Item $5$

Shrinking Loop. A circular loop of flexible iron wire has an initial circumference of $161$ cm $,$ but its circumference is decreasing at a constant rate of $\backslash (11\mathrm{.}0\backslash$mathrm$\{$~cm$\}/\backslash$mathrm$\{$s$\}\backslash )$ due to a tangential pull on the wire. The loop is in a constant uniform magnetic field of magnitude $0\mathrm{.}900$ T $,$ which is oriented perpendicular to the plane of the loop. Assume that you are facing the loop and that the magnetic field points into the loop.

Part A

Find the magnitude of the emf $\backslash (\backslash$mathcal$\{$E$\}\backslash )$ induced in the loop after exactly time $7\mathrm{.}00$ s has passed since the circumference of the loop started to decrease.

Express your answer numerically in volts to three significant figures.

$-$ View Available Hint$($s$)$

Part B

Find the direction of the induced current in the loop as viewed looking along the direction of the magnetic field.

clockwise

counterclockwise