1. (5) A parallel plate capacitor is made out of two circular conducting plates of radius 0.89 cm, with a gap of d=0.3?U mm, lled with air. (a) What is the capacitance of this capacitor? (b) Suppose the capacitor is connected to a 1.50 V battery. What is the electric eld in the space between the plates when the capacitor is fully charged? (c) After the capacitor is fully charged and the battery is disconnected, the capacitor plates are moved with respect to each other. Sketch the behavior of capacitance C, and voltage, V as a function of distance, d. 2. [3) A 375 pF simple parallel plate capacitor has two circular metal plates with diameters of 2.20 cm separated by a thin sheet of Mylar (R: = 3.11) (a) What is the thickness of the mylar? {b} Using the breakdown eld (dielectric strength) for mylar found in table 31.1 in the textbook, estimate the largest amount of charge that can be stored on each plate of the capacitor 3. (5) In the circuit pictured, V=2.?50 V, R1=3? k, R2=110 k, R3=29 k, and R4: 44 k. (a) Find the equivalent resistance of the circuit (in) Find the current through R1. (c) Find the currents through R2, R3 and R4. 4. (3) Suppose you built the circuit in the previous question and wanted to check whether your answers for the currents were correct. Show, by drawing circuit diagrams, how you would hook up an ammeter to the circuit to measure each of the currents R1 through R4