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A short Bar magnet has magnetic moment of 50 A m square. Calculate the magnetic field intensity at a distance of 0.2 m from the centre on 1. It's axial line 2.its equatorial line?
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A short Bar magnet has magnetic moment of 50 A m square. Calculate the...
**Calculating the Magnetic Field Intensity at a Distance from the Centre of a Bar Magnet**

To calculate the magnetic field intensity at a distance from the centre of a short bar magnet, we need to consider two scenarios: one along its axial line and the other along its equatorial line.

**Axial Line:**

When measuring the magnetic field intensity along the axial line of a bar magnet, we assume that the distance from the centre is denoted as 'r'. In this case, the formula used to calculate the magnetic field intensity is given by:

B = (μ₀ * m) / (4π * r³)

Where:
- B is the magnetic field intensity
- μ₀ is the magnetic constant (4π * 10⁻⁷ T m/A)
- m is the magnetic moment of the bar magnet

Given that the magnetic moment (m) of the bar magnet is 50 A m² and the distance (r) from the centre is 0.2 m, we can substitute the values into the formula to find the magnetic field intensity along the axial line.

B = (4π * 10⁻⁷ T m/A * 50 A m²) / (4π * (0.2 m)³)

Simplifying the equation further, we get:

B = (50 * 10⁻⁷) / (0.008π)

B = 1.59 * 10⁻⁴ T

Therefore, the magnetic field intensity at a distance of 0.2 m from the centre along the axial line is approximately 1.59 * 10⁻⁴ Tesla.

**Equatorial Line:**

When measuring the magnetic field intensity along the equatorial line of a bar magnet, we again assume that the distance from the centre is 'r'. In this case, the formula used to calculate the magnetic field intensity is given by:

B = (μ₀ * m) / (4π * r³)

Using the same values for the magnetic moment (m) and the distance (r) as mentioned above, we can substitute the values into the formula to find the magnetic field intensity along the equatorial line.

B = (4π * 10⁻⁷ T m/A * 50 A m²) / (4π * (0.2 m)³)

Simplifying the equation further, we get:

B = (50 * 10⁻⁷) / (0.008π)

B = 1.59 * 10⁻⁴ T

Therefore, the magnetic field intensity at a distance of 0.2 m from the centre along the equatorial line is also approximately 1.59 * 10⁻⁴ Tesla.

**Conclusion:**

The magnetic field intensity at a distance of 0.2 m from the centre of a short bar magnet is the same along both its axial and equatorial lines. In this case, the magnetic field intensity is approximately 1.59 * 10⁻⁴ Tesla.
Community Answer
A short Bar magnet has magnetic moment of 50 A m square. Calculate the...
Here m=50 Am^2
and r=0.2 m
then, At axial:
B= k 2m/r^3
where k is magnetic constant which value is 10^(-7)
so, B=10^(-7)×2×50/(0.2)^3=1.25×10^(-3) N/c
then, At equitorial:
we know that axial/eqitorial=2
then equitorial=axial/2=1.25×10^(-3)/2=6.25×10^(-2) N/c
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Read the following text and answer the following questions on the basis of the same: Super magnet The term super magnet is a broad term and encompasses several families of rare-earth magnets that include seventeen elements in the periodic table; namely scandium, yttrium, and the fifteen lanthanides. These elements can be magnetized, but have Curie temperatures below room temperature. This means that in their pure form, their magnetism only appears at low temperatures. However, when they form compounds with transition metals such as iron, nickel, cobalt, etc. Curie temperature rises well above room temperature and they can be used effectively at higher temperatures as well. The main advantage they have over conventional magnets is that their greater strength allows for smaller, lighter magnets to be used. Super magnets are of two categories: (i) Neodymium magnet: These are made from an alloy of neodymium, iron, and boron. This material is currently the strongest known type of permanent magnet. It is typically used in the construction of head actuators in computer hard drives and has many electronic applications, such as electric motors, appliances, and magnetic resonance imaging (MRI). (ii) Samarium-cobalt magnet: These are made from an alloy of samarium and cobalt. This second strongest type of rare Earth magnet is also used in electronic motors, turbo-machinery, and because of its high temperature range tolerance may also have many applications for space travel, such as cryogenics and heat resistant machinery. Rare-earth magnets are extremely brittle and also vulnerable to corrosion, so they are usually plated or coated to protect them from breaking, chipping, or crumbling into powder. Since super magnets are about 10 times stronger than ordinary magnets, safe distance should be maintained otherwise these may damage mechanical watch, CRT monitor, pacemaker, credit cards, magnetically stored media etc. These types of magnets are hazardous for health also. The greater force exerted by rare-earth magnets creates hazards that are not seen with other types of magnet. Magnets larger than a few centimeters are strong enough to cause injuries to body parts pinched between two magnets or a magnet and a metal surface, even causing broken bones. Neodymium permanent magnets lose their magnetism 5% every 100 years. So, in the truest sense Neodymium magnets may be considered as a permanent magnet.Neodymium permanent magnets lose their magnetism ____ % every 100 years.

A short Bar magnet has magnetic moment of 50 A m square. Calculate the magnetic field intensity at a distance of 0.2 m from the centre on 1. It's axial line 2.its equatorial line?
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A short Bar magnet has magnetic moment of 50 A m square. Calculate the magnetic field intensity at a distance of 0.2 m from the centre on 1. It's axial line 2.its equatorial line? for Class 12 2024 is part of Class 12 preparation. The Question and answers have been prepared according to the Class 12 exam syllabus. Information about A short Bar magnet has magnetic moment of 50 A m square. Calculate the magnetic field intensity at a distance of 0.2 m from the centre on 1. It's axial line 2.its equatorial line? covers all topics & solutions for Class 12 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A short Bar magnet has magnetic moment of 50 A m square. Calculate the magnetic field intensity at a distance of 0.2 m from the centre on 1. It's axial line 2.its equatorial line?.
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