EP PHYSICS F/SCI.+ENGR.W/MOD..-MOD MAST
4th Edition
ISBN: 9780133899634
Author: GIANCOLI
Publisher: PEARSON CO
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Chapter 28, Problem 60GP
To determine
Whether the magnetic field increase or decrease at the centre.
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3. Coaxial cables are often used to connect electrical devices, for instance in receiving
signals in TV cable systems. Figure below shows a long coaxial cable as consisting of
two thin concentric cylindrical conducting shells of radii a and b and length 1. The
conducting shells (regions: r < a and a < r < b are hollow) carry the same current I
in opposite directions. Imagine that the inner conductor carries current to a device and
that the outer one acts as a return path carrying the current back to the source. The
magnetic field is perpendicular to the blue rectangle of length / and width b-a; the cross
section of interest is shown.
b
dr
B
Calculate the self-inductance L of this cable.
Calculate the total energy stored in the magnetic field of the cable.
6) Define the Hall coefficient. Estimate magnitude of the Hall voltage for a specimen of sodium (Na)
in the form of a rod of rectangular cross-section, with dimensions 6 mm x 6 mm. The rod carries a
current of 2 A down its axis in a B of 5000 Gauss that is perpendicular to the direction of the current.
The density of Na atom is 0.968 g/cm³, and Na has an atomic mass of 22.98977 g/mol.
R2
lo
R3
Ri
An image taken from the cross-sectional area of a coaxial cable consisting of a
solid inner conductor of Radius R1 surrounded by a concentric cylindrical tube of
inner radius R2 and outer radius R3 is given in the figure. The inner conductor and
outer conductor (cylindrical tube) have the current density ji = C,r and j, = C2r
, respectively, for which r is the radial distance from the center. Each conductor
carries the same total I, in opposite directions. What is the magnitude of the
magnetic field B, at a distance r, = 2 cm and B, at a distance r, = 7 cm ?
(R, = 3 cm ; R2 = 6 cm ; R3 = 8 cm ;l, = 3 A ; µo = 4nx10-7 T.m/A. Take
the sign of the current coming out from the page plane as positive).
а) В, — 7.40 рТ; В, — 7.28 иТ b) В, — 8.8 дТ ; В, — 4.89 иT
%3D
с) В, — 2.56 иТ; В, — 4.93 иТ d) B, — 0.62 иT ;B В, — 2.81 иT
%3D
e) B1 = 5 µT ; B2 = 4.78 µT
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Chapter 28 Solutions
EP PHYSICS F/SCI.+ENGR.W/MOD..-MOD MAST
Ch. 28.1 - In Example 2510 we saw that a typical lightning...Ch. 28.1 - Suppose both I1 and I2 point into the page in Fig....Ch. 28.4 - Prob. 1CECh. 28 - The magnetic field due to current in wires in your...Ch. 28 - Compare and contrast the magnetic field due to a...Ch. 28 - Two insulated long wires carrying equal currents I...Ch. 28 - Prob. 4QCh. 28 - A horizontal current-carrying wire, free to move...Ch. 28 - (a) Write Ampres law for a path that surrounds...Ch. 28 - Suppose the cylindrical conductor of Fig. 2811a...
Ch. 28 - Explain why a field such as that shown in Fig....Ch. 28 - Prob. 9QCh. 28 - Use the Biot-Savart law to show that the field of...Ch. 28 - Prob. 11QCh. 28 - Why does twisting the lead-in wires to electrical...Ch. 28 - Compare the Biot-Savart law with Coulombs law....Ch. 28 - How might you define or determine the magnetic...Ch. 28 - How might you measure the magnetic dipole moment...Ch. 28 - A type of magnetic switch similar to a solenoid is...Ch. 28 - A heavy magnet attracts, from rest, a heavy block...Ch. 28 - Will a magnet attract any metallic object, such as...Ch. 28 - An unmagnetized nail will not attract an...Ch. 28 - Prob. 20QCh. 28 - Prob. 21QCh. 28 - Prob. 22QCh. 28 - Prob. 23QCh. 28 - Two iron bars attract each other no matter which...Ch. 28 - Describe the magnetization curve for (a) a...Ch. 28 - Prob. 26QCh. 28 - (I) Jumper cables used to start a stalled vehicle...Ch. 28 - (I) If an electric wire is allowed to produce a...Ch. 28 - Prob. 3PCh. 28 - Prob. 4PCh. 28 - Prob. 5PCh. 28 - (II) An experiment on the Earths magnetic field is...Ch. 28 - Prob. 7PCh. 28 - At the location of the compass, the magnetic field...Ch. 28 - (II) A long horizontal wire carries 24.0 A of...Ch. 28 - (II) A straight stream of protons passes a given...Ch. 28 - (II) Determine the magnetic field midway between...Ch. 28 - (II) Two straight parallel wires are separated by...Ch. 28 - (II) Two long straight wires each carry a current...Ch. 28 - (II) A long pair of insulated wires serves to...Ch. 28 - (II) A third wire is placed in the plane of the...Ch. 28 - (II) A power line carries a current of 95 A west...Ch. 28 - (II) A compass needle points 28 E of N outdoors....Ch. 28 - Prob. 18PCh. 28 - (II) Let two long parallel wires, a distance d...Ch. 28 - (II) Repeat Problem 19 if the wire at x = 0...Ch. 28 - (II) Two long wires are oriented so that they are...Ch. 28 - (II) Two long parallel wires 8.20 cm apart carry...Ch. 28 - (III) A very long flat conducting strip of width d...Ch. 28 - (III) A triangular loop of side length a carries a...Ch. 28 - Prob. 25PCh. 28 - Prob. 26PCh. 28 - (I) A 2.5-mm-diameter copper wire carries a 33-A...Ch. 28 - (II) A toroid (Fig. 2817) has a 50.0-cm inner...Ch. 28 - Prob. 29PCh. 28 - (II) (a) Use Eq. 281, and the vector nature of B,...Ch. 28 - (II) A coaxial cable consists of a solid inner...Ch. 28 - (III) Suppose the current in the coaxial cable of...Ch. 28 - Prob. 33PCh. 28 - (II) A wire, in a plane, has the shape shown in...Ch. 28 - (II) A circular conducting ring of radius R is...Ch. 28 - (II) A small loop of wire of radius 1.8 cm is...Ch. 28 - Prob. 37PCh. 28 - Prob. 38PCh. 28 - Prob. 39PCh. 28 - Prob. 40PCh. 28 - Prob. 41PCh. 28 - (III) Use the result of Problem 41 to find the...Ch. 28 - (III) A wire is bent into the shape of a regular...Ch. 28 - Prob. 44PCh. 28 - Prob. 45PCh. 28 - (III) A square loop of wire, of side d, carries a...Ch. 28 - (II) An iron atom has a magnetic dipole moment of...Ch. 28 - (I) The following are some values of B and B0 for...Ch. 28 - (I) A large thin toroid has 285 loops of wire per...Ch. 28 - (II) An iron-core solenoid is 38 cm long and 1.8...Ch. 28 - Three long parallel wires are 3.5 cm from one...Ch. 28 - Prob. 52GPCh. 28 - Prob. 53GPCh. 28 - Prob. 54GPCh. 28 - Two long straight parallel wires are 15 cm apart....Ch. 28 - A rectangular loop of wire carries a 2.0-A current...Ch. 28 - Prob. 57GPCh. 28 - A long horizontal wire carries a current of 48 A....Ch. 28 - A square loop of wire, of side d, carries a...Ch. 28 - Prob. 60GPCh. 28 - Prob. 61GPCh. 28 - For two long parallel wires separated by a...Ch. 28 - Near the Earths poles the magnetic field is about...Ch. 28 - A 175-g model airplane charged to 18.0 mC and...Ch. 28 - Suppose that an electromagnet uses a coil 2.0 m in...Ch. 28 - Four hour long straight parallel wires located at...Ch. 28 - Prob. 67GPCh. 28 - A thin 12-cm-long solenoid has a total of 420...Ch. 28 - A 550-turn solenoid is 15 cm long. The current...Ch. 28 - Prob. 70GPCh. 28 - Prob. 71GPCh. 28 - Prob. 72GPCh. 28 - Prob. 73GPCh. 28 - Prob. 74GPCh. 28 - (II) A circular current loop of radius 15 cm...Ch. 28 - (III) A set of Helmholtz coils (see Problem 61,...
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