Find the electric flux passing through the 45° surface of an upright circular cone with a base diameter of 4 m if the electric field going through it is a uniform 20 N/C directed straight upward.

electric flux = 177.625 N-m²/C

Explanation:

given data

angle = 45°

diameter = 4 m

electric field E = 20 N/C

to find out

electric flux

solution

we know electric flux formula that is

electric flux = E * A * cosθ ... 1

here A is area that is

Area = πd²/4 = π (4) ²/4 = 12.56 m²

now put all value in equation 1

electric flux = 20 * 12.56 * cos45

electric flux = 177.625 N-m²/C