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Chapter 20: Problem 18

A bar magnet is placed north-south with its north pole due north. The points of zero magnetic field will be in which direction from centre of magnet (a) north and south (b) east and west (c) north-east and south-west (d) north-east and south-east

Short Answer

Expert verified
The points of zero magnetic field will be in direction (b) east and west.

Step by step solution

01

Understanding the Magnetic Field of a Bar Magnet

A bar magnet has a north pole and a south pole, and it creates a magnetic field around it. The magnetic field lines emerge from the magnetic north pole and enter into the magnetic south pole, forming closed loops. Points where magnetic field vanishes are known as neutral points and typically occur where the magnetic field due to the magnet is canceled out by another magnetic field, such as the Earth's magnetic field.
02

Analyzing the Earth's Magnetic Field

The Earth's magnetic field runs from the geographic south towards the geographic north, which can be thought of as if a giant bar magnet is placed within the Earth, with the magnetic south near the geographic north pole and vice versa. This field will influence the neutral points of another magnet placed on the Earth's surface.
03

Conditions for Zero Magnetic Field

For the points around the bar magnet to have zero magnetic field, the magnetic field from the bar magnet must be exactly canceled by the Earth's magnetic field. When a bar magnet is placed north-south, with its north pole due north, the Earth's magnetic field and the bar magnet's field will cancel out at points perpendicular to the axis of the magnet's length, hence toward the east and west.
04

Determining the Direction of Zero Magnetic Field

Since the neutral points, where there is no magnetic field, are located where the magnetic field lines from the bar magnet and those from the Earth's field directly oppose and cancel each other, these neutral points appear east and west relative to the center of the magnet.

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Magnetic Field
When you think of a magnetic field, picture an invisible space around a magnet where magnetic forces act. This field is what makes compass needles point or enables magnets to stick to your fridge. A bar magnet, in particular, has two poles, north and south. The magnetic field lines emerge from the north pole and curve around to enter the south pole.
These lines don't just stop at the surface; they extend out indefinitely, creating a magnetic environment around the magnet. The strength of the magnetic field decreases as you move further away. This field can interact with other magnetic fields, like that of the Earth, resulting in interesting phenomena such as neutral points.
Neutral Points
Neutral points are fascinating spots in the magnetic field landscape. These are locations where the magnetic field strength is essentially zero. This happens when the magnetic field from a bar magnet is perfectly canceled by another magnetic field, like the Earth's magnetic field.
Imagine placing two identical forces head on; they cancel each other out. That鈥檚 what happens at neutral points. When a bar magnet is aligned north-south, neutral points tend to appear east and west of the magnet.
  • They occur due to the direct opposition of two magnetic forces.
  • At these points, compass needles will not settle on a definite direction because there is no net magnetic force influencing them.
Earth's Magnetic Field
The Earth's magnetic field is like a giant bar magnet embedded within the planet, with its magnetic south pole near the geographic North Pole and vice versa. It's what makes your compass needle point north and helps in navigation.
This magnetic field is crucial in the creation of neutral points. When a bar magnet is placed on or near the Earth's surface, the Earth's field interacts with the magnet's field.
  • The Earth's field lines typically run from geographic south to geographic north.
  • This natural magnetism influences other magnetic objects and leads to the formation of neutral points.
North-South Orientation
The north-south orientation of magnets, whether natural or artificial like a bar magnet, is pivotal in how they interact with the Earth's magnetic field. When you place a bar magnet with its north pole facing due north, it aligns with the Earth's magnetic field.
This arrangement causes their respective magnetic lines to either reinforce or cancel out at various points. That鈥檚 why, in our example with the bar magnet, neutral points appear towards east and west.
  • Alignment affects where fields strengthen or weaken.
  • Understanding this concept is key to predicting magnetic interactions.
  • It plays a vital role in compass navigation and magnetic field mapping.

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Most popular questions from this chapter

Two magnets held together in earth's magnetic field with same polarity together make 12 vib-min \(^{-1}\) and when opposite poles together make 4 vib- min \(^{-1}\). The ratio of magnetie moments is (a) \(9: 1\) (b) \(1: 3\) (c) \(1: 9\) (d) \(5: 4\)

A magnetic dipole is placed at right angles to the direction of lines of force of magnetic induction \(B\). If it is rotated through an angle of \(180^{\circ}\), then the work done is (a) \(M B\) (b) \(2 \mathrm{MB}\) (c) \(-2 \mathrm{MB}\) (d) zero

The horizontal component of flux density of earth's magnetic field is \(1.7 \times 10^{-5} \mathrm{~T}\). The value of horizontal component of intensity of earth's magnetic field will be (a) \(24.5 \mathrm{Am}^{-1}\) (b) \(13.5 \mathrm{Am}^{-1}\) (c) \(1.53 \mathrm{Am}^{-1}\) (d) \(0.35 \mathrm{Am}^{-1}\)

Assertion-Reason type. Each of these contains two Statements: Statement 1 (Assertion), Statement II (Reason). Each of these questions also has four alternative choice, only one of which is correct. You have to select the correct choices from the codes (a), (b), (c) and (d) given below (a) If both Assertion and Reason are true and the Reason is correct explanation of the Assertion. (b) If both Assertion and Reason are true but Reason is not correct explanation of the Assertion. (c) If Assertion is true but Reason is false. (d) If Assertion is false but the Reason is true. Assertion Magnetic dipole possesses maximum potential energy when magnetie moment and magnetic field are parallel to each other. Reason Current loop is treated as a magnetic dipole.

Two short bar magnets of length \(1 \mathrm{~cm}\) each have magnetic moments \(1.20 \mathrm{Am}^{2}\) and \(1.00 \mathrm{Am}^{2}\) respectively. They are placed on a horizontal table parallel to each other with their \(N\) poles pointing towards the south. They have a common magnetic equator and are separated by a distance of \(20.0 \mathrm{~cm}\). The value of the resultant horizontal magnetic induction at the mid-point \(O\) of the line joining their centres is elose to (Horizontal component of the earth's magnetic induction is \(3.6 \times 10^{-5} \mathrm{~Wb} / \mathrm{m}^{2}\) ) IJEE Main 2013| (a) \(3.6 \times 10^{-5} \mathrm{~Wb} / \mathrm{m}^{2}\) (b) \(2.56 \times 10^{-4} \mathrm{~Wb} / \mathrm{m}^{2}\) (c) \(3.50 \times 10^{-4} \mathrm{~Wb} / \mathrm{m}^{2}\) (d) \(5.80 \times 10^{-4} \mathrm{~Wb} / \mathrm{m}^{2}\)
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