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Most Important Selected Qs for JEE AdvancedPhysicsElectrostatics

In a region of space, the electric field E =E₀ x i +E₀ y j . Consider an imaginary cubical volume of edge ' a ' with its edges parallel to the axes of coordinates. Now,

Options

  1. Athe total electric flux through the faces 1 and 3 is E₀ a^3
  2. Bthe charge inside the cubical volume is 2 ₀ E ₀ a ^3
  3. Cthe total electric flux through the faces 2 and 4 is 2 E ₀ a ^3
  4. Dthe charge inside the cubical volume is ₀ E ₀ a ^3 ON

Correct answer

B. the charge inside the cubical volume is 2 ₀ E ₀ a ^3

Step-by-step solution

aligned & = E A & _ in =-v e and _ out =+v e & Q_ net = q_ in ₀ & ₁=0, ₂=E₀ a^3, ₃=E₀ a^3, ₄=0, ₅=0, ₆=0 & Q_ net = ₁+ ₂+ ₃+ ₄+ ₅+ ₆=2 E₀ a^3 2 E₀ a^3= q_ in ₀ q_ in =2 ₀ E₀ a^3 aligned

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