Essential University Physics (3rd Edition)
3rd Edition
ISBN: 9780134202709
Author: Richard Wolfson
Publisher: PEARSON
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Chapter 27, Problem 43P
To determine
The induced current in the
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the spiral shown below is immersed in a magnetic field of B = (0.02*t) ax Wb/m² (that means the magnetic goes at X diferection and positively). If the side DC of this spiral "cross" the flux lines in a frequency of 50 Hz, being the spiral in the plane XY when t = 0, find:
a) The induced voltage in t = 1ms;b) The induced current in t = 3ms.
A flat coi has a 6.5 cm radius, 34 turns and has a total resistance of 750 micro olhms. If htis coil sits in the xy plane in a magnetic field with a z component that decreases at a rate of 2.7 T/s (dB/dt = -2.7 T/s), then waht is the magnitude of the induced current in the coil? Also, does the induced current clockwise or counterclockwise when viewed from above (+z)?
. A solenoid has radius 5.80 mm, length 11.0 cm, 5000 turns, and is placed with its axis of symmetry along the x-axis, through the origin. A vector normal to the opening of the solenoid points to the right. We measure the resistance of the solenoid to be 14.0 Ω. The solenoid is in a region where the temperature is 49.0°C and initially, there is an external magnetic field of 0.30 T in the +x direction. Then the magnetic field is turned off and drops to 0 T over 50.0 milliseconds
a. What is the magnitude of the average induced emf during the 50.0 milliseconds while the magnetic field magnitude decreases to 0?
b. What is the direction of the induced current, as viewed from the right? Answer clockwise, counterclockwise, or zero and show work or explain in words.
c. What is the magnitude of the induced current?
d. What is the magnitude and direction of the induced magnetic field?
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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- A flat loop of wire consisting of a single turn of cross-sectional area 8.00 cm2 is perpendicular to a magnetic field that increases uniformly in magnitude from 0.500 T to 2.50 T in 1.00 s. What is the resulting induced current if the loop has a resistance of 2.00 ?arrow_forwardA conducting single-turn circular loop with a total resistance of 5.00 is placed in a time-varying magnetic field that produces a magnetic flux through the loop given by B = a + bt2 ct3, where a = 4.00 Wb, b = 11.0 Wb/s2, and c = 6.00 Wb/s3. B is in webers, and t is in seconds. What is the maximum current induced in the loop during the time interval t = 0 to t = 3.50 s?arrow_forwardThe conducting rod shown in the accompanying figure moves along parallel metal rails that are 25-cm apart. The system is in a uniform magnetic field of strength 0.75 T, which is directed into the page. The resistances of the rod and the rails are negligible, but the section PQ has a resistance of 0.25 . (a) What is the emf (including its sense) induced in the rod when it is moving to tire right with a speed of 5.0 m/s? (b) What force is required to keep the rod moving at this speed? (c) What is the rate at which work is done by this force? (d) What is the power dissipated in the resistor?arrow_forward
- The magnetic flux through a metal ring varies with time t according to (B = at3 bt2, where (B is in webers, a = 6.00 s3, b = 18.0 s2, and t is in seconds. The resistance of the ring is 3.00 . For the interval from t = 0 to t = 2.00 s, determine the maximum current induced in the ring.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 flat, square coil of 20 turns that has sides of length 15.0 cm is rotating in a magnetic field of strength 0.050 T. If tlie maximum emf produced in die coil is 30.0 mV, what is the angular velocity of the coil?arrow_forward
- A square loop with side length L, mass M, and resistance R lies in the xy plane. A magnetic field B = B0(y/L) k is present in the region of the space near the loop. Determine the magnitude and direction of the induced current in the loop as the loop starts moving at velocity v = B0(y/L) j.arrow_forwardA thin conducting bar (60.0 cm long) aligned in the positive y direction is moving with velocity v=(1.25m/s)i in a region with a spatially uniform 0.400-T magnetic field directed at an angle of 36.0 above the xy plane. a. What is the magnitude of the emf induced along the length of the moving bar? b. Which end of the bar is positively charged?arrow_forwardTwo frictionless conducting rails separated by l = 55.0 cm are connected through a 2.00- resistor, and the circuit is completed by a bar that is free to slide on the rails (Fig. P32.71). A uniform magnetic field of 5.00 T directed out of the page permeates the region, a. What is the magnitude of the force Fp that must be applied so that the bar moves with a constant speed of 1.25 m/s to the right? b. What is the rate at which energy is dissipated through the 2.00- resistor in the circuit?arrow_forward
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