Self and Mutual Induction

The SI unit of coefficient of mutual induction is

The S.I. unit of self-inductance of a coil is 

The circuit arrangement given below shows that when A.C. passes through the coil $A$, the current starts flowing in coil $B$.

Mention the underlying principle involved.

If $0.1\mathrm{ J}$ of energy is stored for the flow of current of $0.2 \mathrm{A}$ in an inductor, then its inductance value is

The network shown in the figure is a part of a complete circuit. If at a certain instant, the current $\text{'}i\text{'}$is $5 \mathrm{A}$ and is decreasing at a rate of ${10}^3 \mathrm{A}{ \mathrm{s}}^{-1},$ then the potential difference $V_{BA}=$

The current in an inductor of self-inductance $L=40\mathrm{mH}$ is to be increased uniformly from $2\mathrm{A}$ to $12\mathrm{A}$ in $8 \mathrm{ms}.$ The emf induced in the inductor during this process is $\_\_\_$

A solenoid has $2000$ turns wound over a length of $0.30 \mathrm{m}$. The area of its cross-section is $1.2\times {10}^{-3} {\mathrm{m}}^2$. Around its central section, a coil of $300$ turns is wound. If an initial current of $2 \mathrm{A}$ in the solenoid is reversed in $0.25 \mathrm{s}$, the e.m.f. induced in the coil is equal to:

The self-inductance of a coil is $50 \mathrm{mH}.$ When a current of $1 \mathrm{A}$ passing through the coil, reduces to zero at a steady rate in $0.1$ second, then find the self-induced $emf.$

The current and emf through an inductance differ by phase by:

In the given circuit, find the energy stored in the coil at steady state.

The initial rate of increase of current when a battery of emf $6 \mathrm{V}$ is connected in series with an inductance of $2 \mathrm{H}$ and resistance $12 \mathrm{\Omega }$ is

The self-inductance of two coils of a transformer is $20 \mathrm{mH}$ and $30 \mathrm{mH}.$ What is the resistance between them?

Two coaxial solenoids are made by winding thin insulated wire over a pipe of cross-sectional area $\mathit{\text{A}}=\text{10 }{\text{cm}}^2$ and length$=20 \mathrm{cm}$. If one of the solenoids has $300$ turns and the other $400$ turns, their mutual inductance is $\left({\mathrm{\mu }}_0=4\mathrm{\pi }\times {\mathrm{10}}^{-7} \mathrm{T} \mathrm{m} {\mathrm{A}}^{-1}\right)$

If the number of turns per unit length of a coil of solenoid is doubled, the self-inductance of the solenoid will

What is self inductance of a coil which produces $5 \mathrm{V}$, when current in it changes from $3 \mathrm{A}$ to $2 \mathrm{A}$ in one millisecond?

In the circuit shown below, $i_1$ and $i_2$ are the steady-state values of the current through $L_1$ and $L_2$ respectively, then $i_1$ is

An inductance $L$ and a resistance $R$ are connected in series with a battery of emf $E$. If the maximum rate (in J/sec) at which the energy is stored in the magnetic field is$\frac{1}{x}$ then find $x$.  [Take $E=0.2 \mathrm{V}$ and $R=1\Omega ]$.

In the figure magnetic energy$\left(\text{in} \mathrm{J}\right)$ stored in the coil is: