Self and Mutual Induction

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 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 _____ .

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?

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?

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

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$-2$.

What is the significance of flux linkage?

Consider two identical circular solenoids, each of length $L$, radius $\rho \ll L$ and total number of turns $N$. The solenoids are on the same axis and distance $d\gg L$ apart. The ratio of mutual inductance to self inductance for this system is

The SI unit of self-induction is:

A square loop of side $a$ is placed near an infinite wire as shown in figure. The mutual inductance of the system is $\frac{{\mu }_{0}a\ln \left(2\right)}{n\pi }$. Find $n$.