Single Choice

In an L.C.R series resonant circuit, the power factor is __________.

A$$\infty$$
B$$2\pi$$
C$$1$$
Correct Answer
D$$0$$

Solution

Because of the resonant circuit the reactive power is zero. Thus the power factor is 1, since the apparent power is equal to the real power.


SIMILAR QUESTIONS

Alternating Current

For the LCR circuit, shown here, the current is observed to lead the applied voltage. An additional capacitor C', when joined with the capacitor C present in the circuit, makes the power factor of the circuit unity. The capacitor C', must have been connected in parallel with C and has a magnitued

Alternating Current

The potential differences of the resistance, the capacitor and the inductor are $$80 V, 40 V$$ and $$100 V$$ respectively in an $$L.C.R$$ circuit. The power factor of the circuit is

Alternating Current

The power factor is an L-C-R circuit at resonance is

Alternating Current

If the power factor in a circuit is unity, then the impedance of the circuit is

Alternating Current

In L-C circuit power factor at resonance is:

Alternating Current

A coil has a resistance of $$ 10\Omega $$ and an inductance of $$0.4$$ henry. It is connected to an AC source of $$6.5V,\dfrac{30}{\pi }$$Hz. Find the average power consumed in the circuit.

Alternating Current

The power in A.C. circuit is given by $$P=E_{rms}i_{rms}\cos\phi$$. The value of power factor $$\cos\phi$$ in series LCR circuit at resonance is?

Alternating Current

In an electrical circuit R, L, C and an a.c.voltage source are all connected in series.When L is removed from the circuit, the phase difference between the voltage and the currentin the circuit is $$\pi /3$$. If instead, C is removed from the circuit the phase difference is again $$\pi /3$$. The power factor of the circuit is

Alternating Current

A resistor of $$500 \Omega$$, an inductance of $$0.5 H$$ are in series with an a.c. which is given by $$V = 100\sqrt{2} \sin{\left(1000 t\right)}$$. The power factor of the combination is

Alternating Current

Above figure, shows an $$ac$$ generator connected to a “black box” through a pair of terminals. The box contains an $$RLC$$ circuit, possibly even a multiloop circuit, whose elements and connections we do not know. Measurements outside the box reveal that, $$\xi \left ( t \right )=\left ( 75.00 \right )\sin \omega _{d}t$$ and $$i\left ( t \right )=\left ( 1.20A \right )\sin\left ( \omega _{d}t+42.0^{0} \right )$$. (a) What is the power factor? (b) Does the current lead or lag the $$emf$$? (c) Is the circuit in the box largely inductive or largely capacitive? (d) Is the circuit in the box in resonance? (e) Must there be a capacitor in the box? (f) An inductor? (g) A resistor? (h) At what average rate is energy delivered to the box by the generator? (i) Why don’t you need to know $$\omega _{d}$$ to answer all these questions?

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