Two concentric circular coils having radii r_ | vedclass

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

Question

(D) The magnetic field at the center of a circular loop of radius $r_1$ carrying current $I$ is given by $B = \frac{\mu_0 I}{2 r_1}$.Since $r_2 \ll r_

Vedclass · Accepted Answer

$\frac{\mu_0 \pi r_2^2}{2 r_1}$

Vedclass · Answer

(D) The magnetic field at the center of a circular loop of radius $r_1$ carrying current $I$ is given by $B = \frac{\mu_0 I}{2 r_1}$.Since $r_2 \ll r_1$,the magnetic field $B$ is approximately uniform over the area of the smaller loop.The magnetic flux $\phi$ linked with the smaller loop of radius $r_2$ is $\phi = B 	imes A_2$,where $A_2 = \pi r_2^2$ is the area of the smaller loop.Substituting the values,we get $\phi = \left( \frac{\mu_0 I}{2 r_1} ight) 	imes (\pi r_2^2) = \frac{\mu_0 \pi r_2^2}{2 r_1} I$.The mutual inductance $M$ is defined by the relation $\phi = M I$.Therefore,$M = \frac{\phi}{I} = \frac{\mu_0 \pi r_2^2}{2 r_1}$.

Two concentric circular coils having radii $r_1$ and $r_2$ $(r_2 \ll r_1)$ are placed co-axially with centres coinciding. The mutual inductance of the arrangement is ($\mu_0 =$ permeability of free space) (Both coils have single turn).

Similar Questions

Two conducting circular loops $A$ and $B$ are placed in the same plane with their centres coinciding as shown in the figure. If $b >> a$,the mutual inductance between them is:

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

Two coils $P$ and $Q$ are separated by some distance. When a current of $3\, A$ flows through coil $P$,a magnetic flux of $10^{-3}\, Wb$ passes through $Q$. No current is passed through $Q$. When no current passes through $P$ and a current of $2\, A$ passes through $Q$,the flux through $P$ is:

$A$ solenoid has $2000$ turns wound over a length of $0.30 \ m$. The area of its cross-section is $1.2 \times 10^{-3} \ m^2$. Around its central section,a coil of $300$ turns is wound. If an initial current of $2 \ A$ in the solenoid is reversed in $0.25 \ s$,the emf induced in the coil is equal to

Vedclass Test Series

Exam Paper Generator

Online Exam Module