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Chapter 19: Problem 3

Two identical bar magnets lic next to one another on a table. Sketch the magnetic ficld lines if the north poles are at the same end.

Short Answer

Expert verified
Short Answer: When two identical bar magnets are placed with their north poles at the same end, the magnetic field lines between the north poles repel each other, forming an arc. Between the south poles, the field lines attract each other, forming straight lines. The field lines curve around the sides of the magnets, connecting the north pole of one magnet to the south pole of the other magnet in the gap between the two. The magnetic field lines never intersect and are closer together near the poles.

Step by step solution

01

Understanding the magnetic field of a single bar magnet

A bar magnet has two poles, north and south. The magnetic field lines flow from the north pole to the south pole outside the magnet and from the south pole to the north pole inside the magnet. The field lines are closer together at the poles, where the magnetic field is stronger, and spread out as they go away from the poles.
02

Placing two identical bar magnets on a table

Place two identical bar magnets on a table, with the north pole of both magnets at the same end and the south poles at the opposite ends. The two magnets should be parallel to each other with a small gap between them.
03

Sketching the magnetic field lines for the north poles

Since both north poles are at the same end, the magnetic field lines would repel each other between the north poles. Draw the field lines curving away from each other, forming an arc between the north poles. The magnetic field lines would not cross or intersect each other.
04

Sketching the magnetic field lines for the south poles

At the opposite end with the south poles, the magnetic field lines will flow directly between the two south poles, as they attract each other. Draw the field lines as straight lines connecting both south poles.
05

Sketching the magnetic field lines around the bar magnets

Starting from the north pole of each magnet, draw the field lines curving around the sides of the magnets and connecting to the south poles of each magnet. Remember that the magnetic field lines never cross each other as they travel from one pole to another.
06

Sketching the magnetic field lines in the middle of the bar magnets

In the gap between the two bar magnets, draw the magnetic field lines connecting the north pole of one magnet to the south pole of the other magnet.
07

Completing the sketch

Review the sketch and verify if the magnetic field lines are consistent with the behavior of bar magnets. The field lines must not intersect, must be closer together near the poles, and must flow from the north pole to the south pole, both inside and outside the magnet. If the sketch follows these principles, the task is complete.

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Most popular questions from this chapter

A proton moves in a helical path at speed \(v=4.0\) $\times 10^{7} \mathrm{m} / \mathrm{s}$ high above the atmosphere, where Earth's magnetic field has magnitude \(B=1.0 \times 10^{-6} \mathrm{T}\). The proton's velocity makes an angle of \(25^{\circ}\) with the magnetic field. (a) Find the radius of the helix. [Hint: Use the perpendicular component of the velocity.] (b) Find the pitch of the helix-the distance between adjacent "coils." [Hint: Find the time for one revolution; then find how far the proton moves along a field line during that time interval.]
A \(20.0 \mathrm{cm} \times 30.0 \mathrm{cm}\) rectangular loop of wire carries \(1.0 \mathrm{A}\) of current clockwise around the loop. (a) Find the magnetic force on each side of the loop if the magnetic ficld is 2.5 T out of the page. (b) What is the net magnetic force on the loop?
Two concentric circular wire loops in the same plane each carry a current. The larger loop has a current of 8.46 A circulating clockwise and has a radius of \(6.20 \mathrm{cm} .\) The smaller loop has a radius of \(4.42 \mathrm{cm} .\) What is the current in the smaller loop if the total magnetic field at the center of the system is zero? [See Eq. \((19-16) .]\)
A long straight wire carries a current of 3.2 \(A\) in the positive \(x\)-direction. An electron, traveling at \(6.8 脳 10 6\) m/s in the positive \(x\) -direction, is 4.6 cm from the wire. What force acts on the electron?
Find the magnetic force exerted on an electron moving vertically upward at a speed of \(2.0 \times 10^{7} \mathrm{m} / \mathrm{s}\) by a horizontal magnetic field of \(0.50 \mathrm{T}\) directed north.
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