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A line charge of length ' a ' 2 is kept at the center of an edge B C of a cube A B C D E F G H having edge length ' a ' as shown in the figure. If the density of line charge is C per unit length, then the total electric flux through all the faces of the cube will be _______. (Take, ₀ as the free space permittivity)

Options

  1. Aa 2 ₀
  2. Ba 4 ₀
  3. Ca 16 ₀
  4. Da 8 ₀

Correct answer

D. a 8 ₀

Step-by-step solution

aligned & Charge of the line charge = a 2 & Portion of wire inside cube = 1 4 & q_ e n = 1 4 ( a 2 )= a 8 & = q_ e n ₀ = a 8 ₀ aligned

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