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A series RLC circuit is driven by a voltage source which provides a time varying emf...

A series RLC circuit is driven by a voltage source which provides a time varying emf of ϵ = 100cos(8000t)V

and consists of an resistor, capacitor and inductor with values of R = 100 Ohms, L = 1.00 mH, C = 1.00 µF

a) What is the phase constant of the current? Enter your answer in radians.

b) When the potential across the resistor is 0 V, what is the potential across the inductor?

You might find a phasor diagram helpful here!

c) What is the average power provided by the emf source?

d) What driving angular frequency would maximize the power provided by the emf source? Enter your answer in rad/s to three significant digits. Do not use scientific notation.

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