Question

According to phenomenon of mutual inductance

• A. The mutual inductance does not depend on geometry of two coils involved
• B. The mutual inductance depends on the intrinsic magnetic property, like relative permeability of the material
• C. The mutual inductance is independent of the magnetic property of the material
• D. Ratio of magnetic flux produced by the coil $1$ at the place of the coil $2$ and the current in the coil $2$ will be different from that of the ratio defined by interchanging the coils.

Answer 1

Answer: (B), (D)

Ratio of magnetic flux produced by the coil $1$ at the place of the coil $2$ and the current in the coil $2$ will be different from that of the ratio defined by interchanging the coils.

The explanation for the correct option

"When two coils are brought in proximity with each other the magnetic field in one of the coils tends to link with the other. This further leads to the generation of voltage in the second coil. This property of a coil which affects or changes the current and voltage in a secondary coil is called mutual inductance."

Magnetic induction depends upon the magnetic permeability ${\mu }_r$ of the medium between the coils or the nature of the material on which two coils are wound.

Hence, ‘option B' is correct.

Also,$\frac{{\varphi }_{12}}{I_2}\ne \frac{{\varphi }_{21}}{I_1}$ is a true statement.

where, ${\varphi }_{12}$ is the magnetic flux of the coil $1$ at the place of the coil $2$

${\varphi }_{21}$ is the magnetic flux of the coil $2$ at the place of the coil $1$

and $I_1$, $I_2$ is current in coil $1$ and $2$ respectively.

Hence, ‘option D’ is correct.

The explanation for the incorrect option:

Option A: The mutual inductance depends on the geometry of the two coils involved.

Option C: The mutual inductance is dependent on the magnetic property of the material.