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

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