Home
Class 12
PHYSICS
A hypthetical magnetic field existing in...

A hypthetical magnetic field existing in a region is given by `vecB= B_0 vece_r,` where `vec_r` denotes the uit vector along the redial direction. A circular loop of radus a, carrying a current I, is placed with its plane parallel to the x-y plane and the centre at (0,0, d) .Find the magnitude of the magnetic force acting on the loop.

Text Solution

Verified by Experts

Magnetic force due to `B cos theta` will be cancelled out. There will be no force due to magnetic field due to `B cos theta` in downward direction.

Required magnetic force
`F=int dF=int_0^(2pia) idlB sin theta=(2piia^2B)/(sqrt(a^2+d^2))`.
Promotional Banner

Topper's Solved these Questions

  • MAGNETIC FIELD AND MAGNETIC FORCES

    CENGAGE PHYSICS ENGLISH|Exercise Solved Example|25 Videos

  • MAGNETIC FIELD AND MAGNETIC FORCES

    CENGAGE PHYSICS ENGLISH|Exercise Exercise 1.1|22 Videos

  • INDUCTANCE

    CENGAGE PHYSICS ENGLISH|Exercise Concept Based|8 Videos

  • MISCELLANEOUS VOLUME 3

    CENGAGE PHYSICS ENGLISH|Exercise True and False|3 Videos

Similar Questions

Explore conceptually related problems

The magnetic field existing in a region is given by vecB =B_0(1+(x)/(l))vec k. A square loop of edge l and carrying a current I, is placed with its edges parallel to the x-y axes. Find the magnitude of the net magnetic force experienced by the loop.

The magnetic field existing in a region is gicen by vecB =B_0(1+(x)/(l))vec k. A square loop of edge l and carrying a current I, is placed with its edges parallel to the x-y axes. Find the magnitude of the net magnetic force experienced by the loop.

A circular loop of radius R , carrying I , lies in x- y plane with its origin . The total magnetic flux through x-y plane is

A circular loop of radius R , carrying I , lies in x- y plane with its origin . The total magnetic flux through x-y plane is

A conducting circular loop of radius r carries a constant current i. It is placed in a uniform magnetic field B such that B is perpendicular to the plane of loop. What is the magnetic force acting on the loop?

A semicircular wire of radius 5.0 cm carries a current of 5.0 A. A magnetic field B of magnitude 0.50 T exists along the perpendicular to the plane of the wire. Find the magnitude of the magnetic force acting on the wire.

A circular loop of area 1cm^2 , carrying a current of 10 A , is placed in a magnetic field of 0.1 T perpendicular to the plane of the loop. The torque on the loop due to the magnetic field is

A wire of length L carries a current i along the x-axis. A magnetic field B=B_0(hati+hatj+hatk) exists in the space. Find the magnitude of the magnetic force acting on the wire.

A conducting circular loop of radiius r carries a constant current i . It is placed in a uniform magnetic field vec(B)_(0) such that vec(B)_(0) is perpendicular to the plane of the loop . The magnetic force acting on the loop is

A wire of length l carries a current I along the x-asis. A magnetic field exists which is given as vecB=B_0(veci+vecj+veck) T. find the magnitude of the magnetic force acting on the wire.