solutions_30 - PHY2061 R D Field Chapter 30 Solutions...

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PHY2061 R. D. Field Solutions Chapter 30 Page 1 of 4 Chapter 30 Solutions Problem 1: What is the capacitance C of a solid spherical conducting shell with inner radius R and outer radius 2R ? Answer: 2R/K Solution: The electric potential of the solid spherical conductor is given by R KQ r KQ V 2 = = , where r = 2R is the surface of the conductor. Hence, K R V Q C 2 = = . Problem 2: An energy of 9.0x10 -3 Joules is stored by a capacitor that has a potential difference of 85 Volts across it. Determine the capacitance of the capacitor ( in microF ). Answer: 2.5 Solution: We know that 2 ) ( 2 1 V C U = , and hence F V J V U C µ 5 . 2 ) 85 ( ) 10 9 ( 2 ) ( 2 2 3 2 = × = = . Problem 3: Capacitor #1 with capacitance C and initial charge Q is connected in parallel across an initially uncharged capacitor with capacitance 2C ( #2 ). After the system comes to equilibrium, what is the charge on capacitor #1 ? Answer: Q/3 Solution: After the two capacitors are connected their charges must satisify
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PHY2061 R. D. Field Solutions Chapter 30 Page 2 of 4 C Q C Q Q Q Q 2 2 1 2 1 = = +
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