The electric field acting at a region is E = (3î − 4ĵ + 2k̂) V/m. In that region the electric flux associated

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Q. The electric field acting at a region is E = (3î - 4ĵ + 2k̂) V/m. In that region the electric flux associated with a square of side 2 m placed in Y-Z plane is

(a) 12 Vm

(b) 6 Vm

(d) 8 Vm

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The area vector of a Y–Z-plane square points along X (î). Only the x-component of E contributes: φ = E_x·A = 3 × (2²) = 12 Vm. Option (a).

Step 1 — area vector: a square lying in the Y–Z plane has its normal along the X-axis, so A = A î with A = (2 m)² = 4 m².

Step 2 — electric flux φ = E·A = (3î − 4ĵ + 2k̂)·(4î). Only the î component survives the dot product.

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Q.The electric field acting at a region is E = (3î − 4ĵ + 2k̂) V/m. In that region the electric flux associated with a square of side 2 m placed in Y-Z plane is