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a point charge q is located on axis of disc of radius r at distance b from the plane of disc.if one-fourth of electric flux from charge passes through disc then.......(a)r = b (b)r = 2b ans:(a)
Dear shefali
now lets Draw a sphere whose center is at a distance b from the disk and which cover the disk
we know that flux throug a segment which makes an angel θ at the center is
Φ=Q/2ε (1-cosθ)
where cosθ = b/(b2+r2)1/2
given flux passes in 1/4 th
so Q/2ε (1-cosθ) =Q/4ε
1-cosθ = 1/2
cosθ =1/2
b/(b2+r2)1/2 =1/2
r =√3 b
This question is also in Resnick Halliday problem number 64 chapter 24 .and the answer given is r=√3 b
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