CameraIcon

SearchIcon

MyQuestionIcon

1

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Motional EMF

Two conductin...

Question

Two conducting rings $P$ and $Q$ of radii $r$ and $2 r$ slide uniformly in opposite directions with centre of mass velocities $2 v$ and $v$ respectively on a conducting surface $S$ . There is an uniform magnetic field of magnitude $B$ perpendicular to the plane of the rings. The potential difference between the highest points of the two rings is

A

Zero

No worries! We‘ve got your back. Try BYJU‘S free classes today!

B

4 B v r

No worries! We‘ve got your back. Try BYJU‘S free classes today!

C

8 B v r

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

D

16 B v r

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is C $8 B v r$
The surface is conducting, hence it is equipotential.

We know that motional e.m.f. is velocity $\times B \times l$
So,
$v_{A} - v_{P} = 2 v B \times 2 r = 4 v B r \dots \dots (i)$
$v_{Q} - v_{B} = v 4 r B$
$v_{P} = v_{Q}$
$v_{A} - v_{B} = 4 r v B + 4 r v B = 8 v B r$

Suggest Corrections

thumbs-up

0

Similar questions

Q. Two conducting rings

P

Q

r

2 r

rotate uniformly in opposite directions with centre of mass velocities

2 v

v

respectively on a conducting surface

S

. There is a uniform magnetic field of magnitude B perpendicular to the plane of the rings. The potential difference between the highest points of the two rings is

Q. Two conducting rings P and Q of radii and r and 2r rotate uniformly in opposite directions with centre of mass velocities 2 v and v respectively on a conducting surface S. There is a uniform magnetic field of magnitude B perpendicular to the plane of the rings. The potential difference between the highest points of the two rings is

Q. Two conducting rings

P

Q

r

3 r

move in opposite directions with velocities

2 v

v

respectively on a conducting surface

S

. There is a uniform magnetic field of magnitude

B

perpendicular to the plane of the rings. The potential difference between the highest points of the two rings is

Q. Two conducting rings of radii r and 2r move in opposite directions with velocities 2v and v respectively on a conducting surfaces S. There is a uniform magnetic field of magnitude B perpendicular to the plane of the rings. The potential difference between the highest points of the two rings is?

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Motional EMF

PHYSICS

Watch in App

explore_more_icon

Explore more

Standard XII Physics

Join BYJU'S Learning Program

CrossIcon