3.) Answer the following: (a.) A parallel plate capacitor is connected to a battery. While it stays connected to the battery, a dielectric mate- rial with K = 4 is inserted between the plates. Explain how the following quantities will change (increase or decrease) and by what factor: 1.) charge on each plate, 2.) capacitance, 3.) voltage, and 4.) electric energy. Justify your answers. (b.) A parallel plate capacitor is charged and then disconnected from the battery. Explain how the following quan- tities will change (increase or decrease), and by what factor, if the distance between the plates double: 1.) charge on each plate, 2.) capacitance, 3.) voltage, and 4.) electric energy stored. Justify your answers. 4.) A 100 W lightbulb is connected to a 120 V source. (a. ) What is the resistance of the lightbulb? (b. ) How much current flows through the lightbulb? (c. ) During what time interval does 1 C of charge pass through the lightbulb? (d. ) What is the cost of running the lightbulb continuously for 30 days, assuming the electric company charges $ 0.11 per kilowatt-hour