An iron rod of the area of cross-section 0.1m2 is subjected to a magnetizing field of 1000 A/m. Calculate the magnetic permeability of the ironmagnet - Physics

Advertisements
Advertisements
Sum

An iron rod of the area of cross-section 0.1m2 is subjected to a magnetizing field of 1000 A/m. Calculate the magnetic permeability of the iron rod. [Magnetic susceptibility of iron = 59.9, magnetic permeability of vacuum = 4π x 10-7 S. I. unit]  

An iron rod of the area of cross-section 0.1 m2 is subjected to a magnetizing field of 1000 A/m. Calculate the magnetic permeability of the iron rod.

(χ for iron = 599 , µ0 = 4π × 10-7 SI unit)   

Advertisements

Solution 1

Given:- H= 1000 A/m, χ = 59.9, μ0 = 4π x 10-7 S.I. unit

To find:- Permeability (μ)

Formula:- μ = μ0 (1 + χ)

Calculation:- From formula,

μ = 4π x 10-7 (1 + 59.9)

   = 4 x 3.142 x 10-7 x 60.9

   = antilog [log(4) + log(3.142) + log(60.9)] x 10-7

   = antilog [0.6021 + 0.4972 + 1.7846] x 10-7

   = antilog [2.8839] x 10-7

   = 765.4 x 10-7

∴ μ = 7.654 x 10-5 Wb/A-m

The magnectic permeability of the iron rod is 7.654 x 10-5 Wb/A-m.

Solution 2

Given:

H = 1000 A/m, χ = 599,
μ0 = 4π × 10-7 S.I. unit 

To find: Permeability (μ)

Formula: μ = μ0(1 + χ) 

Calculation:

From formula,

μ = 4π × 10-7 (1 + 599)

= 4 × 3.142 × 10-7 × 600 

∴ μ = 7.54 × 10-4 Hm-1  

The magnetic permeability of the iron rod is 7.54 × 10-4 Hm-1

  Is there an error in this question or solution?
Chapter 11: Magnetic materials - Short Answer I

RELATED QUESTIONS

Distinguish between ‘paramagnetic’ and ‘ferromagnetic’ substances.


Which of the following substances is ductile?


Give any ‘two’ points of differences between diamagnetic and ferromagnetic substances.


The susceptibility of magnesium at 200 K is 1.8 x 10-5. At what temperature will the susceptibility decrease by 6 x 10-6?


In what way is the behaviour of a diamagnetic material different from that of a paramagnetic, when kept in an external magnetic field?


Distinguish between diamagnetic and paramagnetic substances


A meter gauge train is heading north with speed 54 km/hr in earth's magnetic field 3 x 10-4T. The e.m.f. induced across the axle joining the wheels is ..........

(a) 0.45 mV

(b) 4.5 mV

(c) 45 mV

(d) 450 m V


The magnetic susceptibility of annealed iron at saturation is 4224. Find the permeability of
annealed iron at saturation. (μ0 = 4Π × 10−7 SI unit)


Explain Curie’s law for a paramagnetic substance.


A tangent galvanometer shows a deflection of 45° when 10 mA of current is passed through it. If the horizontal component of the earth's magnetic field is `B_H = 3.6 xx 10^-5  "T"` and radius of the coil is 10 cm, find the number of turns in the coil.


The magnetic susceptibility of platinum is 0.0001. It's relative permeability is: 


Two substances A and B have their relative permeability slightly greater and slightly less than 1 respectively. What do you conclude about A and B as far as their magnetic materials are concerned?


Answer the following question.
Write three points of differences between para-, dia- and ferromagnetic materials, giving one example for each. 


Identify the following magnetic materials :

(i) A material having susceptibility (χm) = −0⋅00015.
(ii) A material having susceptibility (χm) = 10−5

Which of the following statements is correct for diamagnetic materials?


Choose the correct option:

A rectangular magnet suspended freely has a period of oscillation equal to T. Now it is broken into two equal halves (each having half of the original length) and one piece is made to oscillate freely. Its period of oscillation is T′, the ratio of T′/T is ______.


Choose the correct option:

A magnetising field of 360 Am−1 produces a magnetic flux density (B) = 0.6T in a ferromagnetic material. What is its permeability in Tm A−1?


Answer in brief.

Discuss the Curie law for paramagnetic material.


A paramagnetic gas has 2.0 × 1026 atoms/m with atomic magnetic dipole moment of 1.5 × 10−23 A m2 each. The gas is at 27°C.

  1. Find the maximum magnetization intensity of this sample.
  2. If the gas in this problem is kept in a uniform magnetic field of 3 T, is it possible to achieve saturation magnetization? Why?

The susceptibility of a paramagnetic material is χ at 27° C. At what temperature its susceptibility be χ/3?


A rod of magnetic material of cross-section 0.25 cm2 is placed in a magnetizing field of intensity 4000 A/m-1. The magnetic flux passing through the rod is 25 × 10-6 Wb. Find out

(a) relative permeability

(b) magnetic susceptibility and 

(c) magnetisation of the rod.


For a paramagnetic substance, the magnetic susceptibility is ______.


The susceptibility of a magnetic material is positive and small. The material is ______.


The magnetic susceptibility of a paramagnetic material at - 73 °C is 0.0075. Its value at -173 °C will be ______.


If a magnetic field is applied to a liquid in one arm of a narrow U-tube, the liquid level in that arm is lowered. The liquid in U-tube arm is ______.


Relative permittivity and permeability of a material are  `epsilon_"r"` and `µ_"r"` respectively. Which of the following values of these quantities are allowed for a diamagnetic material?


There are three needles 'N1', 'N2' and 'N3' made of a ferromagnetic, a paramagnetic and a diamagnetic substance respectively. When a magnet is brought close to them, then it will ____________.


The magnetic property of magnetic substance is associated with ____________.


A small quantity of paramagnetic liquid is taken in a watch - glass and kept on two dissimilar magnetic poles. The liquid ____________.


A short bar magnet has a magnetic moment of 0.48 J T−1. Give the direction and magnitude of the magnetic field produced by the magnet at a distance of 10 cm from the centre of the magnet on (a) the axis, (b) the equatorial lines (normal bisector) of the magnet.


A short bar magnet placed in a horizontal plane has its axis aligned along the magnetic north-south direction. Null points are found on the axis of the magnet at 14 cm from the centre of the magnet. The earth’s magnetic field at the place is 0.36 G and the angle of dip is zero. What is the total magnetic field on the normal bisector of the magnet at the same distance as the null point (i.e., 14 cm) from the centre of the magnet? (At null points, field due to a magnet is equal and opposite to the horizontal component of earth’s magnetic field.)


Which graph shows the variation of magnetic susceptibility (`chi`) with magnetizing field (H) for a paramagnetic substance?


Magnetic field lines are always nearly normal to the surface of a ferromagnet at every point. (This fact is analogous to the static electric field lines being normal to the surface of a conductor at every point.) Why?


What kind of ferromagnetic material is used for coating magnetic tapes in a cassette player, or for building ‘memory stores’ in a modern computer?


A Rowland ring of mean radius 15 cm has 3500 turns of wire wound on a ferromagnetic core of relative permeability 800. What is the magnetic field B in the core for a magnetising current of 1.2 A?


When the temperature of a magnetic material decreases, the magnetization ______.

Metals getting magnetised by orientation of atomic magnetic moments in external magnetic field are called ______.


If a diamagnetic substance is brought near north or south pole of a bar magnet, it is ______.

The magnetic susceptibility for diamagnetic materials is ______.


When a ferromagnetic material is created above its curie temperature


Earth's magnetic field analyses has a horizontal component except at:-


A hydrogen atom is paramagnetic. A hydrogen molecule is


For a diamagnetic material


Most of the substance show which of the magnetic property:-


If a charged particle at rest experience no electromagnetic force


The universal property of all substances is ______.


According to the Atomic theory, on heating a magnet, the thermal energy of the elementary magnet ______


An ammeter of resistance R gives a full-scale deflection when a current of 2 A passes through it. If it is measured with a maximum current of 10 A, the required shunt is ______.


Which of the following has a permeability less than that of free space?


What is magnetic hysterisis?


Explain ferromagnetism on the basis of the domain theory.


Explain the origin of paramagnetism on the basis of atomic structure.


State the dimensions of magnetization.


Explain the Domain theory in brief.


Share
Notifications



      Forgot password?
Use app×