Advertisements
Advertisements
प्रश्न
When an alternating voltage of 220V is applied across device X, a current of 0.25A flows which lags behind the applied voltage in phase by π/2 radian. If the same voltage is applied across another device Y, the same current flows but now it is in phase with the applied voltage.
- Name the devices X and Y.
- Calculate the current flowing in the circuit when the same voltage is applied across the series combination of X and Y.
उत्तर
(i) In device X, the Current lags behind the voltage by π/2, X is an inductor.
In device Y, Current in phase with the applied voltage, and Y is resistor.
(ii) We are given that,
Current = `"V"/"X"_"L"`
Or, `0.25 = 220/"X"_"L"`,
∴ XL = 880Ω
Again, Current = `"V"/"R"`
Or, `0.25 = 220/"R"`
∴ R = 880Ω
For the series combination of X and Y,
Equivalent impedance Z = `sqrt(880^2 + 880^2)`
Z = `880sqrt2Omega`
Current = `"V"/"Z"`
Or, I = `220/(880sqrt2)`
∴ I = 0.177 A
APPEARS IN
संबंधित प्रश्न
In a series LCR circuit, obtain the condition under which the impedance of the circuit is minimum ?
The figure shows a series LCR circuit with L = 10.0 H, C = 40 μF, R = 60 Ω connected to a variable frequency 240 V source, calculate
(i) the angular frequency of the source which drives the circuit at resonance,
(ii) the current at the resonating frequency,
(iii) the rms potential drop across the inductor at resonance.
A series LCR circuit is connected to an ac source. Using the phasor diagram, derive the expression for the impedance of the circuit. Plot a graph to show the variation of current with frequency of the source, explaining the nature of its variation.
At resonant frequency the current amplitude in series LCR circuit is ______.
Which of the following components of an LCR circuit, with a.c. supply, dissipates energy?
Consider the LCR circuit shown in figure. Find the net current i and the phase of i. Show that i = v/Z`. Find the impedance Z for this circuit.
Define Impedance.
A series LCR circuit driven by 300 V at a frequency of 50 Hz contains a resistance R = 3 kΩ, an inductor of inductive reactance XL = 250 πΩ, and an unknown capacitor. The value of capacitance to maximize the average power should be ______.
Which of the following statements about a series LCR circuit connected to an ac source is correct?
An alternating voltage of 220 V is applied across a device X. A current of 0.22 A flows in the circuit and it lags behind the applied voltage in phase by π/2 radian. When the same voltage is applied across another device Y, the current in the circuit remains the same and it is in phase with the applied voltage.
- Name the devices X and Y and,
- Calculate the current flowing in the circuit when the same voltage is applied across the series combination of X and Y.
