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A cubical region of side a has its centre at the origin. It encloses three fixed point charges, -q at (0,-a / 4,0),+3 q at (0,0,0) and -q at (0,+a / 4,0) . Choose the correct options(s)

Options

  1. AThe net electric flux crossing the plane x=+a / 2 is equal to the net electric flux crossing the plane x=-a /
  2. BThe net electric flux crossing the plane y=+a / 2 is more than the net electric flux crossing the plane y=-a /
  3. CThe net electric flux crossing the entire region is q ₀
  4. DThe net electric flux crossing the plane z=+a / 2 is equal to the net electric flux crossing the plane x=+a /

Correct answer

A. The net electric flux crossing the plane x=+a / 2 is equal to the net electric flux crossing the plane x=-a /

Step-by-step solution

Due to symmetry, the net electric flux passing through x=+ a 2 , x=- a 2 , z=+ a 2 is same According to Gauss's theorem, net electric flux net electric flux crossing through any closed surface = q_ in ₀ = -q+3 q-q ₀ = q ₀ .

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