What is the mutual inductance of a two-loop s | vedclass

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

Question

(d)Magnetic field at the location of coil $(2)$ produced due to coil $(1)$

${B_1} = \frac{{{\mu _o}}}{{4\pi }}.\frac{{2M}}{{{l^3}}}$
Flux linked w

Vedclass · Accepted Answer

$\frac{{{\mu _0}\pi {a^4}}}{{2{l^3}}}$

Vedclass · Answer

(d)Magnetic field at the location of coil $(2)$ produced due to coil $(1)$

${B_1} = \frac{{{\mu _o}}}{{4\pi }}.\frac{{2M}}{{{l^3}}}$
Flux linked with coil $(2)$
${\phi _2} = {B_1}{A_2} = \frac{{{\mu _o}}}{{4\pi }}\frac{{2i\;(\pi {a^2})}}{{{l^3}}} 	imes (\pi {a^2})$
Also ${\phi _2} = Mi$ $ \Rightarrow M = \frac{{{\mu _o}\pi {a^4}}}{{2{l^3}}}$

What is the mutual inductance of a two-loop system as shown with centre separation l

Similar Questions

A small square loop of wire of side $l$ is placed inside a large square loop of wire of side $(L > l)$. The loop are coplanar and their centre coincide. The mutual inductance of the system is proportional to

Give two definitions of mutual inductance, give its units and write factors on which its value depends.

Two conducting circular loops $A $and $B$ are placed in the same plane with their centres coinciding as shown in figure. The mutual inductance between them $1$s:

Two coaxial solenoids are made by winding thin insulated wire over a pipe of cross-sectional area $A = 10\ cm^2$ and length$= 20\ cm$. If one of the solenoid has $300$ turns and the other $400$ turns, their mutual inductance is

$\mu_{0}=4 \pi \times 10^{-7} \;TmA ^{-1}$