Home
Class 12
PHYSICS
Find the per cent increase in the magnet...

Find the per cent increase in the magnetic field `B` when the space within a current- carrying toroid is filled with aluminiu. The susceptibility of aluminium is `2.1 xx 10^(-5)`.

Text Solution

Verified by Experts

In absence of aluminium, the magnetic field is `B_0 = mu_0 H`.
As the space inside the toroid is filled with aluminium, the field becomes
B=muH = mu_o (1+chiH`.
The per cent increase is
`(B-B_0)/(B_0) xx 100 = (mu_0 chiH)/(mu_0 H) xx 100`
`= chi xx 100`
`= 2.1 xx 10^(-3)`.
Promotional Banner

Topper's Solved these Questions

  • MAGNETIC PROPERTIES OF MATTER

    HC VERMA|Exercise Worked out|6 Videos

  • MAGNETIC PROPERTIES OF MATTER

    HC VERMA|Exercise Short Answer|9 Videos

  • MAGNETIC FIELD DUE TO CURRENT

    HC VERMA|Exercise exercise|61 Videos

  • OPTICAL INSTRUMENTS

    HC VERMA|Exercise Exercises|23 Videos

Similar Questions

Explore conceptually related problems

An ideal solenoid having 40 turns cm^(-1) has an aluminium core and carries a current of 2.0 A . Calculate the magnetization I developed in the core and the magnetic field B at the centre. The susceptibility chi of aluminium = 2.3 xx 10^(-5) .

Find the magnetic field B at the centre of a rectangular loop of length l and width b, carrying a current i.

Find the magnetic field B due to a semicircular wire of radius 10.0 cm carrying a current of 5.0A at its centre of curvature .

A tightly-wound, long solenoid having 50 turns cm^(-1) , carris a current of 4.00 A . Find the magnetic intensity H and the magnetic field B at the centre of the solenoid. What will be the values of these quantities if an iron core is inserted in the solenoid and the magnetization I in the core is 4.00 xx 10^6 A m^(-1) ?

A toroid has a mean radius R equal to 20/pi cm, and a total of 400 turns of wire carrying a current of 2.0 A . An aluminium ring at temperature 280 K inside the toroid provides the core. (a) If the magnetization I is 4.8 xx 10^(-2) A m^(-1) , find the susceptibility of aluminium at 280 K . (b) If the temperature of the aluminium ring is raised to 320 K , what will be the magnetization?

Calculate the magnetic field at the center of a square loop which carries a current of 1.5 A , length of each loop is 50 cm .

A current carrying conductro of certain length, kept perpendicular to the magnetic field experiences a force F. What will be the force if the current is increased four times, length is halved and magnetic field is tripled?