JEE MainPhysicsAlternating CurrentMCQ+4 / −1
An LCR circuit contains resistance of 110 and a supply of 220 V at 300 rad/s angular frequency. If only capacitance is removed from the circuit, current lags behind the voltage by 45 . If on the other hand, only inductor is removed the current leads by 45 with the applied voltage. The rms current flowing in the circuit will be :
- A1 A
- B2.5 A
- C2 A
- D1.5 A
View written solutionFree
Correct answer: C
- Given data
- Resistance:
- Supply voltage:
- Angular frequency:
We need the rms current in the original series LCR circuit.
- Case 1: Capacitor removed
Then the circuit becomes a series RL circuit.
Given: current lags voltage by .
For an RL circuit,
with .
So,
- Case 2: Inductor removed
Then the circuit becomes a series RC circuit.
Given: current leads voltage by .
For an RC circuit,
where the phase magnitude is .
Thus,
- Original LCR circuit
In the original series LCR circuit,
But we found
Hence,
So the impedance is
- Current in the circuit
Using
we get
- Option check
- A: ❌
- B: ❌
- C: ✅
- D: ❌
Therefore, the correct answer is Option C.
More from Alternating Current
- Match List I with List II. Choose the correct answer from the options given below : Includes table2021 · MCQ
- An inductor of 10 mH is connected to a 20V battery through a resistor of 10 k and a switch. After a long time, when maximum current is set up in the circuit, the current is switched off. The current in the circuit after 1 s…2021 · Numerical
- A 10 resistance is connected across 220V 50 Hz AC supply. The time taken by the current to change from its maximum value to the rms value is :2021 · MCQ
- Two circuits are shown in the figure (a) & (b). At a frequency of rad/s the average power dissipated in one cycle will be same in both the circuits. Includes diagram2021 · Numerical
- A series LCR circuit driven by 300 V at a frequency of 50 Hz contains a resistance R = 3 k , an inductor of inductive reactance XL = 250 and an unknown capacitor. The value of capacitance to maximize the average power…2021 · MCQ
- In the given circuit the AC source has = 100 rad s-1. Considering the inductor and capacitor to be ideal, what will be the current I flowing through the circuit? Includes diagram2021 · MCQ
- An alternating current is given by the equation i = i1 sin t + i2 cos t. The rms current will be :2021 · MCQ
- In a series LCR resonant circuit, the quality factor is measured as 100. If the inductance is increased by two fold and resistance is decreased by two fold, then the quality factor after this change will be .2021 · Numerical