University Physics with Modern Physics, Volume 2 (Chs. 21-37); Mastering Physics with Pearson eText -- ValuePack Access Card (14th Edition)
14th Edition
ISBN: 9780134265414
Author: Hugh D. Young, Roger A. Freedman
Publisher: PEARSON
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Chapter 29, Problem 29.54P
CALC A
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A conducting bar of length moves to the right on two frictionless rails as shown in the figure below. A uniform magnetic field directed into the page has a magnitude of 0.310 T. Assume R = 8.70 and l = 0.340 m.
l
R
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x
x
X
x
counterclockwise
into the page
out of the page
x
x x
Bin
(a) At what constant speed should the bar move to produce an 8.20-mA current in the resistor?
m/s
(b) What is the direction of the induced current?
clockwise
(c) At what rate is energy delivered to the resistor?
mW
. A uniform magnetic field is directed normal to the plane of a wire that has been formed into 6a circular ring of radius, r = 3.1 cm. The magnetic field is uniform in space, but changeswith time. The resistance of this ring is R = 2.0 Ω. A steady current of i = 2.5 mA flowsthrough the wire. How fast is the magnetic field changing?
A conducting rod spans a gap of length L = 0.085 m and acts as the fourth side of
a rectangular conducting loop, as shown in the figure. A constant magnetic field B = 0.55 T pointing
into the paper is in the region. The rod is moving under an external force with an acceleration a =
At?, where A = 4,5 m/s*. The resistance in the wvire is R = 145 Q.
L = 0.085 m
B = 0.55 T
A = 4,5 m/s
R= 145 N
B
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X
R
V
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X
Express the magnitude of the magnetic flux going through the loop, , in terms of B, x and L.
Express the speed of the rod, v, in terms of A and t. Assume v = 0 at t = 0.
Express the position of the rod, x, in terms of 4 and t. Assume x = 0 at 1 = 0.
Express the derivative of the magnetic flux, do/dt, in terms of B, 4, L and t.
do/dt =
Express the magnitude of the emf induced in the loop, ɛ, in terms of B, L, A and t.
Express the current induced in the loop, I, in terms of ɛ and R.
Calculate the numerical value of I at t = 2s in A.
I(t=2s) =
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Chapter 29 Solutions
University Physics with Modern Physics, Volume 2 (Chs. 21-37); Mastering Physics with Pearson eText -- ValuePack Access Card (14th Edition)
Ch. 29.2 - The accompanying figure shows a wire coil being...Ch. 29.3 - (a) Suppose the magnet in Fig. 29.14a were...Ch. 29.4 - The earths magnetic field points toward (magnetic)...Ch. 29.5 - If you wiggle a magnet back and forth in your...Ch. 29.6 - Prob. 29.6TYUCh. 29.7 - Prob. 29.7TYUCh. 29 - A sheet of copper is placed between the poles of...Ch. 29 - Prob. 29.2DQCh. 29 - Prob. 29.3DQCh. 29 - Prob. 29.4DQ
Ch. 29 - A long, straight conductor passes through the...Ch. 29 - A student asserted that if a permanent magnet is...Ch. 29 - An airplane is in level flight over Antarctica,...Ch. 29 - Consider the situation in Exercise 29.21. In part...Ch. 29 - Prob. 29.9DQCh. 29 - Prob. 29.10DQCh. 29 - Example 29.6 discusses the external force that...Ch. 29 - In the situation shown in Fig. 29.18, would it be...Ch. 29 - Prob. 29.13DQCh. 29 - Small one-cylinder gasoline engines sometimes use...Ch. 29 - Does Lenzs law say that the induced current in a...Ch. 29 - Does Faradays law say that a large magnetic flux...Ch. 29 - Can one have a displacement current as well as a...Ch. 29 - Prob. 29.18DQCh. 29 - Match the mathematical statements of Maxwells...Ch. 29 - If magnetic monopoles existed, the right-hand side...Ch. 29 - Prob. 29.21DQCh. 29 - A single loop of wire with an area of 0.0900 m2 is...Ch. 29 - In a physics laboratory experiment, a coil with...Ch. 29 - Search Coils and Credit Cards. One practical way...Ch. 29 - A closely wound search coil (see Exercise 29.3)...Ch. 29 - A circular loop of wire with a radius of 12.0 cm...Ch. 29 - CALC A coil 4.00 cm in radius, containing 500...Ch. 29 - Prob. 29.7ECh. 29 - CALC A flat, circular, steel loop of radius 75 cm...Ch. 29 - Shrinking Loop. A circular loop of flexible iron...Ch. 29 - A closely wound rectangular coil of 80 turns has...Ch. 29 - CALC In a region of space, a magnetic field points...Ch. 29 - In many magnetic resonance imaging (MRI) systems,...Ch. 29 - The armature of a small generator consists of a...Ch. 29 - A flat, rectangular coil of dimensions l and w is...Ch. 29 - A circular loop of wire is in a region of...Ch. 29 - The current I in a long, straight wire is constant...Ch. 29 - Two closed loops A and C are close to a long wire...Ch. 29 - The current in Fig. E29.18 obeys the equation I(t)...Ch. 29 - Prob. 29.19ECh. 29 - A cardboard tube is wrapped with two windings of...Ch. 29 - A small, circular ring is inside a larger loop...Ch. 29 - A circular loop of wire with radius r = 0.0480 m...Ch. 29 - CALC A circular loop of wire with radius r =...Ch. 29 - A rectangular loop of wire with dimensions 1.50 cm...Ch. 29 - In Fig. E29.25 a conducting rod of length L = 30.0...Ch. 29 - A rectangle measuring 30.0 cm by 40.0 cm is...Ch. 29 - Are Motional emfs a Practical Source of...Ch. 29 - Motional emfs in Transportation. Airplanes and...Ch. 29 - The conducting rod ab shown in Fig. E29.29 makes...Ch. 29 - A 0.650-m-long metal bar is pulled to the right at...Ch. 29 - A 0.360-m-long metal bar is pulled to the left by...Ch. 29 - Prob. 29.32ECh. 29 - A 0.250-m-long bar moves on parallel rails that...Ch. 29 - Prob. 29.34ECh. 29 - Prob. 29.35ECh. 29 - A metal ring 4.50 cm in diameter is placed between...Ch. 29 - Prob. 29.37ECh. 29 - Prob. 29.38ECh. 29 - A long, thin solenoid has 400 turns per meter and...Ch. 29 - Prob. 29.40ECh. 29 - A long, straight solenoid with a cross-sectional...Ch. 29 - Prob. 29.42ECh. 29 - Prob. 29.43ECh. 29 - CALC In Fig. 29.23 the capacitor plates have area...Ch. 29 - Prob. 29.45ECh. 29 - A very long, rectangular loop of wire can slide...Ch. 29 - CP CALC In the circuit shown in Fig. P29.47, the...Ch. 29 - Prob. 29.48PCh. 29 - CALC A very long, straight solenoid with a...Ch. 29 - Prob. 29.50PCh. 29 - In Fig. P29.51 the loop is being pulled lo the...Ch. 29 - Make a Generator? You are shipwrecked on a...Ch. 29 - A flexible circular loop 6.50 cm in diameter lies...Ch. 29 - CALC A conducting rod with length L = 0.200 m,...Ch. 29 - Prob. 29.55PCh. 29 - CP CALC Terminal Speed. A bar of length L = 0.36 m...Ch. 29 - CALC The long, straight wire shown in Fig. P29.57a...Ch. 29 - CALC A circular conducting ring with radius r0 =...Ch. 29 - CALC A slender rod, 0.240 m long, rotates with an...Ch. 29 - A 25.0-cm-long metal rod lies in the .xy-plane and...Ch. 29 - CP CALC A rectangular loop with width L and a...Ch. 29 - CALC An airplane propeller of total length L...Ch. 29 - The magnetic field B, at all points within a...Ch. 29 - CP CALC A capacitor has two parallel plates with...Ch. 29 - Prob. 29.65PCh. 29 - Prob. 29.66PCh. 29 - DATA You are conducting an experiment in which a...Ch. 29 - DATA You measure the magnitude of the external...Ch. 29 - A metal bar with length L, mass m, and resistance...Ch. 29 - CP CALC A square, conducting, wire loop of side L,...Ch. 29 - BIO STIMULATING THE BRAIN. Communication in the...Ch. 29 - BIO STIMULATING THE BRAIN. Communication in the...Ch. 29 - It may be desirable to increase the maximum...Ch. 29 - Which graph in Fig. P29.74 best represents the...
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- Why is the following situation impossible? A conducting rectangular loop of mass M = 0.100 kg, resistance R = 1.00 , and dimensions w = 50.0 cm by = 90.0 cm is held with its lower edge just above a region with a uniform magnetic field of magnitude B = 1.00 T as shown in Figure P30.34. The loop is released from rest. Just as the top edge of the loop reaches the region containing the field, the loop moves with a speed 4.00 m/s. Figure P30.34arrow_forwardA square loop whose sides are 6.0-cm long is made with copper wire of radius 1.0 mm. If a magnetic field perpendicular to the loop is changing at a rate of 5.0 mT/s, what is the current in the loop?arrow_forwardAn election moves through a uniform electric field E = (2.50i + 5.00j) V/m and a uniform magnetic field B = 0.400k T. Determine the acceleration of the electron when it has a velocity v = 10.0i m/s.arrow_forward
- A magnetic field directed into the page changes with time according to B = 0.030 0t2 + 1.40, where B is in teslas and t is in seconds. The field has a circular cross section of radius R = 2.50 cm (see Fig. P23.28). When t = 3.00 s and r2 = 0.020 0 m, what are (a) the magnitude and (b) the direction of the electric field at point P2?arrow_forwardDesign a current loop that, when rotated in a uniform magnetic field of strength 0.10 T, will produce an emf =0 sin t. where 0=110V and 0=110V .arrow_forwardA circular loop of wire with a radius of 4.0 cm is in a uniform magnetic field of magnitude 0.060 T. The plane of the loop is perpendicular to the direction of the magnetic field. In a time interval of 0.50 s, the magnetic field changes to the opposite direction with a magnitude of 0.040 T. What is the magnitude of the average emf induced in the loop? (a) 0.20 V (b) 0.025 V (c) 5.0 mV (d) 1.0 mV (e) 0.20 mVarrow_forward
- A circular loop of wire of resistance R = 0.500 and radius r = 8.00 cm is in a uniform magnetic field directed out of the page as in Figure P31.54. If a clockwise current of I = 2.50 mA is induced in the loop, (a) is the magnetic field increasing or decreasing in time? (b) Find the rate at which the field is changing with time. Figure P31.54arrow_forwardA wire is bent in the form of a square loop with sides of length L (Fig. P30.24). If a steady current I flows in the loop, determine the magnitude of the magnetic field at point P in the center of the square. FIGURE P30.24arrow_forwardThe homopolar generator, also called the Faraday disk, is a low-voltage, high-current electric generator. It consists of a rotating conducting disk with one stationary brush (a sliding electrical contact) at its axle and another at a point on its circumference as shown in Figure P23.21. A uniform magnetic field is applied perpendicular to the plane of the disk. Assume the field is 0.900 T, the angular speed is 3.20 103 rev/min, and the radius of the disk is 0.400 m. Find the emf generated between the brushes. When superconducting coils are used to produce a large magnetic field, a homopolar generator can have a power output of several megawatts. Such a generator is useful, for example, in purifying metals by electrolysis. If a voltage is applied to the output terminals of the generator, it runs in reverse as a homopolar motor capable of providing great torque, useful in ship propulsion.arrow_forward
- A solenoid has a ferromagnetic core, n = 1000 turns per meter, and I = 5.0 A. If B inside the solenoid is 2.0 T, what is for the core material?arrow_forwardReview. Figure P31.31 shows a bar of mass m = 0.200 kg that can slide without friction on a pair of rails separated by a distance = 1.20 m and located on an inclined plane that makes an angle = 25.0 with respect to the ground. The resistance of the resistor is R = 1.00 and a uniform magnetic field of magnitude B = 0.500 T is directed downward, perpendicular to the ground, over the entire region through which the bar moves. With what constant speed v does the bar slide along the rails?arrow_forwardAssume the region to the right of a certain plane contains a uniform magnetic field of magnitude 1.00 mT and the field is zero in the region to the left of the plane as shown in Figure P22.71. An electron, originally traveling perpendicular to the boundary plane, passes into the region of the field. (a) Determine the time interval required for the electron to leave the field-filled region, noting that the electrons path is a semicircle. (b) Assuming the maximum depth of penetration into the field is 2.00 cm, find the kinetic energy of the electron.arrow_forward
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