In this problem, we will consider a rectangular loop of wire with sides x and y

Question

In this problem, we will consider a rectangular loop of wire with sides x and yplaced in a region where a uniform magnetic field B  exists as shown in (Figure 1). The resistance of the loop is R. For the purposes of this problem we will assume that the area vector A  points out of the page.

Initially, the field is perpendicular to the plane of the loop and is directed out of the page. The loop can rotate about either the vertical or horizontal axis, passing through the midpoints of the opposite sides, as shown.

Which of the following changes would induce an electromotive force (emf) in the loop? When you consider each option, assume that no other changes occur. SELECT ALL THAT APPLY.

A.) The magnitude of B  increases. B.) The magnitude of B  decreases. C.) The loop rotates about the vertical axis (vertical dotted line) shown in the diagram. D.) The loop rotates about the horizontal axis (horizontal dotted line) shown in the diagram. E.)The loop moves to the right while remaining in the plane of the page. F.) The loop moves toward you, out of the page, while remaining parallel to itself.

Explanation / Answer

flux = B.A = B A cos(theta)

if flux changes then emf will be induced.

(A) B changes so flux also changes. so Yes

(B) B changes so flux also changes. so Yes

(C) theta change so flux changes with time so Yes.

(D) theta change so flux changes with time so Yes.

(E)all remains same.

(F) flux is constant as alll quantity remains same

Ans(ABCD)

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