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Electric circuits miscellaneous

  1. Two point charges Q1 = 10 μC and Q2 = 20 μC are placed at coordinates (1, 1, 0) and (– 1, – 1, 0) respect ively. The total electric flux passing through a plane z = 20 will be
    1. 7.5 μC
    2. 13.5 μC
    3. 15.0 μC
    4. 22.5 μC
Correct Option: C

By Gauss’s law,
D .ds = Qend = Ψ
Which states that the “ total flux out of a closed surface is equal to the net charge within the surface”.

Half of the flux will bass through the plane at z = 20 and the other half through the plane at z = – 20

Then, Ψ' =
Qend
=
20 + 10
μc = 15 μ c
22



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