A source provides a sinusoidal current is(t) of 60 Hz to two resistors and a capacitor, so that through this last element circulates a current ic(t). R2 i,(t) R1 ic(t)

Introductory Circuit Analysis (13th Edition)
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Publisher:Robert L. Boylestad
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A source provides a sinusoidal current is(t) of 60 Hz to two resistors and a capacitor, so that
through this last element circulates a current ic(t).
R2
i,(t) (
R1
tie(t)
e) Indicate under what conditions it would be ic(t). behind with respect to i,(t); under
which would it be in phase and under which would be advanced
f) If C increased and the rest of the circuit remained the same, indicate whether the rms value of ic(t).
would increase or decrease
Transcribed Image Text:A source provides a sinusoidal current is(t) of 60 Hz to two resistors and a capacitor, so that through this last element circulates a current ic(t). R2 i,(t) ( R1 tie(t) e) Indicate under what conditions it would be ic(t). behind with respect to i,(t); under which would it be in phase and under which would be advanced f) If C increased and the rest of the circuit remained the same, indicate whether the rms value of ic(t). would increase or decrease
Expert Solution
Step 1

To solve above problem, one should have basic idea about working of AC circuits.

Above given circuit is a R-C circuit.

In ac circuits having energy storage elements like L and C their impedance is a function of supply frequency.

Ac circuits cannot be solved directly by applying rules of arithmetic. To solve AC circuit we have to solve them in phasor domain where, reactive components are added together and resistive components together and to add the both phasor sum is required.

Active power is only consumed by resistive loads and reactive power in the circuit comes from inductor and capacitor connected in the circuit.

If reactive power is zero means either the circuit is in resonance no inductors and capacitors present in the circuit.

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