An L-R series circuit consists of an inductor with inductance, L, connected in series with a resistor with resistance, R. The resistance, R, is a circuit parameter that opposes the current, I, and causes a drop in potential given by Ohm's Law while inductance, L, is a circuit parameter that opposes a change in current. Both the resistor and inductor 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. dI I E = L= + R dt As soon as the switch is opened, the current, I, passing through the circuit varies through time, t. In the given differential equation above, the current I and the time t are the dependent and independent variables, respectively. The electromotive force E, the resistance R, and the inductance L are constants. Using A as the constant of integration, find the general solution in explicit form I = f(t). Knowing that there is no current passing through the circuit wires before the switch is closed (at t = 0, I = 0), set up the particular solution of the given differential equation above in explicit form.

An L-R series circuit consists of an inductor with inductance, L, connected in series with a resistor with resistance, R. The resistance, R, is a circuit parameter that opposes the current, I, and causes a drop in potential given by Ohm's Law while inductance, L, is a circuit parameter that opposes a change in current. Both the resistor and inductor 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. dI I E = L= + R dt As soon as the switch is opened, the current, I, passing through the circuit varies through time, t. In the given differential equation above, the current I and the time t are the dependent and independent variables, respectively. The electromotive force E, the resistance R, and the inductance L are constants. Using A as the constant of integration, find the general solution in explicit form I = f(t). Knowing that there is no current passing through the circuit wires before the switch is closed (at t = 0, I = 0), set up the particular solution of the given differential equation above in explicit form.

Delmar's Standard Textbook Of Electricity

7th Edition

ISBN:9781337900348

Author:Stephen L. Herman

Publisher:Stephen L. Herman

Chapter21: Resistive-capacitive Series Circuits

Section: Chapter Questions

Problem 6RQ: A 15-F AC capacitor is connected in series with a 50 resistor. The capacitor has a voltage rating...

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