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प्रश्न
Answer the following question.
What is the phase difference between the voltages across the inductor and the capacitor at resonance in the LCR circuit?
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उत्तर
It can be observed from the phasor diagram that the voltage across the inductor leads the current by `pi/2` and that along the capacitor leads the current by `pi/2`, so in every situation, the phase difference between the inductor and the capacitor is `pi`.
संबंधित प्रश्न
In a series LCR circuit, obtain the condition under which the impedance of the circuit is minimum ?
(i) An a.c. source of emf ε = 200 sin omegat is connected to a resistor of 50 Ω . calculate :
(1) Average current (`"I"_("avg")`)
(2) Root mean square (rms) value of emf
(ii) State any two characteristics of resonance in an LCR series circuit.
In a series, LCR circuit, obtain an expression for the resonant frequency.
Using the phasor diagram, derive the expression for the current flowing in an ideal inductor connected to an a.c. source of voltage, v= vo sin ωt. Hence plot graphs showing the variation of (i) applied voltage and (ii) the current as a function of ωt.
Derive an expression for the average power dissipated in a series LCR circuit.
Figure shows a series LCR circuit connected to a variable frequency 230 V source. L = 5.0 H, C = 80 µF, R = 40 Ω.
- Determine the source frequency which drives the circuit in resonance.
- Obtain the impedance of the circuit and the amplitude of current at the resonating frequency.
- Determine the rms potential drops across the three elements of the circuit. Show that the potential drop across the LC combination is zero at the resonating frequency.
In a series LCR circuit supplied with AC, ______.
A series LCR circuit containing a 5.0 H inductor, 80 µF capacitors, and 40 Ω resistor is connected to a 230 V variable frequency ac source. The angular frequencies of the source at which power is transferred to the circuit are half the power at the resonant angular frequency are likely to be ______.
To reduce the resonant frequency in an LCR series circuit with a generator ______.
To reduce the resonant frequency in an L-C-R series circuit with a generator ______.
