A coil of radius 'r' is placed on another coi | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(B) The magnetic field at the center of a large coil of radius $R$ carrying current $I$ is given by $B = \frac{\mu_0 I}{2 R}$.Since $R \gg r$,the magn

Vedclass · Accepted Answer

$\frac{\mu_0 \pi r^2}{2 R}$

Vedclass · Answer

(B) The magnetic field at the center of a large coil of radius $R$ carrying current $I$ is given by $B = \frac{\mu_0 I}{2 R}$.Since $R \gg r$,the magnetic field $B$ is approximately uniform over the area of the smaller coil of radius $r$.The magnetic flux $\phi$ passing through the smaller coil is $\phi = B 	imes A$,where $A = \pi r^2$ is the area of the smaller coil.Substituting the values,we get $\phi = \left( \frac{\mu_0 I}{2 R} ight) 	imes \pi r^2$.The mutual inductance $M$ is defined as $M = \frac{\phi}{I}$.Therefore,$M = \frac{\frac{\mu_0 I}{2 R} 	imes \pi r^2}{I} = \frac{\mu_0 \pi r^2}{2 R}$.

$A$ coil of radius '$r$' is placed on another coil (whose radius is '$R$' and current flowing through it is changing) so that their centres coincide $(R \gg r)$. If both the coils are coplanar,then the mutual inductance between them is $(\mu_0 = \text{permeability of free space})$

Similar Questions

Two coils of wire $A$ and $B$ are placed mutually perpendicular as shown in the figure. When the current is changed in any one coil:

The dimension of mutual inductance is ............

Two coils $A$ and $B$ are wound on the same iron core as shown in the figure. The number of turns in the coils $A$ and $B$ are $N_A$ and $N_B$ respectively. Identify the correct statement.

Two coils of self-inductances $2\, mH$ and $8\, mH$ are placed so close together that the effective flux in one coil is completely linked with the other. The mutual inductance between these coils is......$mH$.

Two coils have a mutual inductance of $0.005 \ H$. The current changes in the first coil according to the equation $I = I_0 \sin \omega t$,where $I_0 = 10 \ A$ and $\omega = 100 \pi \ rad/s$. The maximum value of the induced emf in the second coil is:

Vedclass Test Series

Exam Paper Generator

Online Exam Module