The three loops of wire shown in the figure are all hanging in the same uniform

Question

The three loops of wire shown in the figure are all hanging in the same uniform magnetic field B that is perpendicular to the page and does not change in time. Assume the uniform field extends very far to the left, right, and down (beyond the edges of the diagram). Loop 1 swings back and forth like the bob in a pendulum. Loop 2 rotates about a vertical axis. Loop 3 oscillates up and down at the end of a spring. Which loop (or loops) Will have an emf induced in them? A) Loop 1 B) Loops 2 C) Loop 3 D) Loops 1 and 3 E) Loops 2 and 3 9. A flat, circuit loop with only one turn and a radius of 5.0 cm is positioned with its plane perpendicular to a uniform 0.60 Test a magnetic field. The loop is suddenly squeezed, reducing its area to almost zero in just 0.50 ms (1,000 ms = 1 s). How big is the EMF induced in the loop? Be sure to use appropriate units.

Explanation / Answer

8) B) loop2

because, magnetic flux changes only through loop2 when it rotates.

9)

induced emf = the rate of change of magnetic flux through the loop

= B*dA/dt

= B*(A1 - A2)/dt

= 0.6*(pi*0.05^2 - 0)/(0.5*10^-3)

= 9.42 volts

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