.Among the following figure indicate and justify the variation of magnetic field with respect to distance.2.Consider two coils are placed in three configurations as shown in the figureJustify the configuration in which mutual inductance to be maximum

1. To indicate and justify the variation of magnetic field with respect to distance, we need to consider the relationship between the magnetic field strength and the distance from the source.

a) If the magnetic field strength decreases as the distance increases, we can say that the variation is inversely proportional. This is often the case with magnetic fields generated by a point source, such as a single wire carrying current.

b) If the magnetic field strength remains constant regardless of the distance, we can say that the variation is constant. This is often the case with magnetic fields generated by a uniform current-carrying wire.

c) If the magnetic field strength increases as the distance increases, we can say that the variation is directly proportional. This is less common but can occur in certain situations, such as when multiple current-carrying wires are close together.

The specific variation of the magnetic field with respect to distance will depend on the specific configuration and arrangement of the magnetic sources.

2. To determine the configuration in which the mutual inductance is maximum between two coils, we need to consider the factors that affect mutual inductance.

Mutual inductance is a measure of the ability of one coil to induce a voltage in another coil when the current in the first coil changes. It depends on the physical properties and arrangement of the coils.

The configuration in which the mutual inductance is maximum is when the coils are tightly coupled, meaning they are close together and have a high degree of overlap. This allows for a stronger magnetic field generated by one coil to link with the other coil, resulting in a higher mutual inductance.

In the given figure, we need to analyze the three configurations and determine which one has the highest degree of coupling between the coils. This can be done by examining the physical arrangement of the coils and the proximity between them.

Once we identify the configuration with the highest degree of coupling, we can conclude that it will have the maximum mutual inductance between the coils.