22: An AC current source is connected to an inductor with an inductance L = 10 H. At time t = 0, the current through the inductor is i0 = 0 A. The power supply provides a time-dependent current i through the inductor as described by the following equation: i(t) = 10•cos(ωt), where ω = 500 rad/s. The current is measured in units of Amps. Part (a) Determine the current through the inductor, in amperes, at time t = 2.5 sec.
22: An AC current source is connected to an inductor with an inductance L = 10 H. At time t = 0, the current through the inductor is i0 = 0 A. The power supply provides a time-dependent current i through the inductor as described by the following equation: i(t) = 10•cos(ωt), where ω = 500 rad/s. The current is measured in units of Amps. Part (a) Determine the current through the inductor, in amperes, at time t = 2.5 sec.
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter21: Alternating-Current Circuits And Electromagnetic Waves
Section: Chapter Questions
Problem 16CQ: An inductor and a resistor are connected in series across an AC generator, as shown in Figure...
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22: An AC current source is connected to an inductor with an inductance L = 10 H. At time t = 0, the current through the inductor is i0 = 0 A. The power supply provides a time-dependent current i through the inductor as described by the following equation: i(t) = 10•cos(ωt), where ω = 500 rad/s. The current is measured in units of Amps.
Part (a) Determine the current through the inductor, in amperes, at time t = 2.5 sec.
Part (b) Determine the voltage across the inductor, in volts, at time t = 2.5 sec.
Part (c) Determine the magnitude of the maximum voltage, in volts, across the inductor.
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