Tutorials in Introductory Physics
1st Edition
ISBN: 9780130970695
Author: Peter S. Shaffer, Lillian C. McDermott
Publisher: Addison Wesley
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Textbook Question
Chapter 7.2, Problem 3cT
A solenoid is an arrangement of many current loops placed together as shown below. The current through each loop is the same and is in the direction shown.
Obtain or draw an enlargement of the figure.
1. At each of the labeled points, draw a vector to indicate the direction and magnitude of the magnetic field. Use the principle of superposition in determine your answer.
2. Sketch magnetic field lines on the enlargement.
Describe the magnetic field near the center of the solenoid.
3. How does the field of the solenoid a points A-E compare with that of a bar magnet (both inside and outside?
Which end of the solenoid corresponds to a north pole? Which end corresponds to a south pole?
4. How would the magnetic field at any point within the solenoid be affected by the following changes? Explain your reasoning in each case.
• The current through each coil of the solenoid is increased by a factor of two.
• The number of coils in each unit length of the solenoid is increased by a factor of two, with the current through each coil remaining the same.
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Students have asked these similar questions
Two current-carrying loops are arranged so that they form concentric circles as shown in the figure below. The bigger loop (radius = 0.80 m) has a 5.00 A-current passing through it. The smaller loop has a radius of 0.40 m.
1. Draw the magnetic field (use 2 different colors) produced by each current carrying loop.
2. Determine the magnitude of the current in the inner loop so that the resulting net magnetic field at the center of the concentric loops will be zero. (Hint: This will only happen when the directions of the magnetic field produced by each loop are opposite in direction)
A long wire is wrapped into a cylindrical shape by turning it around and around many times. Then the cylinder is placed upright on a tabletop like a cup on a table. A magnet is dropped through the cylinder. Explain the effect on the cylinder and on the magnet. Be clear on the physics laws involved (if any). Draw pictures if needed to make your point.
Right hand rule for magnetic field due to a long straight
current: Magnetic field lines are a way to graphically represent
I
the magnetic field. The direction of B at any point is tangent to
the field line and the magnitude of B is proportional to the
density of field lines. For the long straight wire, the magnetic
I
field lines form circles around the wire.
There is a right hand rule for the direction in the magnetic field
go around the wire. Grasp the wire with your thumb in the
direction of the current. The direction your fingers wrap around
the wire is the direction that the B field lines go around the
wire. Check that this agrees with your analysis of the long
straight wire from the previous problem.
lines
В
Magnitude of magnetic field due to a long straight current:
The magnitude of the magnetic field at a distance r due to a
very long straight wire carrying current I can be derived from
dB O
the Biot-Savart law:
HoI ds sin ø
HOID ds
dB
4π (s2+ D?) 4π(s2+ D2)3/2
D
where we used…
Chapter 7 Solutions
Tutorials in Introductory Physics
Ch. 7.1 - Investigate the objects that you have been given...Ch. 7.1 - Obtain a permanent magnet and an object that is...Ch. 7.1 - The parts of a permanent magnet that interact most...Ch. 7.2 - On an enlargement of the figure below, sketch...Ch. 7.2 - B. Make prediction for the following five...Ch. 7.2 - Suppose you place a small magnet in a magnetic...Ch. 7.2 - B. Suppose you hold a magnetic compass near a...Ch. 7.2 - Now suppose that you hold the compass at some...Ch. 7.2 - Sketch the magnetic field lines of a...Ch. 7.2 - A wire is formed into a and the leads are twisted...
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