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Which of the following statements is correct for L_C_R series combination in the condition of resonance
- a)Resistance is zero
- b)Impedance is zero
- c)Reactance is zero
- d)Resistance, impedance and reactance all are zero
Correct answer is option 'C'. Can you explain this answer?
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Most Upvoted Answer
Which of the following statements is correct for L_C_R series combinat...
The correct statement for an L_C_R series combination in the condition of resonance is that the reactance is zero.
Explanation:
Resonance occurs in an L_C_R series combination when the inductive reactance (XL) and capacitive reactance (XC) cancel each other out, resulting in a net reactance of zero. At resonance, the inductor and capacitor in the circuit are in balance, allowing maximum current to flow through the circuit.
Let's understand this in more detail:
1. Impedance in an L_C_R series combination:
The total impedance (Z) in an L_C_R series combination is given by the formula:
Z = √(R^2 + (XL - XC)^2)
At resonance, XL = XC, which means that the difference between the inductive and capacitive reactances is zero. Therefore, the impedance equation becomes:
Z = √(R^2 + 0^2) = R
Hence, the impedance at resonance is equal to the resistance in the circuit.
2. Resistance in an L_C_R series combination:
Resistance (R) is a constant component of the circuit and does not change with frequency or resonance. It represents the opposition to the flow of current due to the inherent resistance in the wires and other components in the circuit.
Therefore, resistance does not become zero at resonance.
3. Reactance in an L_C_R series combination:
Reactance is the opposition to the flow of alternating current due to the presence of inductance or capacitance in a circuit. It is denoted by the symbols XL for inductive reactance and XC for capacitive reactance.
At resonance, XL = XC, and their difference becomes zero. This means that the inductive reactance cancels out the capacitive reactance, resulting in a net reactance of zero.
Hence, the correct statement is that the reactance is zero at resonance in an L_C_R series combination.
Explanation:
Resonance occurs in an L_C_R series combination when the inductive reactance (XL) and capacitive reactance (XC) cancel each other out, resulting in a net reactance of zero. At resonance, the inductor and capacitor in the circuit are in balance, allowing maximum current to flow through the circuit.
Let's understand this in more detail:
1. Impedance in an L_C_R series combination:
The total impedance (Z) in an L_C_R series combination is given by the formula:
Z = √(R^2 + (XL - XC)^2)
At resonance, XL = XC, which means that the difference between the inductive and capacitive reactances is zero. Therefore, the impedance equation becomes:
Z = √(R^2 + 0^2) = R
Hence, the impedance at resonance is equal to the resistance in the circuit.
2. Resistance in an L_C_R series combination:
Resistance (R) is a constant component of the circuit and does not change with frequency or resonance. It represents the opposition to the flow of current due to the inherent resistance in the wires and other components in the circuit.
Therefore, resistance does not become zero at resonance.
3. Reactance in an L_C_R series combination:
Reactance is the opposition to the flow of alternating current due to the presence of inductance or capacitance in a circuit. It is denoted by the symbols XL for inductive reactance and XC for capacitive reactance.
At resonance, XL = XC, and their difference becomes zero. This means that the inductive reactance cancels out the capacitive reactance, resulting in a net reactance of zero.
Hence, the correct statement is that the reactance is zero at resonance in an L_C_R series combination.
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Community Answer
Which of the following statements is correct for L_C_R series combinat...
For resonance,Capacitive reactance should be equal to inductive reactance hence impedance become minimum and current is maximum
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Which of the following statements is correct for L_C_R series combination in the condition of resonancea)Resistance is zerob)Impedance is zeroc)Reactance is zerod)Resistance, impedance and reactance all are zeroCorrect answer is option 'C'. Can you explain this answer?
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