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Consider the following statement regarding the properties of a Parallel R-L-C under resonance:
- The bandwidth of the circuit remains the same if L is increased
- Current Magnification occurs in the Parallel RLC circuit.
- It is known as an anti-resonant circuit.
- Power factor is unity and current in the circuit is maximum
Which of the above statement is/are True?
- a)1 Only
- b)1, 2 and 4
- c)1, 2 and 3
- d)2 and 3
Correct answer is option 'C'. Can you explain this answer?
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Most Upvoted Answer
Consider the following statement regarding the properties of a Paralle...
Statements 1, 2, and 3 are true regarding the properties of a Parallel R-L-C under resonance.
Parallel RLC circuit:
The characteristic equation is given as,
The bandwidth of a parallel RLC network is given as:
The bandwidth is independent of inductance. Hence the bandwidth of the circuit remains the same if L is increased.
A parallel circuit containing a resistance, R, an inductance, L and a capacitance, C will produce a parallel resonance (also called anti-resonance) circuit when the resultant current through the parallel combination is in phase with the supply voltage. So, parallel resonance circuit is also called an anti-resonant circuit.
In parallel RLC circuit current through inductor and current through the capacitor is greater than source current, this phenomenon is called current magnification.
Parallel RLC circuit:
The characteristic equation is given as,
The bandwidth of a parallel RLC network is given as:
The bandwidth is independent of inductance. Hence the bandwidth of the circuit remains the same if L is increased.
A parallel circuit containing a resistance, R, an inductance, L and a capacitance, C will produce a parallel resonance (also called anti-resonance) circuit when the resultant current through the parallel combination is in phase with the supply voltage. So, parallel resonance circuit is also called an anti-resonant circuit.
In parallel RLC circuit current through inductor and current through the capacitor is greater than source current, this phenomenon is called current magnification.
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Community Answer
Consider the following statement regarding the properties of a Paralle...
The correct answer is option 'C' - 1, 2, and 3.
Explanation:
1. The bandwidth of the circuit remains the same if L is increased:
When the inductance (L) of a parallel RLC circuit is increased, the resonance frequency decreases. However, the bandwidth of the circuit remains the same. The bandwidth is determined by the quality factor (Q) of the circuit, which is independent of the inductance. Therefore, statement 1 is true.
2. Current Magnification occurs in the Parallel RLC circuit:
At resonance, the impedance of the parallel RLC circuit is minimum. This results in maximum current flow through the circuit. The current magnification occurs because the impedance of the inductor and capacitor cancel each other out, leaving only the resistance. Therefore, statement 2 is true.
3. It is known as an anti-resonant circuit:
A parallel RLC circuit under resonance is often referred to as an anti-resonant circuit. This is because the impedance of the circuit is minimum at resonance, and the current is maximum. It is the opposite of a series RLC circuit, where the impedance is maximum at resonance. Therefore, statement 3 is true.
4. Power factor is unity and current in the circuit is maximum:
At resonance, the power factor of a parallel RLC circuit is unity. This means the current and voltage are in phase. The power factor is a measure of the efficiency of power transfer in the circuit, and unity power factor indicates maximum power transfer. Therefore, statement 4 is true.
In conclusion, all the given statements are true.
Explanation:
1. The bandwidth of the circuit remains the same if L is increased:
When the inductance (L) of a parallel RLC circuit is increased, the resonance frequency decreases. However, the bandwidth of the circuit remains the same. The bandwidth is determined by the quality factor (Q) of the circuit, which is independent of the inductance. Therefore, statement 1 is true.
2. Current Magnification occurs in the Parallel RLC circuit:
At resonance, the impedance of the parallel RLC circuit is minimum. This results in maximum current flow through the circuit. The current magnification occurs because the impedance of the inductor and capacitor cancel each other out, leaving only the resistance. Therefore, statement 2 is true.
3. It is known as an anti-resonant circuit:
A parallel RLC circuit under resonance is often referred to as an anti-resonant circuit. This is because the impedance of the circuit is minimum at resonance, and the current is maximum. It is the opposite of a series RLC circuit, where the impedance is maximum at resonance. Therefore, statement 3 is true.
4. Power factor is unity and current in the circuit is maximum:
At resonance, the power factor of a parallel RLC circuit is unity. This means the current and voltage are in phase. The power factor is a measure of the efficiency of power transfer in the circuit, and unity power factor indicates maximum power transfer. Therefore, statement 4 is true.
In conclusion, all the given statements are true.
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