Inductance

Two coils have inductances L₁ = 1200 mH and L₂ = 800 mH. They are connected in such a way that flux in the two coils aid each other and inductor is measured to be 2500 mH then Mutual inductor between the coils is ___________ mH.

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.

The magnetic energy stored in an inductor of inductance $4 \mathrm{\mu H}$ carrying a current of $2 \mathrm{A}$ is:

A coil has an inductance of $2 \mathrm{H}$ and resistance of $4 \mathrm{\Omega }$. A $10 \mathrm{V}$ is applied across the coil. The energy stored in the magnetic field after the current has built up to its equilibrium value will be _____ $\times {10}^{-2} \mathrm{J}$

A $12 \mathrm{V}$ battery connected to a coil of resistance $6 \Omega$ through a switch, drives a constant current in the circuit. The switch is opened in $1 \mathrm{ms}$. The emf induced across the coil is $20 \mathrm{V}$. The inductance of the coil is :

The magnitude of induced e.m.f. in a coil of inductance $1 \mathrm{mH}$ in which a current is changing from$0.1 \mathrm{A}$to $2.1 \mathrm{A}$ in $0.01$ sec is

The mutual inductance of the system of two coils is $5 \mathrm{mH}$. The current in the first coil varies according to the equation $I=I_0\sin \omega t$ where $I_0=10 \mathrm{A}$ and $\omega =100\pi \mathrm{rad} {\mathrm{s}}^{-1}$. The value of maximum induced emf in the second coil is _____ .

An emf induced in a secondary coil is $20000 \mathrm{V}$ when the current breaks in the primary. The mutual inductance is$5 \mathrm{H}$and the current reaches to zero in ${10}^{-4} \mathrm{s}$ in primary. Calculate the maximum current in the primary before the break.

Coil 1 has self-inductance $L_1$ which is $3$ times the self-inductance $L_2$ of coil 2. If during a certain instant, the rate of increase in current and the power dissipated in these two coils is the same, then determine the ratio of

(a) their induced voltages

(b) currents

(c) energy stored in the two coils at that instant.

There is a pair of concentric and coplanar conducting loops of radii $R_1$ and $R_2$ such that $R_2=0.01 R_1$. To which of the following is the mutual inductance $M$ for this pair directly proportional?

In a uniform and constant magnetic field of induction $B$, two long conducting wires $ab$ and $cd$ are kept parallel to each other at distance $l$ with their plane perpendicular to $B$. The ends $a$ and $c$ are connected together by an ideal inductor of inductance $L$. A conducting slider wire $PQ$ is imparted a speed $v_0$, at time $t=0$. The situation is shown in the figure. AT time $t=\frac{\pi \sqrt{mL}}{4Bl}$, the value of current $I$ through the wire $PQ$ is (ignore any resistance, electrical as well as mechanical)

​​​​​​​

In the figure shown, $V_{ab}$ at $t=1 \mathrm{s}$ is

A $2\mu \mathrm{F}$ capacitor is charged to $50 \mathrm{V}$ by a battery. The battery is removed after capacitor is fully charged. At time $t=0$, a $10 \mathrm{mH}$ coil is connected in series with the capacitor. The maximum rate at which the current changes in the circuit is

A mutual inductor consists of two coils $X$ and $Y$ as shown in figure in which one-quarter of the magnetic flux produced by $X$ links with $Y$, giving a mutual inductance $M$. What will be the mutual inductance when $Y$ is used as the primary?

A pair of adjacent coils has a mutual inductance of $1.5 \mathrm{H}$. If the current in one coil changes from $0$ to $20 \mathrm{A}$ in $0.5 \sec$. What is the change of flux linkage with the other coil?

Which is not the unit of Inductance?

Two coils are fixed in space at some distance from each other such that there is a flux linkage between them. When coil $1$ has no current and the current in the coil $2$ increases at the rate $15.0$ $\mathrm{A} {\mathrm{s}}^{-1}$, the emf in the coil $1$ is $25.0 \mathrm{mV}$. When coil $2$ has a current of $3.6 \mathrm{A}$, the flux linkage in coil $2$ (in $\mathrm{mWb}$) is