Two coils of wire A and B are placed mutually | vedclass

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

Question

(C) The magnetic field lines produced by a circular coil are perpendicular to the plane of the coil at its center. Since the two coils $A$ and $B$ are

Vedclass · Accepted Answer

no current will be induced in another coil.

Vedclass · Answer

(C) The magnetic field lines produced by a circular coil are perpendicular to the plane of the coil at its center. Since the two coils $A$ and $B$ are placed mutually perpendicular,the magnetic field lines produced by coil $A$ will lie in the plane of coil $B$,and vice-versa. The magnetic flux $\Phi$ is given by $\Phi = \vec{B} \cdot \vec{A} = BA \cos 	heta$,where $	heta$ is the angle between the magnetic field vector $\vec{B}$ and the area vector $\vec{A}$ (which is perpendicular to the plane of the coil). Since the magnetic field lines are parallel to the plane of the other coil,they are perpendicular to the area vector of that coil. Thus,$	heta = 90^\circ$ and $\cos 90^\circ = 0$. Therefore,the magnetic flux linked with the other coil is zero. According to Faraday's law of electromagnetic induction,the induced $EMF$ is $\varepsilon = -d\Phi/dt$. Since $\Phi = 0$ at all times,the induced $EMF$ and consequently the induced current will be zero.

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:

Similar Questions

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

Two conducting circular loops of radii $R_{1}$ and $R_{2}$ are placed in the same plane with their centres coinciding. If $R_{1} >> R_{2}$,the mutual inductance $M$ between them will be directly proportional to:

Explain mutual induction and derive the equation for mutual $emf$.

Two concentric circular coils, one of small radius $r_1$ and the other of large radius $r_2$, such that $r_1 \ll r_2$, are placed co-axially with their centres coinciding. The mutual inductance $M$ of the arrangement is proportional to . . . . . . .

Vedclass Test Series

Exam Paper Generator

Online Exam Module