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)	$\omega \mathrm{L}=\frac{1}{\omega \mathrm{C}}$	(ii)	Current lags behind the applied emf
(c)	$\omega \mathrm{L}<\frac{1}{\omega \mathrm{C}}$	(iii)	Maximum current occurs
(d)	Resonant frequency	(iv)	Current leads the emf

Choose the correct answer from the options given below.

A circular conducting coil of radius $1 \mathrm{m}$ is being heated by the change of magnetic field $\overrightarrow{B}$ passing perpendicular to the plane in which the coil is laid. The resistance of the coil is $2 \mathrm{\mu \Omega }$. The magnetic field is slowly switched off such that its magnitude changes in time as  

$B=\frac{4}{\pi }\times {10}^{-3} T\left(1-\frac{t}{100}\right)$

The energy dissipated by the coil before the magnetic field is switched off completely is $E=\_\_\_\_\_\_\mathrm{mJ}$.

Two circuits are shown in figure $\left(a\right)$ and $\left(b\right)$. At a frequency of _______ $\mathrm{rad} {\mathrm{s}}^{-1}$ the average power dissipated in one cycle will be the same in both the circuits.

A $0.07 \mathrm{H}$ inductor and a $12 \mathrm{\Omega }$ resistor are connected in series to a $220 \mathrm{V}, 50 \mathrm{Hz}$ AC source. The approximate current in the circuit and the phase angle between current and source voltage are respectively.

[Take $\pi$ as $\left.\frac{22}{7}\right]$

Consider an electrical circuit containing a two way switch $S.$ Initially $S$ is open and then $T_1$ is connected to $T_2.$ As the current in $R=6 \mathrm{\Omega }$ attains a maximum value of steady-state level, $T_1$ is disconnected from $T_2$ and immediately connected to $T_3.$ Potential drop across $r=3 \mathrm{\Omega }$ resistor immediately after $T_1$ is connected to $T_3$ is $\_\_\_\_\_\_\mathrm{V}.$ (Round off to the Nearest Integer)

In the given figure the magnetic flux through the loop increases according to the relation ${\varphi }_B\left(t\right)=10t^2+20t$, where ${\varphi }_B$ is in milliwebers and $t$ is in seconds. The magnitude of current through $R=2 \mathrm{\Omega }$ resistor at $t=5 \mathrm{s}$ is _____ $\mathrm{mA}.$