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In an inductance-capacitance-resistance (LCR) series circuit, which is connected to an alternating…
In an inductance-capacitance-resistance (LCR) series circuit, which is connected to an alternating current (a.c.) source of a frequency ($\nu$), its signal voltage (v) is equal to $v_x$ for an instantaneous time between 0 and half its time period (T) and equal to zero during the next half period.
(a)
Suppose the frequency of the source is gradually increased, what happens to inductance and capacitance?
(b)
Calculate the root mean square (r.m.s.) voltage of the signal.
(c)
If $X_C = 2X_L = R$, calculate the total impedance of the circuit.
Answer
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From ISC 2025 Practice Physics, question 90.