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In an LCR circuit R = 100 ohm. When capacitance C is removed, the current lags behind the voltage by π / 3 .When inductance L is removed, the current leads the voltage by π / 3 . The impedance of the circuit is
- a)50 ohm
- b)100 ohm
- c)200 ohm
- d)400 ohm
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
In an LCR circuit R = 100 ohm. When capacitance C is removed, the curr...
When C is removed circuit becomes RL circuit hence 
When L is removed circuit becomes RC circuit hence
From equation (i) and (ii) we obtain XL = XC. This is the condition of resonance and in resonance Z = R = 100Ω.
When L is removed circuit becomes RC circuit hence
From equation (i) and (ii) we obtain XL = XC. This is the condition of resonance and in resonance Z = R = 100Ω.
Most Upvoted Answer
In an LCR circuit R = 100 ohm. When capacitance C is removed, the curr...
Impedance of an LCR Circuit
In an LCR circuit, the impedance is the total opposition to the flow of alternating current (AC). It is a combination of the resistance (R), inductance (L), and capacitance (C) in the circuit. The impedance is represented by the symbol Z and is given by the formula:
Z = √((R^2) + ((XL - XC)^2))
Where XL is the inductive reactance, and XC is the capacitive reactance.
Given Information
- Resistance (R) = 100 ohm
- Current lags behind voltage by π/3 when C is removed.
- Current leads voltage by π/3 when L is removed.
Analysis
When the capacitance (C) is removed, the circuit becomes an RL circuit (consisting of a resistor and an inductor only). The current lags behind the voltage by π/3 in this case. This indicates that the inductor is dominating the circuit behavior, causing the current to lag.
When the inductance (L) is removed, the circuit becomes an RC circuit (consisting of a resistor and a capacitor only). The current leads the voltage by π/3 in this case. This indicates that the capacitor is dominating the circuit behavior, causing the current to lead.
Calculating Impedance
Since the current leads by π/3 when L is removed and lags by π/3 when C is removed, the inductive reactance (XL) and capacitive reactance (XC) are equal in magnitude but opposite in sign.
When XL = XC, the term ((XL - XC)^2) becomes zero in the impedance formula.
Therefore, the impedance simplifies to:
Z = √(R^2)
Substituting the given value of resistance R = 100 ohm:
Z = √(100^2) = 100 ohm
Therefore, the impedance of the circuit is 100 ohm, which corresponds to option 'B'.
In an LCR circuit, the impedance is the total opposition to the flow of alternating current (AC). It is a combination of the resistance (R), inductance (L), and capacitance (C) in the circuit. The impedance is represented by the symbol Z and is given by the formula:
Z = √((R^2) + ((XL - XC)^2))
Where XL is the inductive reactance, and XC is the capacitive reactance.
Given Information
- Resistance (R) = 100 ohm
- Current lags behind voltage by π/3 when C is removed.
- Current leads voltage by π/3 when L is removed.
Analysis
When the capacitance (C) is removed, the circuit becomes an RL circuit (consisting of a resistor and an inductor only). The current lags behind the voltage by π/3 in this case. This indicates that the inductor is dominating the circuit behavior, causing the current to lag.
When the inductance (L) is removed, the circuit becomes an RC circuit (consisting of a resistor and a capacitor only). The current leads the voltage by π/3 in this case. This indicates that the capacitor is dominating the circuit behavior, causing the current to lead.
Calculating Impedance
Since the current leads by π/3 when L is removed and lags by π/3 when C is removed, the inductive reactance (XL) and capacitive reactance (XC) are equal in magnitude but opposite in sign.
When XL = XC, the term ((XL - XC)^2) becomes zero in the impedance formula.
Therefore, the impedance simplifies to:
Z = √(R^2)
Substituting the given value of resistance R = 100 ohm:
Z = √(100^2) = 100 ohm
Therefore, the impedance of the circuit is 100 ohm, which corresponds to option 'B'.
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In an LCR circuit R = 100 ohm. When capacitance C is removed, the current lags behind the voltage by π / 3 .When inductance L is removed, the current leads the voltage by π / 3 . The impedance of the circuit isa)50 ohmb)100 ohmc)200 ohmd)400 ohmCorrect answer is option 'B'. Can you explain this answer?
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In an LCR circuit R = 100 ohm. When capacitance C is removed, the current lags behind the voltage by π / 3 .When inductance L is removed, the current leads the voltage by π / 3 . The impedance of the circuit isa)50 ohmb)100 ohmc)200 ohmd)400 ohmCorrect answer is option 'B'. Can you explain this answer? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about In an LCR circuit R = 100 ohm. When capacitance C is removed, the current lags behind the voltage by π / 3 .When inductance L is removed, the current leads the voltage by π / 3 . The impedance of the circuit isa)50 ohmb)100 ohmc)200 ohmd)400 ohmCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In an LCR circuit R = 100 ohm. When capacitance C is removed, the current lags behind the voltage by π / 3 .When inductance L is removed, the current leads the voltage by π / 3 . The impedance of the circuit isa)50 ohmb)100 ohmc)200 ohmd)400 ohmCorrect answer is option 'B'. Can you explain this answer?.
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