MHT CET · Physics · Alternating Current
A resistor \(R\), an inductor \(L\) and a capacitor \(C\) are connected in series to an oscillator of frequency \(N\). If the resonance frequency is \(N_R\), then the current lags behind voltage, when
- A \(N=N_R\)
- B \(N=0\)
- C \(N < N_R\)
- D \(N>N_R\)
Answer & Solution
Correct Answer
(D) \(N>N_R\)
Step-by-step Solution
Detailed explanation
Current lags behind the voltage,
\(\begin{aligned}
& X_L>X_C \\
& \Rightarrow \omega L>\frac{1}{\omega C} \\
& \Rightarrow \omega>\frac{1}{\sqrt{L C}} \\
& \Rightarrow N>N_R
\end{aligned}\)
\(\begin{aligned}
& X_L>X_C \\
& \Rightarrow \omega L>\frac{1}{\omega C} \\
& \Rightarrow \omega>\frac{1}{\sqrt{L C}} \\
& \Rightarrow N>N_R
\end{aligned}\)
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