Chapter 3, Problem 3.1P

The simple loop rotating in a uniform magnetic field shown in Figure 3-1 has the following characteristics: $\begin{array}{l}B=1.0\text{T}\text{to}\text{the}\text{right}r=0.1m\\ l=0.3\text{m}{\omega }_m=377\text{rad/s}\end{array}$

1. Calculate the voltage $e_{\text{tot}}\left(t\right)$ induced in this rotating loop.
2. What is the frequency of the voltage produced in this loop?
3. Suppose that a 10 Q resistor is connected as a load across the terminals of the loop. Calculate the current that would flow through the resistor.
4. Calculate the magnitude and direction of the induced torque on the loop for the conditions in (c).
5. Calculate the instantaneous and average electric power being generated by the loop for the conditions in (c).
6. Calculate the mechanical power being consumed by the loop for the conditions in (c). How does this number compare to the amount of electric power being generated by the loop?