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Question

Question: A sphere of radius \(1cm\) has potential of \(8000V\), then energy density near its surface will be...

A sphere of radius 1cm1cm has potential of 8000V8000V, then energy density near its surface will be

A

64×105J/m364 \times 10^{5}J/m^{3}

B

8×103J/m38 \times 10^{3}J/m^{3}

C

32J/m332J/m^{3}

D

2.83J/m32.83J/m^{3}

Answer

2.83J/m32.83J/m^{3}

Explanation

Solution

Energy density

ue=12ε0E2=12×8.86×1012×(Vr)2u_{e} = \frac{1}{2}\varepsilon_{0}E^{2} = \frac{1}{2} \times 8.86 \times 10^{- 12} \times \left( \frac{V}{r} \right)^{2}= 2.83 J/m3