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2. Electric Potential and Capacitance
medium

$8\ cm$ બાજુવાળા ચોરસના શિરોબિંદુ પર વિદ્યુતભાર $\frac{{10}}{3} \times {10^{ - 9}}$ $C$ મૂકતાં કેન્દ્ર પર વોલ્ટેજ કેટલો થાય?

A

$900\ V$

B

$900\sqrt 2 \,V$

C

$150\sqrt 2 \,V$

D

$1500\sqrt 2 \,V$

Solution

$V = 4 \times \frac{1}{{4\pi {\varepsilon _0}}}.\frac{Q}{{a/\sqrt 2 }}$

$Q = \frac{{10}}{3} \times {10^{ – 9}}\ C$

$==>$ $a = 8\,cm\, = \,\,8 \times {10^{ – 2}}\ m$

$V = 5 \times 9 \times {10^9} \times \frac{{\frac{{10}}{3} \times {{10}^{ – 9}}}}{{\frac{{8 \times {{10}^{ – 2}}}}{{\sqrt 2 }}}}$$ = 1500\sqrt 2 \,volt$

Standard 12
Physics

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