A 3.60cm x 4.50cm rectangle lies in the xy-plane. What is the electric flux through the rectangle if E=(80.0i + 50k) N/C ?
Φ = E * A =EAcos(θ)
The Attempt at a Solution
First convert the rectangle units from cm to m.
4.50cm = 0.045m
3.60cm = 0.036m
Find the area of the rectangle.
A = 0.036m x 0.045m = 0.00162 m^2
Find the magnitude of the electric field.
E = sqrt (50^2 + 80^2) = 94.34 N?C (aprox.)
Multiply the two,
electric flux = E * A = 0.15283 Nm^2 / C (aprox.)
However, this answer is wrong. Could anyone point me in the right direction? I am not sure how to incorporate the cosine into this. Thank you.