High School

Suppose a certain planar surface has 4000 field lines passing through each square meter, normal to the surface. What is the electric flux through the surface?

A. 4000 Nm²/C
B. 8000 Nm²/C
C. 12000 Nm²/C
D. 16000 Nm²/C

Answer :

Final answer:

The electric flux through the planar surface can be calculated using the formula Electric Flux = Electric Field Strength x Area of the Surface x Cosine of the Angle between the Electric Field and the Surface Normal. In this case, since the surface is perpendicular to the field, the electric flux is equal to the product of the electric field strength and the area of the surface. Hence the correct answer is option A

Explanation:

The electric flux through a surface is proportional to the number of field lines crossing that surface. The formula to calculate the electric flux is: Electric Flux = Electric Field Strength x Area of the Surface x Cosine of the Angle between the Electric Field and the Surface Normal.

In this case, the electric field passing through each square meter of the planar surface is given as 4000 N/C. The surface has a normal direction perpendicular to the field.

Therefore, the electric flux through the surface can be calculated as: Electric Flux = 4000 N/C x 1 m² = 4000 Nm²/C.

So, the correct answer is a) 4000 Nm²/C.