(6%) Problem 3: A uniform electric field of magnitude 17.6 N/C is parallel to the z axis. A circular loop of radius 21.7 cm is centered at the origin with the normal to the loop pointing 52.9" above the z axis.
50% Part (a) Calculate the electric flux in, newton squared meters per coulomb, through the loop.
\Phi = 2.276 \text{ N} \cdot \text{m}^2/\text{C}
50% Part (b) To what angle, in degrees from the positive z axis, should the normal of the loop be rotated so that the flux through the loop becomes
0.414 N \cdot \text{m}^2/\text{C}?
\theta =