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An a.c. source of angular frequency omeg...

An a.c. source of angular frequency `omega` is fed across a resistor R and a capacitor C in series. The current registered is I. If you the frequency of source is changed to `omega//3`, maintaining the same voltage, current in the circuits is found to be halved. Caculate the ratio of reactance to resistance at the original frequency `omega`.

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To solve the problem, we need to analyze the behavior of the current in an R-C circuit when the frequency of the AC source is changed. Here’s a step-by-step solution: ### Step 1: Understand the relationship between current, voltage, and impedance The current \( I \) in an R-C circuit is given by the formula: \[ I = \frac{V}{Z} \] where \( V \) is the voltage across the circuit and \( Z \) is the impedance of the circuit. ...
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