Practice portal › Alternating Current › Resonance in Series LCR
Asked in GUJCET 2016 · Resonance condition and tuning
At resonance X_L=X_C, that is ω₀L=1/(ω₀C), so statement B holds.
The voltages across L and C are then equal and opposite, so their phase effects cancel: statement A holds.
Z=R+j(X_L-X_C)=R, a purely real impedance: statement D holds.
The resistance R belongs to the resistor and does not change with frequency. At resonance the impedance falls to R; the resistance does not fall to zero.
So the wrong statement is that the value of resistance is zero.
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