An RC circuit has an emf of 10 sin t (volts), a resistance of 100 ohms, a capacitance of 0.005 farad, and no initial charge on the capacitor. (a)what is the differential equation governing the amount of charge on the capacitor? (b) what is the integrating factor of it?(c) what is the charge on the capacitor at any time t? (d)what is the current in the circuit at any time t?

University Physics Volume 2
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ISBN:9781938168161
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Chapter10: Direct-current Circuits
Section: Chapter Questions
Problem 52P: A 2.00- and a 7.50F capacitor can be connected in series or parallel, as can a 25.0- and a 100k...
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  1. An RC circuit has an emf of 10 sin t (volts), a resistance of 100 ohms, a capacitance of 0.005 farad, and no initial charge on the capacitor. (a)what is the differential equation governing the amount of charge on the capacitor? (b) what is the integrating factor of it?(c) what is the charge on the capacitor at any time t? (d)what is the current in the circuit at any time t?
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