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A 200 Ω resistor, a coil with 30% reactance, and a capacitor of unknown reactance are in series across an ac source. The circuit is at resonance. Circuit impedance
- a)230
- b)170
- c)200
- d)Can not be determined
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
A 200 Ω resistor, a coil with 30% reactance, and a capacitor of unk...
Resonance results from oscillations in a circuit as stored energy is passed from the inductor to the capacitor. Resonance occurs when XL = XC and the imaginary part of the transfer function is zero. At resonance, the impedance of the circuit is equal to the resistance value as Z = R.
Hence, the correct option is (C)
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A 200 Ω resistor, a coil with 30% reactance, and a capacitor of unk...
Impedance at Resonance
To determine the impedance of the circuit at resonance, we need to understand the properties of the components involved.
Resistor
- The resistor has a resistance of 200 Ω.
Coil
- The coil has 30% reactance, which means it has a reactance of 0.3 times its resistance.
- Since the coil is at resonance, its reactance will cancel out the resistance of the resistor.
Capacitor
- The capacitor's reactance will also cancel out the resistance of the resistor and the reactance of the coil at resonance.
Impedance Calculation
- At resonance, the impedance of the circuit will be equal to the resistance of the resistor, which is 200 Ω.
Therefore, the correct answer is option C) 200.
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A 200 Ω resistor, a coil with 30% reactance, and a capacitor of unknown reactance are in series across an ac source. The circuit is at resonance. Circuit impedancea)230b)170c)200d)Can not be determinedCorrect answer is option 'C'. Can you explain this answer?
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