Advertisements
Advertisements
प्रश्न
When a plate of magnetic material of size 10 cm × 0.5 cm × 0.2 cm (length, breath, and thickness respectively) is located in a magnetizing field of 0.5 × 104 A/m-1, then a magnetic moment of 0.5 Am2 is induced in it. Find the magnetic induction in the plate.
Advertisements
उत्तर
Data: μ0 = 4π × 10-7; l = 10 cm, b = 0.5 cm, h = 0.2 cm, H = 0.5 × 104 Am-1, m = 0.5 Am2
The volume of the plate,
V = l × b × h
V = 10 × 0.5 × 0.2
V = 1 cm3 ⇒ 1 × 10-6 m3
B = `mu_0 ("H" + "M")` ...(i)
`therefore "M" = "m"/"V" = 0.5/(1 xx 10^-6)`
∴ M = 0.5 × 106 A/m
∴ B = `mu_0 (0.5 xx 10^4 + 0.5 xx 10^6)` ...[From (1)]
∴ B = `mu_0 (0.5 xx 10^4 + 50 xx 10^4)`
∴ B = `mu_0 (0.5 + 50) xx 10^4`
∴ B = `4pi xx 10^-7 (50.5) xx 10^4`
∴ B = `4 xx 3.14 xx 50.5 xx 10^-3` ...[π = 3.14]
∴ B = 0.634 Wb/m2
APPEARS IN
संबंधित प्रश्न
What is Magnetization?
The magnetic moment of a magnet of dimensions 5 cm × 2.5 cm × 1.25 cm is 3 Am2. Calculate the intensity of magnetization.
State formula and S.I. unit of Magnetization.
Find the magnetization of a bar magnet of length 10 cm and cross-sectional area 4 cm2, if the magnetic moment is 2 Am2.
What is Magnetic intensity?
Which of the following pairs has quantities of the same dimensions?
(a) Magnetic field B and magnetising field intensity H
(b) Magnetic field B and intensity of magnetisation I
(c) Magnetising field intensity H and intensity of magnetisation I
(d) Longitudinal strain and magnetic susceptibility
The magnetic field inside a long solenoid of 50 turns cm−1 is increased from 2.5 × 10−3 T to 2.5 T when an iron core of cross-sectional area 4 cm2 is inserted into it. Find (a) the current in the solenoid (b) the magnetisation I of the core and (c) the pole strength developed in the core.
Answer the following question.
Define the term "Intensity" in the photon picture of electromagnetic radiation.
A magnetic material of susceptibility 3 × 10−4, and magnetic intensity is 4 × 10−4 Am−1. Then The magnetization in the units of Am−1 is ______.
The moment of a magnet (15 cm × 2 cm × 1 cm) is 1.2 A-m2. What is its intensity of magnetization?
Explain the magnetization of a material.
Derive the relation between magnetic field intensity(H) and magnetization(M) for a magnetic material placed in a magnetic field.
A steel wire of length I has a magnetic moment M. It is then bent into a semicircular arc. The new magnetic moment is ______.
For an isotropic medium B, µ, H and M, are related as (where B, µ0, H and Mz have their usual meaning in the context of magnetic material) ____________.
The magnetization of bar magnet of length 5 cm, cross-sectional area 2 cm2 and net magnetic moment 1 Am2 is ______.
A solenoid has core of a material with relative permeability 500 and its windings carry a current of 2 A. The number of turns of the solenoid is 500 per metre. The magnetization of the material is ______.
A bar magnet has coercivity 6 x 103 Am-1. It is desired to demagnetise it by inserting it inside a solenoid 10 cm long and having 40 turns. The current that should be sent through the solenoid is ____________.
An iron rod is placed parallel to magnetic field of intensity 4000 A/m. The magnetic flux through the rod is 8 x 10-4 Wb and its cross-sectional area is 4 cm2 . The magnetic permeability of the rod in Wb/A - m is ____________.
A magnet of magnetic moment 6 Am2 weighs 65 g. The density of the material of the magnet is 6500 kg/m3. What is the magnetization?
Two parallel wires of equal lengths are separated by a distance of 3m from each other. The currents flowing through first and second wire is 3A and 4.5A respectively in opposite directions. The resultant magnetic field at the mid-point of both wire is (µ0 = permeability of free space).
A cylindrical magnetic rod has length 5 cm and diameter 1 cm. It has uniform magnetization `5.3 xx 10^3 "A"/"m"^3`. Its net magnetic dipole moment is nearly `(pi = 22/7)`.
Assertion: Susceptibility is defined as the ratio of intensity of magnetisation I to magnetic intensity H.
Reason: Greater the value of susceptibility, smaller the value of intensity of magnetisation I.
What is the magnetization of a bar magnet having length 5 cm and area of cross section 2 cm2? (M = 1 Am2)
If Mz = magnetization of a paramagnetic sample, B external magnetic field, T = absolute temperature, C = curie constant then according to Curie's law in magnetism, the correct relation is ______.
A bar magnet having length 5 cm and area of cross-section 4cm2 has magnetic moment 2Am2. If magnetic susceptibility is 5 x 10-6, the magnetic intensity will be ____________.
A particle of charge 'q' and mass 'm' moves in a circular orbit of radius 'r' with angular speed `omega`. The ratio of the magnitude of its magnetic moment to that of its angular momentum is ____________.
A bar magnet has length 3 cm, cross-sectional area 4 cm2, and magnetic moment 6 Am2. The intensity of magnetisation of bar magnet is ______.
Two parallel conducting wires of equal lengths placed distance 'd' apart carry currents 'I1' and 'I2' respectively in opposite directions. The resultant magnetic field at the midpoint of both the wires is ______.
(µ0 = permeability of free space.)
The magnetic moment produced in a substance of mass 5 gram is 6 x 10-7 Am2 If its density is 5 g/cm3, then intensity of magnetization in `"A"/"m"` will be ____________.
Magnetic intensity is given by ______.
Magnetic lines of force due to a bar magnet do not intersect because ______.
Magnetic permeability is maximum for ______
What are the dimensions of χ, the magnetic susceptibility? Consider an H-atom. Guess an expression for χ, upto a constant by constructing a quantity of dimensions of χ, out of parameters of the atom: e, m, v, R and µ0. Here, m is the electronic mass, v is electronic velocity, R is Bohr radius. Estimate the number so obtained and compare with the value of |χ| ~ 10–5 for many solid materials.
What is magnetic susceptibility?
A bar magnet has length 3 cm, cross-sectional area 2 cm3 and magnetic moment 3 Am2. The intensity of magnetisation of bar magnet is ______.
The dimensions of magnetic intensity are ______.
The magnetization of a bar magnet of length 4 cm, cross-sectional area 1 cm2 and magnetic moment 2 SI units is ______.
For a medium of permeability µ, its magnetic susceptibility x is [µ 0 = permeability of vacuum]
An iron rod is subjected to a magnetising field of 1200 Am-1 .The susceptibility of iron is 599. Find the permeability and the magnetic field produced.
State SI unit of Magnetization.
