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An alternating emf of is applied to a circuit containing a resistor R having resistance of and a…

Physics20185 marksNumerical
An alternating emf of $220\text{V}$ is applied to a circuit containing a resistor R having resistance of $160\,\Omega$ and a capacitor ‘C’ in series. The current is found to lead the supply voltage by an angle $\theta = \tan^{-1}(3/4)$.
(i)[3.0]
Calculate: (1) The capacitive reactance (2) Impedance of the circuit (3) Current flowing in the circuit
(ii)[2.0]
If the frequency of the applied emf is $50\text{ Hz}$, what is the value of the capacitance of the capacitor ‘C’?

Answer

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Alternating Current

From ISC 2018 Physics Paper 1, question 20(a).