Q.17 Two charges of magnitudes -4Q and +2Q are located at points (2a, 0) and (5a, 0) respectively. What is
the electric flux due to these charges through a sphere of radius 4a with its centre a
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Answer:
Using Gauss's law
Flux(ϕ)=
ϵ
0
q
where, q is the total charge inside the surface
Here, q=−2Q and gaussian surface is a sphere of radius 3a and center at origin.
So,Flux(ϕ)=
ϵ
0
−2Q
Here, flux is only due to charge -2Q because no. of field lines enter the sphere due to charge +Q is equal to no. of field lines coming out of the sphere, so net flux is zero due to charge +Q.
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