You are given many resistances, capacitors and inductors. These are connected to a variable DC voltage source (the first two circuits) or an AC voltage source of 50 Hz frequency (the next three circuits) in different ways as shown in Column II. When a current I (steady state for DC or rms for AC) flows through the circuit, the corresponding voltage $V_1$ and $V_2$ (indicated in circuits) are related as shown in Column I. Match the two :
STATEMENT 1
A vertical iron rod has a coil of wire wound over it at the bottom end. An alternating current flows in the coil. The rod goes through a conducting ring as shown in the figure. The ring can float at a certain height above the coil.
Because
STATEMENT 2
In the above situation, a current is induced in the ring which interacts with the horizontal component of the magnetic field to produce an average force in the upward direction.
Match the following columns.
| Column I | Column II | ||
|---|---|---|---|
| (A) | Dielectric ring uniformly charged. | (P) | Time independent electrostatic field out of system. |
| (B) | Dielectric ring uniformly charged rotating with angular velocity $$\omega$$. | (Q) | Magnetic field. |
| (C) | Constant current in ring $$io$$ | (R) | Induced electric field. |
| (D) | $$i=i_0\cos\omega t$$ | (S) | Magnetic moment. |
The capacitor of capacitance $C$ can be charged (with the help of a resistance R ) by a voltage source V , by closing switch $\mathrm{S}_1$ while keeping switch $\mathrm{S}_2$ open. The capacitor can be connected in series with an inductor L by closing switch $\mathrm{S}_2$ and opening $\mathrm{S}_1$.
Initially, the capacitor was uncharged. Now, switch $S_1$ is closed and $S_2$ is kept open. If time constant of this circuit is $\tau$, then
JEE Advanced Subjects
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