Problem $4$: $(17\%$ of Assignment Value$)$

A rectangular conducting frame of the dimensions shown is dragged at constant speed $v_o$ from a region of no magnetic field through two regions of different uniform magnetic fields as shown below. Note that the two magnetic fields point in different directions.

Choose your answers for parts $($a$)$ and $($b$)$ from the graphs to the right.

Part $($a$)$

Which graph $($A$,$ B $,$ C $,$ D $,$ E $,$ or F$)$ best represents the magnetic flux through the loop as a function of time? Take flux coming out of the page as positive.

Part $($b$)$

Which graph $($A$,$ B$,$ C$,$ D$,$ E$,$ or F$)$ best represents the current induced in the conducting frame as a function of time. Take a counterclockwise current as positive.

Part $($c$)$

What is the magnitude of the induced EMF as the frame is entering the $B_o$ region?

Part $($d$)$

What is the magnitude of the induced EMF as the frame is entering the $\frac{B_o}{3}$ region?

Part $($e$)$

Let $B_o=0\mathrm{.}17T,L=0\mathrm{.}34m,$ and $v_o=3\mathrm{.}4\frac{m}{s}.$ The current induced in the frame as it enters the $\frac{B_o}{3}$ region is $0\mathrm{.}45$ A $.$ Determine the resistance of the conducting frame. Answer in ohms.

$R=$

Grade Summary

Deductions $0\%$