Auniform electric field with a magnitude of 125 000 n/c passes through a rectangle with sides of 2.50 m and 5.00 m. the angle between the electric field vector and the vector normal to the rectangular plane is 65.0°. what is the electric flux through the rectangle? a) 1.56 × 106 n⋅m2/c b) 6.60 × 105 n⋅m2/c c) 1.42 × 105 n⋅m2/c d) 5.49 × 104 n⋅m2/c e) 4.23 × 104 n⋅m2/c

Explanation:

The electric flux through the rectangle is given by

where

E is the electric field strength

A is the area of the rectange

is the angle between the direction of the electric field and of the vector normal to the plane of the rectangle

In this problem we have

E = 125 000 N/C

The area of the rectangle is

and the angle is

so, the electric flux is

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