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Two charges of 5 Q and - 2 Q are situated at the points ( 3 a , 0 ) and ( - 5 a , 0 ) respectively. The electric flux through a sphere of radius 4 a having centre at origin is:

Options

  1. A2 Q ε 0
  2. B5 Q ε 0
  3. C7 Q ε 0
  4. D3 Q ε 0

Correct answer

B. 5 Q ε 0

Step-by-step solution

As can be seen from the figure above, only the 5 Q charge is inside the spherical region. The formula to calculate the flux through the surface is given by ϕ = q enc ε 0 . . . 1 From equation ( 1 ) , the flux through the given surface can be calculated as follows: ϕ = 5 Q ε 0

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