In a given region of space, the vector magnetic potential is given by A = 5 cos πy + (2 +...

In a given region of space, the vector magnetic potential is given by A = 5 cos πy + (2 + sin πx) (Wb/m).

(a) Determine B.

(b) Use Eq. to calculate the magnetic flux passing through a square loop with 0.25-m-long edges if the loop is in the x-y plane, its center is at the origin, and its edges are parallel to the x- and y-axes.

(c) Calculate Φ again using Eq.

Equation

Equation