Problem 3. A conducting rectangular loop is rotating in an external magnetic field as shown. B= 1 T,r= 0.1 m, f = 60 Hz. The length of the loop in the direction perpendicular to the picture is I = 0.3 m. (a) Find the voltage induced in this rotating loop. (b) Suppose that a 10 2 resistor is connected as a load across the terminals of the loop. Express the current flowing through the resistor as a function of time. You will need to make one simplification assumption; explain what it is. (c) For the conditions in (b), calculate the instantaneous and average electric power generated by the loop. (d) Same for mechanical power consumed by the loop.

Problem 3. A conducting rectangular loop is rotating in an external magnetic field as shown. B= 1 T,r= 0.1 m, f = 60 Hz. The length of the loop in the direction perpendicular to the picture is I = 0.3 m. (a) Find the voltage induced in this rotating loop. (b) Suppose that a 10 2 resistor is connected as a load across the terminals of the loop. Express the current flowing through the resistor as a function of time. You will need to make one simplification assumption; explain what it is. (c) For the conditions in (b), calculate the instantaneous and average electric power generated by the loop. (d) Same for mechanical power consumed by the loop.