A metallic square loop ABCD is moving in its | vedclass

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

Question

(D) When a conductor moves in a magnetic field,a motional electromotive force $(EMF)$ is induced across its ends,which is given by $\varepsilon = \int

Vedclass · Accepted Answer

in both $AD$ and $BC$

Vedclass · Answer

(D) When a conductor moves in a magnetic field,a motional electromotive force $(EMF)$ is induced across its ends,which is given by $\varepsilon = \int (\vec{v} 	imes \vec{B}) \cdot d\vec{l}$.This induced $EMF$ corresponds to an induced electric field $\vec{E} = \vec{v} 	imes \vec{B}$.In this problem,the square loop $ABCD$ moves with velocity $\vec{v}$ in a uniform magnetic field $\vec{B}$ perpendicular to the plane of the loop.For any segment of the loop,if the velocity $\vec{v}$ is perpendicular to the magnetic field $\vec{B}$,an electric field $\vec{E} = \vec{v} 	imes \vec{B}$ is induced along the conductor.Since the segments $AD$ and $BC$ are perpendicular to the velocity $\vec{v}$ and the magnetic field $\vec{B}$ is uniform and perpendicular to the plane,the cross product $\vec{v} 	imes \vec{B}$ is non-zero for both segments $AD$ and $BC$.Therefore,an electric field is induced in both $AD$ and $BC$.

$A$ metallic square loop $ABCD$ is moving in its own plane with velocity $v$ in a uniform magnetic field perpendicular to its plane as shown in the figure. Electric field is induced:

Similar Questions

Human urine is usually acidic because:

The compound which does not show paramagnetism is :-

The Phthalein test is a characteristic test for which of the following?

Which of the following is not a Pteridophyte?

The angle between the lines whose direction cosines satisfy the equations $l+m+n=0$ and $l^2+m^2-n^2=0$ is

Vedclass Test Series

Exam Paper Generator

Online Exam Module