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Electric Field Due to a Dipole at a General Point in Space

A charge + q ...

Question

A charge +q is placed at the middle of a closed cylinder of radius r and height h. A spherical shell of radius r with its centre at the point at which charge is placed, is so oriented so that h > 2 r. what is the ratio of flux passing thorugh cylinder and sphere?

A

$\frac{1}{4}$

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B

$\frac{h}{2 r}$

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C

$\frac{1}{1}$

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D

$\frac{(2 r + h)}{2 r}$

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Solution

The correct option is C
$\frac{1}{1}$

$ϕ_{s p h e r e} = \frac{q}{ϵ_{0}} ϕ_{c y l i n d e r} = \frac{q}{ϵ_{0}} ϕ_{c y l i n d e r} + ϕ_{s p h e r e} = 1.0 : 1.0$

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