An inductor L in series with a resistor R, driven by

Chapter 30, Problem 30.98

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An inductor L in series with a resistor R, driven by asinusoidal voltage source, responds as described by thefollowing differential equation:Vq sin cot =d lL +dtRI.Show that a current of the form I = I0 sin() flowsthrough the circuit by direct substitution into the differentialequation. Determine the amplitude of the current (/0)and the phase difference (f> between the current and thevoltage source

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