Mutual Induction

Two circular coils can be arranged in any of the three situation shown in Fig. $9.76$. Their mutual inductance will be

Relate the mutual inductance of the system is proportional to the length of the concentric square. Where a small square loop of wire of side $l$ is placed inside a large square loop of wire of side $L(L>>l)$ The loops are co-planar and their centres coincide.

Write three factors on which mutual inductance between a pair of coils depends.

What do you understand by mutual induction? Self-inductance is $1 \mathrm{H}$. What is meant by this?

Find the emf induced (in volts) in the secondary coil, If the co-efficient of mutual induction of the primary and secondary coils of an induction coil is $5\mathrm{H}$ and current of $10 \mathrm{A}$is cut-off in $5\times {10}^{-4} \mathrm{s}$,

The mutual inductance of the pair of coils depends upon when two coils are placed close to each other.

A coaxial cable of length L consists of two hollow thin walled coaxial conducting cylinders of radii a and $\mathrm{b} (\mathrm{b}>\mathrm{a})$. The inner cylinder carries a steady current I, the outer one providing the return path. The energy is stored in the magnetic field between the cylinders of the cable.

Derive an expression for the mutual inductance of two coaxial solenoids of the same length wound one over the other. Define mutual inductance and give its S.I. unit.

A coil $B$ is connected to a low voltage bulb $L$ and placed near another coil $A$ as shown in figure. Explain the following observations: Bulb gets dimmer if the coil is moved upwards.

A coil is connected to a low voltage bulb $L$ and placed near another coil $A$  as shown in Figure. Explain the following observations: Bulb will light.

What is the unit of mutual inductance?