Self and Mutual Induction

The SI unit of coefficient of mutual induction is

In a transformer turn’s ratio refers to

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.

A long coaxial cable carries current $I$ (along its surface). The current flows down the surface of inner cylinder of radius $a$ and back along the outer cylinder of radius $b$.

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

In the shown figure the mutual inductance of two coils is $M$, the coil $II$ has resistance $R$ and the self inductance $L$. The current in the coil $I$ varies according to the law $i=at$, where $a$ is a constant and $t$ is time. Find the current in coil $II$ as a function of time (except $M$ for the pair and $L$ for the coil $II$ ignore any other effect of induction).

Uniform magnetic field $B=-B_0\hat{k}$ present from $\mathrm{X}=0$ to $\mathrm{X}=l$. A super conducting loop of given side length $l$ and self inductance $L$ start with speed $v_0$ with no initial current choose correct options. (Mass of loop is $m$)

Uniform magnetic filed $B=-B_0\hat{\mathrm{k}}$ present from $X=0$ to $X=\ell$. A super conducting loop of given side length $l$ and self inductance $L$. Start with speed $v_0$ with no initial current choose current options. (mass of loop is $m$)

Figure shows two identical coils fitted on a wooden bar. Coefficient of self induction of both is $1\mathrm{H}$. Mutual inductance is $0.5\mathrm{H}$. An current $i_1=2\sin \left(100t\right)$ amp is maintained externally in coil - 1 . An external resistor of resistance $\sqrt{3}\times {10}^2\Omega$ is connected to coil $-2$.Ignore any resistance of coil$-2$.

Switch $S$ is closed at $t=0$, in the circuit shown in figure. The change in flux in the inductor $\left(L=500 \mathrm{mH}\right)$ from $t=0$ to an instant when it reaches steady state is

A transformer increases or decreases the voltage of alternating current.

A _____ increases or decreases the voltage of the alternating current.

A step-down transformer has $50$ turns on secondary and $1000$ turns on primary winding. If a transformer is connected to $220 \mathrm{V},1 \mathrm{A}$ A.C. source, what is output current of the transformer?
 

A $100\%$ efficient transformer has $100$ turns in the primary and $25$ turns in its secondary coil. If the current in the secondary coil is $4 \mathrm{A}$, then the current in the primary coil is, 

A step-down transformer is connected to $2400 \mathrm{V}$ line and $80 \mathrm{A}$ of current is found to flow in output load. The ratio of the turns in primary and secondary coil is $20:1$. If transformer efficiency is $100\%,$ then the current flowing in primary coil will be,

A generator supplies $100 \mathrm{V}$ to a transformer's primary coil, which has $100$ turns. If the secondary coil has $500$ turns, what is the secondary voltage?

A $60 W$ load is connected to the secondary of a transformer whose primary draws line voltage. If a current of $0.54 A$ flows in the load, what is the current in the primary coil? Comment on the type of transformer being used.

A generator supplies $100 \mathrm{V}$ to a transformer's primary coil, which has $100$ turns. If the secondary coil has $500$ turns, what is the secondary voltage?