A circular loop of radius R = 18 cm is centered at the origin where there is a constant electric field E = E_xi + E_yj. For this problem, assume E_x = 81 N/C and E_y = 177 N/C.

a. What is the flux through the loop, in Nm²/C, when the loop is oriented so that its normal vector is in the x-direction?

b. What is the flux through the loop, in Nm²/C, when the loop is oriented so that its normal vector is in the negative y-direction?

c. What is the flux through the loop, in Nm²/C, when the loop is oriented so that its normal vector is in the positive z-direction?