Explanation:

To understand the concept of mutual inductance, we need to first understand what inductance is.

Inductance:
Inductance is a property of a coil that determines the amount of voltage induced in it when the current flowing through it changes. It is represented by the symbol L and is measured in Henry (H).

Self Inductance:
Self inductance is the measure of the inductance of a coil when the current flowing through it changes. It is denoted by L_self.

In this case, we are given that the self inductance of each coil is 0.1H.

Mutual Inductance:
Mutual inductance is a measure of the amount of inductive coupling between two coils. It is denoted by M.

When the two identical coils are wound over each other, the magnetic field produced by one coil will pass through the other coil, inducing a voltage in it. This voltage is directly proportional to the rate of change of current in the first coil.

The mutual inductance between two identical coils wound over each other is equal to the self inductance of each coil.

Explanation of the Answer:
In this case, since the self inductance of each coil is 0.1H, the mutual inductance between the two coils will also be 0.1H.

This means that when the current flowing through one coil changes at a rate of 1 ampere per second, it will induce a voltage of 0.1 volts in the other coil.

The answer of 0.1H for the mutual inductance is correct because the mutual inductance is equal to the self inductance of each coil when they are wound over each other.

Therefore, the mutual inductance between the two identical coils wound over each other is 0.1H.