10. Express the wave equation of the standing wave f(z,t) = A sin(kz)cos(kvt) as the sum of a wave traveling to the left and a wave traveling to the right. (A){sin[k(z+vt)] + sin[k(z-vt)]} (B){cos[k(z+vt)] + sin[k(z-vt)]} (C){sinh[k(z+vt)] + sinh[k(z-vt)]} (D){cosh[k(z+vt)] + cosh[k(z-vt)]}

8. A square loop of wire, of side a, lies midway between two long wires, 3a apart, and in the same plane. (Actually, the long wires are sides of a large rectangular loop, but the short ends are so far away that they can be neglected.) A clockwise current I in the square loop is gradually increasing: dI/dt = k (a constant). Find the emf induced in the big loop. Which way will the induced current flow? (A), counterclockwise (B), clockwise (C), counterclockwise (D), clockwise

10. Express the wave equation of the standing wave f(z,t) = A sin(kz)cos(kvt) as the sum of a wave traveling to the left and a wave traveling to the right.
(A){sin[k(z+vt)] + sin[k(z-vt)]}
(B){cos[k(z+vt)] + sin[k(z-vt)]}
(C){sinh[k(z+vt)] + sinh[k(z-vt)]}
(D){cosh[k(z+vt)] + cosh[k(z-vt)]}

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