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Current in an RC circuit when the frequency of the source changes

This type of question, asked 2 times: 10 May 2023 S2, 18 Apr 2026 S2. All 2 questions below, oldest first.

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  1. Question 1

    10 May 2023 S2

    3
    An a.c. voltage source V=V0sin⁡ωtV = V_0 \sin\omega t is connected across resistance RR and capacitance CC in series. It is given that R=1ωCR = \frac{1}{\omega C} and the peak current is I0I_0. If the angular frequency of the voltage source is changed to ω3\frac{\omega}{3}, then the new peak current in the circuit is

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  2. Question 2

    18 Apr 2026 S2

    137
    A series combination of resistor 'R' and capacitor 'C' is connected to an a.c. source of angular frequency 'ω\omega'. Keeping the voltage same, if the frequency is changed to (ω3)\left(\dfrac{\omega}{3}\right) the current becomes half of the original current. Then the ratio of capacitive reactance and resistance is

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