Current in LCR series circuit at extreme frequencies – Rankers Physics

LR, RC and LCR Circuits: Practice Problem & Solution

In LCR series circuit the values of \(L\), \(C\), \(R\) and \(E_0\) are \(0.01\text{ H}\), \(10^{-5}\text{ F}\), \(25\ \Omega\) and \(220\text{ V}\) respectively. The value of current flowing in the circuit at \(f = 0\) and \(f = \infty\) will respectively be:
\(8\text{ A}\) and \(0\text{ A}\)
\(0\text{ A}\) and \(0\text{ A}\)
\(8\text{ A}\) and \(8\text{ A}\)
\(0\text{ A}\) and \(8\text{ A}\)

Solution Explained:

To solve this problem, we apply the core principles of LR, RC and LCR Circuits. Understanding the underlying formula is key to arriving at the correct answer below:

At \(f = 0\), the capacitor acts as an open circuit (\(X_C = \infty\)). At \(f = \infty\), the inductor acts as an open circuit (\(X_L = \infty\)). Therefore, current is zero in both cases.

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