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Question

An electrostatic field line leaves at angle α from point charge +q1, and connects with point charge q2 at angle β. Find the ratio q1q2 (Given : α=60, β=90).

A
12
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B
21
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C
34
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D
None of these
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Solution

The correct option is B 21
The solid angle substituted by the charge q1 is
Ω1=2π(1cos 60)=π
And the solid angle substituted by the charge q2 is
Ω2=2π(1cos 90)=2π
Flux from q1=q14πϵ0×Ω1=q14πϵ0×π=q14ϵ0
Flux from q2=q24πϵ0×Ω2=q24πϵ0×2π=q22ϵ0

Outward flux = inward flux
q14ϵ0=q22ϵ0
q1q2=21

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