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An AC voltage source is applied across a...

An AC voltage source is applied across an R-C circuit. Angular frequency of the source is `omega`, resistance is R and capacitance is C. The current registered is I. If now the frequency of source is changed to `omega/2` (but maintaining the same voltage), the current in the circuit is found to be two third. calculate the ratio of reactance to resistance at the original frequency `omega` .

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To solve the problem step by step, we will analyze the given information about the R-C circuit and the changes in frequency and current. ### Step 1: Understand the relationship between voltage, current, and impedance In an R-C circuit, the impedance \( Z \) is given by: \[ Z = \sqrt{R^2 + X_C^2} \] ...
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