Consider a uniform electric field ⃗E=3×10³ ̂k N/C. The electric flux of this field through a square of 20 cm on a side whose plane is parallel to the yz plane is N m² C⁻¹.

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(4) Zero. Given: ⃗E=3×10³ ̂k N/C; a square of side 0.20 m parallel to the yz plane. Idea: φ=⃗E·⃗A=EA cos θ, with ⃗A along the normal to the square. A square parallel to the yz plane has its normal along the x-axis: ⃗A=A ̂i with A=0.04 m². ⃗E is along ̂k, so ⃗E·⃗A=(3×10³)(0.04)(̂k·̂i)=0 The field lines run parallel to the square and none pass through it. So the flux is zero.

Consider a uniform electric field ⃗E=3×10³ ̂k N/C. The electric flux of this field through a square of 20 cm on a side whose plane is parallel to the yz plane is ____ N m² C⁻¹.

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