Advertisements
Advertisements
Questions
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)
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.
APPEARS IN
RELATED QUESTIONS
Which of the following substances is ductile?
Give any ‘two’ points of differences between diamagnetic and ferromagnetic substances.
In what way is the behaviour of a diamagnetic material different from that of a paramagnetic, when kept in an external magnetic field?
Show diagrammatically the behaviour of magnetic field lines in the presence of (i) paramagnetic and (ii) diamagnetic substances. How does one explain this distinguishing feature?
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.
Which of the following substances are diamagnetic?
Bi, Al, Na, Cu, Ca and Ni
Which of the following substances are para-magnetic?
Bi, Al, Cu, Ca, Pb, Ni
The susceptibility of a magnetic material is − 2.6 × 10−5. Identify the type of magnetic material and state its two properties.
The relative magnetic permeability of a magnetic material is 800. Identify the nature of magnetic material and state its two properties.
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?
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?
The susceptibility of a paramagnetic material is χ at 27° C. At what temperature its susceptibility be χ/3?
A domain in a ferromagnetic substance is in the form of a cube of side 1 µm. If it contains 8 × 1010 atoms and each atomic dipole has a dipole moment of 9 × 10-24 Am2 then the magnetisation of the domain is ______.
The magnetic susceptibility of a paramagnetic material at - 73 °C is 0.0075. Its value at -173 °C will be ______.
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 ____________.
The product of magnetic susceptibility (`chi`) and absolute temperature (T) is constant for a ____________.
Above the curie temperature the susceptibility of ferromagnetic substance varies ____________.
Which graph shows the variation of magnetic susceptibility (`chi`) with magnetizing field (H) for a paramagnetic substance?
Why does a paramagnetic sample display greater magnetisation (for the same magnetising field) when cooled?
If a toroid uses bismuth for its core, will the field in the core be (slightly) greater or (slightly) less than when the core is empty?
Would the maximum possible magnetisation of a paramagnetic sample be of the same order of magnitude as the magnetisation of a ferromagnet?
What kind of ferromagnetic material is used for coating magnetic tapes in a cassette player, or for building ‘memory stores’ in a modern computer?
Assertion: A paramagnetic sample display greater magnetisation (for the same magnetic field) when cooled.
Reason: The magnetisation does not depend on temperature.
The magnetic susceptibility is negative for ______.
Which of the following property shows the property of ferromagnetic substances?
Two identical bar magnets are fixed with their centres at a distance d apart. A stationary charge Q is placed at P in between the gap of the two magnets at a distance D from the centre O as shown in the figure. The force on the charge Q is ______.
The magnetic susceptibility for diamagnetic materials is ______.
Earth's magnetic field analyses has a horizontal component except at:-
A hydrogen atom is paramagnetic. A hydrogen molecule is
According to the Atomic theory, on heating a magnet, the thermal energy of the elementary magnet ______
A paramagnetic sample shows a net magnetisation of 8 Am–1 when placed in an external magnetic field of 0.6 T at a temperature of 4 K. When the same sample is placed in an external magnetic field of 0.2 T at a temperature of 16 K, the magnetisation will be ______.
S is the surface of a lump of magnetic material.
- Lines of B are necessarily continuous across S.
- Some lines of B must be discontinuous across S.
- Lines of H are necessarily continuous across S.
- Lines of H cannot all be continuous across S.
Essential difference between electrostatic shielding by a conducting shell and magnetostatic shielding is due to ______.
- electrostatic field lines can end on charges and conductors have free charges.
- lines of B can also end but conductors cannot end them.
- lines of B cannot end on any material and perfect shielding is not possible.
- shells of high permeability materials can be used to divert lines of B from the interior region.
A permanent magnet in the shape of a thin cylinder of length 10 cm has M = 106 A/m. Calculate the magnetisation current IM.
Explain quantitatively the order of magnitude difference between the diamagnetic susceptibility of N2 (~5 × 10–9) (at STP) and Cu (~10–5).
From molecular view point, discuss the temperature dependence of susceptibility for diamagnetism, paramagnetism and ferromagnetism.
A uniform magnetic field gets modified as shown in figure when two specimens A and B are placed in it.
 |
 |
| (a) | (b) |
- Identify the specimen A and B.
- How is the magnetic susceptibility of specimen A different from that of specimen B?
- Assertion (A): Diamagnetic substances exhibit magnetism.
- Reason (R): Diamagnetic materials do not have a permanent magnetic dipole moment.
Which of the following cannot modify an external magnetic field as shown in the figure?
Explain ferromagnetism on the basis of the domain theory.
Explain the Domain theory in brief.
Magnetic susceptibility of a diamagnetic substance ______.
