Essential University Physics (3rd Edition)
3rd Edition
ISBN: 9780134202709
Author: Richard Wolfson
Publisher: PEARSON
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Question
Chapter 27, Problem 67P
To determine
The expression for the total magnetic energy per unit length within the wire.
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A wire of nonmagnetic material, with radius R, carries current uniformly distributed over its cross section. The total current carried by the wire is I. Show that the magnetic energy per unit length inside the wire is μ0I2/16π.
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The figure below shows a piece of insulated wire formed into the shape of a figure eight. You may consider the two loops of the figure eight to be circles, where the upper loop's radius is 3.00 cm and the lower loop's radius is 8.00 cm. The wire has a uniform
resistance per unit length of 4.00 0/m. The wire lies in a plane that is perpendicular to a uniform magnetic field directed into the page, the magnitude of which is increasing at a constant rate of 2.50 T/s.
(a) What is the magnitude of the induced current in the wire (in A)?
A
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O clockwise in the upper loop
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Chapter 27 Solutions
Essential University Physics (3rd Edition)
Ch. 27.3 - You push a bar magnet toward a loop, with the...Ch. 27.3 - Prob. 27.2GICh. 27.3 - If you lower the electrical resistance connected...Ch. 27.3 - A copper penny falls on a path that takes it...Ch. 27.3 - Prob. 27.5GICh. 27.5 - If you keep the current in a solenoid constant...Ch. 27.6 - Prob. 27.8GICh. 27 - In Fig. 27.35, a bar magnet moves toward a...Ch. 27 - Figure 27.36 shows two concentric conducting...Ch. 27 - Fluctuations in Earths magnetic field due to...
Ch. 27 - Chapter 26 stated that a static magnetic field...Ch. 27 - Can an induced electric field exist in the absence...Ch. 27 - A car battery has a 12-V emf, yet energy from the...Ch. 27 - Prob. 7FTDCh. 27 - Prob. 8FTDCh. 27 - Prob. 9FTDCh. 27 - Prob. 10FTDCh. 27 - It takes work to push two bar magnets together...Ch. 27 - A small magnet is dropped into each of two hollow...Ch. 27 - Prob. 13FTDCh. 27 - Show that the volt is the SI unit for the rate of...Ch. 27 - Find the magnetic flux through a 5.0-cm-diameter...Ch. 27 - A circular wire loop 45 cm in diameter has...Ch. 27 - Prob. 17ECh. 27 - Prob. 18ECh. 27 - Find the self-inductance of a 1500-turn solenoid...Ch. 27 - Prob. 20ECh. 27 - Prob. 21ECh. 27 - Prob. 22ECh. 27 - What inductance should you put in series with a...Ch. 27 - The current in a series RL circuit increases to...Ch. 27 - Prob. 25ECh. 27 - Prob. 26ECh. 27 - Prob. 27ECh. 27 - A 1250-turn solenoid 23.2 cm long and 1.58 cm in...Ch. 27 - Prob. 29ECh. 27 - The worlds strongest magnet that can produce a...Ch. 27 - Find the magnetic-field strength in a region where...Ch. 27 - Prob. 32ECh. 27 - Find an expression for the electric-field strength...Ch. 27 - A conducting loop of area A and resistance R lies...Ch. 27 - A conducting loop with area 0.15 m2 and resistance...Ch. 27 - A square wire loop of side l and resistance R is...Ch. 27 - A 5-turn coil 1.0 cm in diameter is rotated at 10...Ch. 27 - A magnetic field is given by B = B0(x/x0)2k, where...Ch. 27 - Prob. 39PCh. 27 - In Example 27.2 take a = 1.0 cm, w = 3.5 cm, and l...Ch. 27 - A 2000-turn solenoid is 2.0 m long and 15 cm in...Ch. 27 - A stent is a cylindrical tube, often made of metal...Ch. 27 - Prob. 43PCh. 27 - Youre an electrical engineer designing an...Ch. 27 - A generator consists of a rectangular coil 75 cm...Ch. 27 - Figure 27.39 shows a pair of parallel conducting...Ch. 27 - Prob. 47PCh. 27 - Prob. 48PCh. 27 - Prob. 49PCh. 27 - The magnetic field inside a solenoid of circular...Ch. 27 - An electron is inside a solenoid, 28 cm from the...Ch. 27 - During lab, youre given a circular wire loop of...Ch. 27 - A flip coil is used to measure magnetic fields....Ch. 27 - Prob. 54PCh. 27 - Prob. 55PCh. 27 - In Fig. 27.23a, take R = 2.5 k and 0 = 50 V. When...Ch. 27 - How long does it take to dissipate 90% of the...Ch. 27 - Prob. 58PCh. 27 - Prob. 59PCh. 27 - Prob. 60PCh. 27 - In Fig. 27.40, take 0 = 12 V, R1 = 4.0 , R2 = 8.0...Ch. 27 - Prob. 62PCh. 27 - Prob. 63PCh. 27 - Your hospital is installing a new MRI scanner...Ch. 27 - A neutron stars magnetic field is about 108 T....Ch. 27 - Prob. 66PCh. 27 - Prob. 67PCh. 27 - Prob. 68PCh. 27 - An electric field and a magnetic field have the...Ch. 27 - Prob. 70PCh. 27 - Prob. 71PCh. 27 - Prob. 72PCh. 27 - Prob. 73PCh. 27 - A circular wire loop of radius a and resistance R...Ch. 27 - The bar in Problem 46 has mass m and is initially...Ch. 27 - Use the node and loop laws to determine the...Ch. 27 - Prob. 77PCh. 27 - You and your roommate are headed to Cancn for...Ch. 27 - One way to measure blood flow when blood vessels...Ch. 27 - Clever farmers with power lines crossing their...Ch. 27 - Clever farmers with power lines crossing their...Ch. 27 - Clever farmers with power lines crossing their...Ch. 27 - Clever farmers with power lines crossing their...
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