The figure shows a circuit that contains three identical resistors with resistance $R = 9.0 \,\Omega$ each,two identical inductors with inductance $L = 2.0 \,mH$ each,a capacitor $C$,and an ideal battery with $emf \,\varepsilon = 18 \,V$. The current $i$ through the battery just after the switch is closed is:

  • A
    $0.2 \,A$
  • B
    $4.0 \,A$
  • C
    $0 \,A$
  • D
    $2 \,mA$

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The circuit shown in the figure contains an inductor $L = 25 \text{ mH}$, a capacitor $C_0 = 10 \text{ } \mu\text{F}$, a resistor $R_0 = 5 \text{ } \Omega$ and an ideal battery of $20 \text{ V}$. The circuit also contains two keys $K_1$ and $K_2$. Initially, both the keys are open and there is no charge on the capacitor. At an instant, key $K_1$ is closed and immediately after this, the current in $R_0$ is found to be $I_1$. After a long time, the current attains a steady state value $I_2$. Thereafter, $K_2$ is closed and simultaneously $K_1$ is opened, and the voltage across $C_0$ oscillates with amplitude $V_0$ and angular frequency $\omega_0$. Match the quantities mentioned in $List-I$ with their values in $List-II$ and choose the correct option.
$List-I$$List-II$
$(P)$ The value of $I_1$ in Ampere is$(1)$ $0$
$(Q)$ The value of $I_2$ in Ampere is$(2)$ $2$
$(R)$ The value of $\omega_0$ in kilo-radians/s is$(3)$ $4$
$(S)$ The value of $V_0$ in Volt is$(4)$ $20$
$(5)$ $200$

The current $i$ in a coil varies with time as shown in the figure. The variation of induced $emf$ with time would be:

The switches in figures $(a)$ and $(b)$ are closed at $t = 0$.

In $SI$,Henry is the unit of

Which of the following is constructed on the principle of electromagnetic induction?

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