Phase and Impedance, Reactance, Admittance and Susceptance PYQs: JEE Mains Physics

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1. 1. An a.c. source of angular frequency \(\omega\) is connected across a resistor \(R\) and a capacitor \(C\) in series. The current is observed as \(I\). Now the frequency of the source is changed to \(\omega/4\), (keeping the voltage unchanged) the current is found to be \(I/3\). The ratio of resistance to reactance at frequency \(\omega\) is 2026 Hard
2. 2. The figure given below shows an \(LCR\) series circuit with two switches \(S_1\) and \(S_2\). When switch \(S_1\) is closed keeping \(S_2\) open, the phase difference \((\phi)\) between the current and source voltage is \(30°\) and phase difference is \(60°\) when \(S_2\) is closed keeping \(S_1\) open. The value of \((3L_1 - L_2)\) is _______ H.
   2026 Hard
3. 3. A parallel plate capacitor has a capacitance \(\mathrm{C}=200 \mathrm{pF}\). It is connected to \(230 \mathrm{~V}\) ac supply with an angular frequency \(300 \mathrm{rad} / \mathrm{s}\). The \(\mathrm{rms}\) value of conduction current in the circuit and displacement current in the capacitor respectively are _______. 2024 Hard
4. 4. Match List I with List \(II\) Choose the correct answer from the options given below:
   2024 Hard
5. 5. An alternating voltage source \(V =260 \sin (628\,t )\) is connected across a pure inductor of \(5\,mH\). Inductive reactance in the circuit is \(......... \Omega\) 2023 Easy
6. 6. A telegraph line of length \(100 \,km\) has a capacity of \(0.01\,\mu F / km\) and it carries an alternating current at \(0.5 \,kilo \,cycle \,per \,second\). If minimum impedance is required, then the value of the inductance that needs to be introduced in series is__________ \(m H\). \(\text { (if } \pi=\sqrt{10})\) 2022 Medium
7. 7. At very high frequencies, the effective impendance of the given circuit will be \(....\Omega\)
   2021 Hard
8. 8. In an ac circuit, an inductor, a capacitor and a resistor are connected in series with \({X}_{{L}}={R}={X}_{{C}}\). Impedance of this circuit is: 2021 Easy
9. 9. Match List\(-I\) with List\(-II\) :

   List\(-I\)	List\(-II\)
   \((a)\) \(\omega L\,>\,\frac{1}{\omega C}\)	\((i)\) Current is in phase with \(emf\)
   \((b)\) \(\omega {L}=\frac{1}{\omega {C}}\)	\((ii)\) Current lags behind the applied \(emf\)
   \((c)\) \(\omega {L}\, < \,\frac{1}{\omega {C}}\)	\((iii)\) Maximum current occurs
   \((d)\) resonant frequency	\((iv)\) Current leads the \(emf\)

   Choose the correct answer from the options given below : 2021 Medium
10. 10. Match List\(-I\) with List\(-II\)

    List\(-I\)	List\(-II\)
    \((a)\) Phase difference between current and voltage in a purely resistive \(AC\) circuit	\((i)\) \(\frac{\pi}{2} ;\) current leads voltage
    \((b)\) Phase difference between current and voltage in a pure inductive \(AC\) circuit	\((ii)\) zero
    \((c)\) Phase difference between current and voltage in a pure capacitive \(AC\) circuit	\((iii)\) \(\frac{\pi}{2} ;\) current lags voltage
    \((d)\) Phase difference between current and voltage in an \(LCR\) series circuit	\((iv)\) \(\tan ^{-1}\left(\frac{X_{C}-X_{L}}{R}\right)\)

    Choose the most appropriate answer from the options given below: 2021 Medium

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