An electrical generator works by placing a loop of wire with area A in a magnetic field B, as shown below. We mechanically rotate the coil at a constant angular speed w. The generator supplies current I to a connected device (i.e., a resistor, lightbulb, refrigerator, etc.) B N S To device (a) What is the flux through the loop at a given time t? b) What is the induced emf in the coil? (c) How can we maximize the current supplied by this generator? (d) If the wire loop has a resistance R, what is the average power supplied by the loop? (Hint: What is the average value of sin"x?)