An electric field E = (2xî) N C⁻¹ exists in space. A cube of side 2m is placed in the space as per figure given below. The electric flux through the cube i $s ______$ N m²/C.

Question

An electric field E = (2xî) N C⁻¹ exists in space. A cube of side 2m is placed in the space as per figure given below. The electric flux through the cube i s ______ N m²/C.

G1 Physics · Accepted Answer

Image Electric field: E = 2xî The cube extends from x = 2 m to x = 4 m. Area of each face normal to x-axis: A = 2 × 2 = 4 m² Flux through left face at x = 2 m: Φ(left) = -E(2)A = -(4)(4) = -16 N m²/C Flux through right face at x = 4 m: Φ(right) = E(4)A = (8)(4) = 32 N m²/C Net flux: Φ(net) = -16 + 32 = 16 N m²/C