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Two thin conducting half plates at =0 and =π/6, are insulated from each other along the z-axes. Given that the potential function for 0≤≤π/6 is (V=-60π/V), the energy stored between the half planes for 0.1≤r≤0.6 m and 0z1 m.
(Assume free space)

 

Option: 1

1 nJ


Option: 2

1.5 nJ


Option: 3

2.5 nJ


Option: 4

3.5 nJ


Answers (1)

best_answer

 

E=-∇? = = - \frac{\1}{\partial x} \frac{\partial }{\partial \phi }\left ( \frac{-60\phi }{\Pi } \right )a\phi

=\frac{6r}{\Pi r} a\phi (V/m))

W_{E}= \int E^{2} dr

W_{E}= \frac{E_{0}}{2} \int_{2}^{1} \int_{0}^{\Pi /6} \int_{0.1}^{0.6}\left ( \frac{60}{\Pi 2} \right )^{2} r dr dz

=\frac{300 E_{o}}{\Pi } ln 6          =1.51 nJ

Posted by

Divya Prakash Singh

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