{{(1)}^2}}} + \frac{{1 	imes 1 	imes {{10}^{ - 6}}}}{{{{(2)}^2}}}} ight.$
$\left. { + \frac{{1 	imes 1 	imes {{10}^{ - 6}}}}{{{{(4)}^2}}} + \frac{{1 	imes 1 	imes {{10}^{ - 6}}}}{{{{(8)}^2}}} + ....\infty } ight]$
$ = \frac{{{{10}^{ - 6}}}}{{4\pi {\varepsilon _0}}}\left( {\frac{1}{1} + \frac{1}{4} + \frac{1}{{16}} + \frac{1}{{64}} + ...\infty } ight) = \,9 	imes {10^9} 	imes {10^{ - 6}}\left( {\frac{1}{{1 - \frac{1}{4}}}} ight)$
$ = 9 	imes {10^9} 	imes {10^{ - 6}} 	imes \frac{4}{3} = 9 	imes {10^3} 	imes \frac{4}{3}$$= 12000\,N$

$1\, \mu C$ વિદ્યુતભારોને $x-$ અક્ષ પર $x = 1, 2,4, 8, .... \infty$ મૂકવામાં આવે છે. તો ઉગમ બિંદુ પર રહેલ $1\, C$ વિદ્યુતભાર પર કેટલા .....$N$ બળ લાગે?

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