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Physics 202 Homework, Day 10: Chapter 16: #27,33,36,37a,44,45,49a ü 27. An air-filled parallel-plate capacitor has plates of area 2.30 cm2 separated by 1.50 mm. The capacitor is connected to a 12.0-V battery. (a) Find the value of its capacitance. (b) What is the charge on the capacitor? (c) What is the magnitude of the uniform electric field between the plates? ü 33. Given a 2.50 µF capacitor, a 6.25 µF capacitor, and a 6.00 V battery, find the charge on each capacitor if you connect them (a) in series across the battery, (b) in parallel across the battery. ü 36. Two capacitors give and equivalent capacitance of 9.00 pF when connected in parallel, and 2.00 pF when connected in series. What is the capacitance of each capacitor? 2 Day_10_sol.nb 36. Two capacitors give and equivalent capacitance of 9.00 pF when connected in parallel, and 2.00 pF when connected in series. What is the capacitance of each capacitor? ü 37a. For the system of capacitors shown in the figure below, find the equivalent capacitance of the system. ü Day_10_sol.nb ü ü 44. Find the equivalent capacitance between points a and b in the combination of capacitors shwon in the figure below. [Careful! This one is tricky. You may want to redraw the circuit before you start combining capacitors in series and parallel.] ü 45. A 12.0 V battery is connected to a 4.50 µF capacitor. How much energy is stored in the capacitor? 3 4 Day_10_sol.nb 45. A 12.0 V battery is connected to a 4.50 µF capacitor. How much energy is stored in the capacitor? ü 49a. The voltage across an air-filled parallel-plate capacitor is measured to be 85.0 V Whe a dielectric is inserted and completely fills the space between the plates, the voltage drops to 25.0 V. (a) What is the dielectric constant of the inserted material? ü