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An inductor is self-indcutance 0.5 H is ...

An inductor is self-indcutance 0.5 H is connected is series with a resistance 200 `Omega` and a variable capacitor. Now this combination is connected to an AC source of angular frequency 1000 rad/s. What capacitance should be adjusted for capacitor to get maximum current in the circuit ?

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To find the capacitance required for maximum current in the circuit, we need to analyze the resonance condition in an RLC series circuit. The steps are as follows: ### Step-by-Step Solution: 1. **Understanding Resonance Condition**: In a series RLC circuit, maximum current occurs at resonance when the inductive reactance (\(X_L\)) is equal to the capacitive reactance (\(X_C\)). This can be expressed mathematically as: \[ X_L = X_C ...
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