Q.

A point charge Q is located on the axis of a disc of radius R at a distance b from the plane of the disc (figure). Show that if one-fourth of the electric flux from the charge passes through the disc, then R=xb3, Find x

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answer is 3.

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Detailed Solution

We have  ϕ=(1cosθ)Q20
But, Q0=ϕtotal
ϕ=(ϕtotal)(1cosθ2)
Given that  ϕ=14(ϕtotal)
 

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Substituting in Eq. (i)
We get,  θ=600
Rb=tan600=3  R=3b

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