Advertisements
Advertisements
प्रश्न
The magnetic field at a point, 10 cm away from a magnetic dipole, is found to be `2.0 xx 10^-4 "T"` . Find the magnetic moment of the dipole if the point is (a) in end-on position of the dipole and (b) in broadside-on position of the dipole.
Advertisements
उत्तर
Given:
Magnetic field strength, B = `2 xx 10^-4 "T"`
Distance of the point from the dipole, d = 10 cm = 0.1 m
(a) If the point is at the end-on position:
The magnetic field (B) on the axial point of the dipole is given by B = `u_0/(4pi) (2M)/d^3`
Here , M is the magnetic moment of the dipole that we need to find out .
`therefore` `2 xx 10^-4 = (10^-7 xx 2M)/(10^-1)^3`
⇒ `M = (2 xx 10^-4 xx 10^-3)/(10^-7 xx 2)`
⇒ `M = 1 A - "m"^2`
(b) If the point is at broadside-on position (equatorial position):
The magnetic field (B) is given by
B = `u_0/(4pi) M/d^3`
⇒ `2 xx 10^-4 = (10^-7 xx M)/(10^-1)^3`
⇒ `M = 2A - "m"^2`
APPEARS IN
संबंधित प्रश्न
Write two characteristics of a material used for making permanent magnets ?
Compare the direction of the magnetic field inside a solenoid with that of the field there if the solenoid is replaced by its equivalent combination of north pole and south pole.
Consider the situation of the previous problem. The directions of the magnetic field due to the dipole are opposite at
(a) P1 and P2
(b) Q1 and Q2
(c) P1 and Q1
(d) P2 and Q2
To measure the magnetic moment of a bar magnet, one may use
(a) a tangent galvanometer
(b) a deflection galvanometer if the earth's horizontal field is known
(c) an oscillation magnetometer if the earth's horizontal field is known
(d) both deflection and oscillation magnetometer if the earth's horizontal field is not known
A uniform magnetic field of `0.20 xx 10^-3 "T"` exists in the space. Find the change in the magnetic scalar potential as one moves through 50 cm along the field.
A bar magnet has a length of 8 cm. The magnetic field at a point at a distance 3 cm from the centre in the broadside-on position is found to be `4 xx 10^-6 "T"`.Find the pole strength of the magnet.
Do permeability and relative permeability have the same dimensions?
The desirable properties for making permanent magnets are _________________ .
The coercive force for a certain permanent magnet is 4.0 × 104 A m−1. This magnet is placed inside a long solenoid of 40 turns/cm and a current is passed in the solenoid to demagnetise it completely. Find the current.
A magnetic needle is free to rotate in a vertical plane which makes an angle of 60° with the magnetic meridian. If the needle stays in a direction making an angle of `tan^-1(2sqrt(3))` with the horizontal, what would be the dip at that place?
The needle of a dip circle shows an apparent dip of 45° in a particular position and 53° when the circle is rotated through 90°. Find the true dip.
A moving-coil galvanometer has a 50-turn coil of size 2 cm × 2 cm. It is suspended between the magnetic poles producing a magnetic field of 0.5 T. Find the torque on the coil due to the magnetic field when a current of 20 mA passes through it.
The magnetometer of the previous problem is used with the same magnet in Tan-B position. Where should the magnet be placed to produce a 37° deflection of the needle?
A thin diamagnetic rod is placed vertically between the poles of an electromagnet. When the current in the electromagnet is switched on, then the diamagnetic rod is pushed up, out of the horizontal magnetic field. Hence the rod gains gravitational potential energy. The work required to do this comes from ______.
In a permanent magnet at room temperature ______.
The relation b/w magnetic susceptibility xm and relativ~ permeability µr is
A steel wire of length 1 has a magnetic moment m it is then bent into a semicircular arc. The new magnetic moment is
