RLC circuits (AC)

Problem:

A series RLC circuit is driven by a generator with an emf amplitude of 80 V and a current amplitude of 1.25 A.  The current leads the emf by 0.65 rad.  What are the impedance and the resistance of the circuit?

Solution:

Problem:

In the circuit below a 30 V (peak) AC source at 60 Hz is connected to a 90 Ω resistor, a 50 μF capacitor, and a 60 mH inductor in series.  Find the phase of the current through the circuit with respect to the voltage across the source.

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Solution:

Problem:

For the circuits shown below, Vin = V0exp(iωt).
In terms of R L and C find Vout and identify which type of filter each circuit represents.

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Solution:

Problem:

Find the currents in each arm of the parallel LRC circuit with VAC = Re(V0eiωt).   Find the total current and the average power drawn from the generator.

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Solution:

Problem:

For the circuit shown below, determine the value of the current output through the AC generator, in terms of the symbols given, for two limiting conditions.
(a)  The frequency of the AC generator approaches zero.
(b)  The frequency of the AC generator approaches infinity.

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Solution:

Problem:

On the input of the RLC filter shown below the periodic voltage oscillating as U(t) = A sin4(ωt) is applied.  Calculate the output voltage after all transients have decayed if the elements R, L, C have been chosen such that  4ω2LC = 1 and  ωRC = 2.

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Solution: