Electrostatics 3 Question 9

9. A disc of radius a4 having a uniformly distributed charge 6C is placed in the xy plane with its centre at a2,0,0. A rod of length a carrying a uniformly distributed charge 8C is placed on the x-axis from x=a4 to x=5a4. Two point charges 7C and 3C are placed at a4,a4,0 and 3a4,3a4,0, respectively. Consider a cubical surface formed by six surfaces x=±a2,y=±a2,z=±a2. The electric flux through this cubical surface is

(2009)

(a) 2Cε0

(b) 2Cε0

(c) 10Cε0

(d) 12Cε0

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Answer:

Correct Answer: 9. (a)

Solution:

  1. Total enclosed charge as already shown is

qnet=6C2+8C47C=2C

From Gauss-theorem, net flux, φnet =qnet ε0=2Cε0



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