A constant electric field is present throughout a region of space that includes the plane bounded by the y and z axes and the lines y = 50 cm and z = 50 cm. The electric flux through the plane's surface, in N ⋅ m²/C, is

Question

Quizplus · Accepted Answer

Since the electric field is perpendicular to the yz-plane, the electric flux passing through it will be given by the product of the electric field and the area of the yz-plane. The area of the yz-plane is given by A = 50 cm × 50 cm = 0.25 m². Therefore, the electric flux through the yz-plane is given by Φ = E⋅A = 11e8×0.25 = 2.75e9 N⋅m²/C. Dividing by 1e12 to convert units to N⋅m²/ C, we get Φ = 2.75 N ⋅ m²/C ≈ 25 N ⋅ m²/C. Thus, the correct answer is C.

A Constant Electric Field Is Present Throughout a Region