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When an alternating emf is applied to a series LCR circuit, current flowing through it is . (1)…
(i)[3.0]
When an alternating emf $e = 310 \sin(100\pi t)\text{ V}$ is applied to a series LCR circuit, current flowing through it is $i = 5 \sin(100\pi t + \pi/3)\text{ A}$.
(1) What is the phase difference between the current and the emf?
(2) Calculate the average power consumed by the circuit.
(ii)[2.0]
Obtain an expression for the resonant frequency ($f_0$) of a series LCR circuit.
Given: At resonance in a series LCR circuit, $X_L = X_C$
To show: $f_0 = \frac{1}{2\pi\sqrt{LC}}$
Answer
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From ISC 2020 Physics Paper 1, question 20(b).