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Electric circuits miscellaneous

  1. A solid sphere made of insulating material has a radius R and has a total charge Q distributed uniformly in its volume. What is the magnitude of the electric field intensity, E, at a distance r (0 < r < R) inside the sphere?
    1. 1
      .
      Qr
      4πε0R3

    2. 3
      .
      Qr
      4πε0R3

    3. 1
      .
      Q
      4πε0r2

    4. 1
      .
      QR
      4πε0r3
Correct Option: A

By Gauss's theorem

where, Qenc = charge enclosed in radius r

or E(4πr2) =
Qr3
R3

or E =
Qr
4πε0R3



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