VRREAn R-C series circuit consists of a capacitor with capacitance, C, connected in series with a resistor withresistance, R. The resistance, R, is a circuit parameter that opposes the amount of electric charges Q, passingthrough the circuit per unit time and causes a drop in potential given by Ohm's Law while the capacitance, C, isa circuit parameter that measures the amount of electric charges that the current carries and stores in thecapacitor. Both the resistor and capacitor cause the total drop in electric potential and is equivalent to the totalelectromotive force, E, which is produced by a voltage source such as batteries.dQE =+R-CdtAs soon as the switch is opened, the initial charge Q, that is stored in the capacitor varies through time, t. Inthe given differential equation above, the charge Q and the time t are the dependent and independentvariables, respectively. The electromotive force E, the resistance R, and the capacitance C are constants.Using A as the constant of integration, find the general solution in explicit form Q = f(t). Knowing that thereare no electric charges stored in the capacitor yet before the switch is closed (at t = 0, Q = 0), set up theparticular solution of the given differential equation above in explicit form.

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An R-C series circuit consists of a capacitor with capacitance, C, connected in series with a resistor with resistance, R. The resistance, R, is a circuit parameter that opposes the amount of electric charges Q, passing through the circuit per unit time and causes a drop in potential given by Ohm's Law while the capacitance, C, is a circuit parameter that measures the amount of electric charges that the current carries and stores in the capacitor. Both the resistor and capacitor cause the total drop in electric potential and is equivalent to the total electromotive force, E, which is produced by a voltage source such as batteries.

An R-C series circuit consists of a capacitor with capacitance, C, connected in series with a resistor with resistance, R. The resistance, R, is a circuit parameter that opposes the amount of electric charges Q, passing through the circuit per unit time and causes a drop in potential given by Ohm's Law while the capacitance, C, is a circuit parameter that measures the amount of electric charges that the current carries and stores in the capacitor. Both the resistor and capacitor cause the total drop in electric potential and is equivalent to the total electromotive force, E, which is produced by a voltage source such as batteries.

University Physics Volume 2

18th Edition

ISBN:9781938168161

Author:OpenStax

Publisher:OpenStax

Chapter9: Current And Resistance

Section: Chapter Questions

Problem 84CP: In this chapter, most examples and problems involved direct current (DC). DC circuits have the...

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