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For parallel RLC circuit, which of the following statements is not correct?
- a)The bandwidth of the circuit decreases, if R is increased
- b)The bandwidth of the circuit remains the same, if L is increased
- c)At resonance, input impedance is a real quantity
- d)At resonance, the magnitude of input impedance attains its minimum value
Correct answer is option 'D'. Can you explain this answer?
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Verified Answer
For parallel RLC circuit, which of the following statements is not cor...
1) The bandwidth of a parallel RLC circuit is decreases by increasing the resistance
2) The bandwidth is independent of inductance. Hence the bandwidth of the circuit remains the same, if L is increased
3) At resonance the impedance is equal to resistance, it behaves as a pure resistive circuit. Hence the input impedance is a real quantity
4) At resonance, the impedance is equal to resistance. It is the maximum value of impedance and hence current attains its minimum
Most Upvoted Answer
For parallel RLC circuit, which of the following statements is not cor...
Parallel RLC Circuit and Bandwidth
A parallel RLC circuit consists of a resistor (R), an inductor (L), and a capacitor (C) connected in parallel. This type of circuit is commonly used in various electrical systems and applications. One of the important characteristics of a parallel RLC circuit is its bandwidth, which refers to the range of frequencies over which the circuit operates effectively.
Bandwidth and Resistance (Option A)
When the resistance (R) in a parallel RLC circuit is increased, it affects the circuit's bandwidth. The bandwidth is defined as the difference between the upper and lower cutoff frequencies, where the circuit's response decreases by a specified amount (usually -3 dB). As the resistance increases, the circuit becomes more damped, resulting in a decrease in the bandwidth. Therefore, option A is correct.
Bandwidth and Inductance (Option B)
Increasing the inductance (L) in a parallel RLC circuit does not affect the circuit's bandwidth. The bandwidth is primarily determined by the resistance and capacitance values in the circuit. The inductance affects the resonant frequency but does not directly impact the bandwidth. Therefore, option B is incorrect.
Input Impedance and Resonance (Option C)
At resonance, the input impedance of a parallel RLC circuit becomes a real quantity. Resonance occurs when the inductive reactance (XL) is equal to the capacitive reactance (XC). At this frequency, the imaginary components cancel each other out, resulting in a purely resistive impedance. Therefore, option C is correct.
Input Impedance at Resonance (Option D)
Option D states that at resonance, the magnitude of the input impedance attains its minimum value. This statement is incorrect. At resonance, the magnitude of the input impedance in a parallel RLC circuit is at its maximum value, not minimum. The impedance is purely resistive at resonance, and its magnitude is determined by the resistance value. Therefore, option D is incorrect.
Conclusion
In summary, option D is the incorrect statement regarding a parallel RLC circuit. At resonance, the magnitude of the input impedance is at its maximum value, not minimum. The correct statements are:
- The bandwidth of the circuit decreases if the resistance is increased.
- The bandwidth of the circuit remains the same if the inductance is increased.
- At resonance, the input impedance is a real quantity.
A parallel RLC circuit consists of a resistor (R), an inductor (L), and a capacitor (C) connected in parallel. This type of circuit is commonly used in various electrical systems and applications. One of the important characteristics of a parallel RLC circuit is its bandwidth, which refers to the range of frequencies over which the circuit operates effectively.
Bandwidth and Resistance (Option A)
When the resistance (R) in a parallel RLC circuit is increased, it affects the circuit's bandwidth. The bandwidth is defined as the difference between the upper and lower cutoff frequencies, where the circuit's response decreases by a specified amount (usually -3 dB). As the resistance increases, the circuit becomes more damped, resulting in a decrease in the bandwidth. Therefore, option A is correct.
Bandwidth and Inductance (Option B)
Increasing the inductance (L) in a parallel RLC circuit does not affect the circuit's bandwidth. The bandwidth is primarily determined by the resistance and capacitance values in the circuit. The inductance affects the resonant frequency but does not directly impact the bandwidth. Therefore, option B is incorrect.
Input Impedance and Resonance (Option C)
At resonance, the input impedance of a parallel RLC circuit becomes a real quantity. Resonance occurs when the inductive reactance (XL) is equal to the capacitive reactance (XC). At this frequency, the imaginary components cancel each other out, resulting in a purely resistive impedance. Therefore, option C is correct.
Input Impedance at Resonance (Option D)
Option D states that at resonance, the magnitude of the input impedance attains its minimum value. This statement is incorrect. At resonance, the magnitude of the input impedance in a parallel RLC circuit is at its maximum value, not minimum. The impedance is purely resistive at resonance, and its magnitude is determined by the resistance value. Therefore, option D is incorrect.
Conclusion
In summary, option D is the incorrect statement regarding a parallel RLC circuit. At resonance, the magnitude of the input impedance is at its maximum value, not minimum. The correct statements are:
- The bandwidth of the circuit decreases if the resistance is increased.
- The bandwidth of the circuit remains the same if the inductance is increased.
- At resonance, the input impedance is a real quantity.
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For parallel RLC circuit, which of the following statements is not correct?a)The bandwidth of the circuit decreases, if R is increasedb)The bandwidth of the circuit remains the same, if L is increasedc)At resonance, input impedance is a real quantityd)At resonance, the magnitude of input impedance attains its minimum valueCorrect answer is option 'D'. Can you explain this answer?
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For parallel RLC circuit, which of the following statements is not correct?a)The bandwidth of the circuit decreases, if R is increasedb)The bandwidth of the circuit remains the same, if L is increasedc)At resonance, input impedance is a real quantityd)At resonance, the magnitude of input impedance attains its minimum valueCorrect answer is option 'D'. Can you explain this answer? for Electrical Engineering (EE) 2024 is part of Electrical Engineering (EE) preparation. The Question and answers have been prepared according to the Electrical Engineering (EE) exam syllabus. Information about For parallel RLC circuit, which of the following statements is not correct?a)The bandwidth of the circuit decreases, if R is increasedb)The bandwidth of the circuit remains the same, if L is increasedc)At resonance, input impedance is a real quantityd)At resonance, the magnitude of input impedance attains its minimum valueCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for Electrical Engineering (EE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for For parallel RLC circuit, which of the following statements is not correct?a)The bandwidth of the circuit decreases, if R is increasedb)The bandwidth of the circuit remains the same, if L is increasedc)At resonance, input impedance is a real quantityd)At resonance, the magnitude of input impedance attains its minimum valueCorrect answer is option 'D'. Can you explain this answer?.
For parallel RLC circuit, which of the following statements is not correct?a)The bandwidth of the circuit decreases, if R is increasedb)The bandwidth of the circuit remains the same, if L is increasedc)At resonance, input impedance is a real quantityd)At resonance, the magnitude of input impedance attains its minimum valueCorrect answer is option 'D'. Can you explain this answer? for Electrical Engineering (EE) 2024 is part of Electrical Engineering (EE) preparation. The Question and answers have been prepared according to the Electrical Engineering (EE) exam syllabus. Information about For parallel RLC circuit, which of the following statements is not correct?a)The bandwidth of the circuit decreases, if R is increasedb)The bandwidth of the circuit remains the same, if L is increasedc)At resonance, input impedance is a real quantityd)At resonance, the magnitude of input impedance attains its minimum valueCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for Electrical Engineering (EE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for For parallel RLC circuit, which of the following statements is not correct?a)The bandwidth of the circuit decreases, if R is increasedb)The bandwidth of the circuit remains the same, if L is increasedc)At resonance, input impedance is a real quantityd)At resonance, the magnitude of input impedance attains its minimum valueCorrect answer is option 'D'. Can you explain this answer?.
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