Part a,b and c

Think of a light dimming circuit that has alight bulb in series with an adjustable circuit element: an inductor, capacitor, or resistor. The diagram shows an adjustable inductor. The electrical supply is standard U.S. AC power (120 Vrms, 60 Hz : 377 rad/s). Find the value of the adjustable (a) resistor,(b) inductor, and (c) capacitor that will reduce the power output of the bulb by a factor of 5. You may assume the bulb resistance is not a function of temperature. The bulb power is 100 W. To get you started: a 100 W bulb has a resistance of 144 ohms. I B To an orgy E supply