Physics for Scientists and Engineers: A Strategic Approach, Vol. 1 (Chs 1-21) (4th Edition)
4th Edition
ISBN: 9780134110684
Author: Randall D. Knight (Professor Emeritus)
Publisher: PEARSON
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Chapter 30, Problem 63EAP
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The magnetic field at the earth’s surface can vary in response to solar activity. During one intense solar storm, the vertical component of the magnetic field changed by 2.8 μT per minute, causing voltage spikes in large loops of the power grid that knocked out power in parts of Canada. What emf is induced in a square 100 km on a side by this rate of change of field?
A 2800-turn circular coil of wire has an area of 2.270 x 10-2 m2. It is placed with its axis along the direction of the Earth's magnetic field. Assume that the magnitude of the magnetic field of the earth at that location to be 61 x 10-6 T.
a) What isthe magnitude of the voltage induced in the coil if you can flip the coil by 180° in 0.185seconds? Provide the answer in Volts.
b) What is the magnitude of the voltage induced in the coil if you can flip the coil by 90° in 0.185seconds? Provide the answer in Volts.
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A rectangular loop of area A=0.160 m2 is placed in a region where the magnetic field is perpendicular to the plane of the
loop. The magnitude of the field is allowed to vary in time according to B=0.384e 2, where B is in teslas and t is in
seconds. What is the value for induced emf ( in units of mV) at t= 4.5 s?
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O A. 6.48
ОВ. 2.09
OC. 4.01
OD. 1.70
OE. 3.24
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Chapter 30 Solutions
Physics for Scientists and Engineers: A Strategic Approach, Vol. 1 (Chs 1-21) (4th Edition)
Ch. 30 - Prob. 1CQCh. 30 - You want to insert a loop of copper wire between...Ch. 30 - A vertical, rectangular loop of copper wire is...Ch. 30 - Does the loop of wire in FIGURE Q30.4 have a...Ch. 30 - s5. The two loops of wire in FIGURE Q30.5 are...Ch. 30 - FIGURE Q30.6 shows a bar magnet being pushed...Ch. 30 - A bar magnet is pushed toward a loop of wire as...Ch. 30 - FIGURE Q30.8 shows a bar magnet. a coil of wire,...Ch. 30 - Prob. 9CQCh. 30 - An inductor with a 2.0 A current stores energy. At...
Ch. 30 - Prob. 11CQCh. 30 - Prob. 12CQCh. 30 - Rank in order, from largest to smallest, the three...Ch. 30 - For the circuit of FIGURE Q30.14: a. What is the...Ch. 30 - The earth’s magnetic field strength is 5.0105T ....Ch. 30 - A potential difference of 0.050 V is developed...Ch. 30 - A 10 -cm-long wire is pulled along a U-shaped...Ch. 30 - What is the magnetic flux through the loop shown...Ch. 30 - FIGURE EX30.5 shows a 10cm10cm square bent at a 90...Ch. 30 - Prob. 6EAPCh. 30 - Prob. 7EAPCh. 30 - FIGURE EX30.8 shows a 2.0 -cm-diameter solenoid...Ch. 30 - Prob. 9EAPCh. 30 - 10. A solenoid is wound as shown in FIGURE...Ch. 30 - 11. The metal equilateral triangle in FIGURE...Ch. 30 - The current in the solenoid of FIGURE EX3O.12 is...Ch. 30 - The loop in FIGURE EX30.13 is being pushed into...Ch. 30 - FIGURE EX30.14 shows a 10-cm-diameter loop in...Ch. 30 - Prob. 15EAPCh. 30 - 16. A -turn coil of wire cm in diameter is in a...Ch. 30 - A 5.0 -cm-diameter coil has 20 turns and a...Ch. 30 - FIGURE EX30.18 shows the current as a function of...Ch. 30 - The magnetic field in FIGURE EX30.19 is decreasing...Ch. 30 - The magnetic field inside a -cm-diameter solenoid...Ch. 30 - Scientists studying an anomalous magnetic field...Ch. 30 - Prob. 22EAPCh. 30 - Prob. 23EAPCh. 30 - Prob. 24EAPCh. 30 - Prob. 25EAPCh. 30 - Prob. 26EAPCh. 30 - How much energy is stored in a -cm-diameter,...Ch. 30 - MRI (magnetic resonance imaging) is a medical...Ch. 30 - Prob. 29EAPCh. 30 - Prob. 30EAPCh. 30 - Prob. 31EAPCh. 30 - Prob. 32EAPCh. 30 - Prob. 33EAPCh. 30 - Prob. 34EAPCh. 30 - At t=0 s, the current in the circuit in FIGURE...Ch. 30 - The switch in FIGURE EX3O.36 has been open for a...Ch. 30 - Prob. 37EAPCh. 30 - Prob. 38EAPCh. 30 - Prob. 39EAPCh. 30 - Prob. 40EAPCh. 30 - A 10cm10cm square loop lies in the xy-plane. The...Ch. 30 - A spherical balloon with a volume of L is in a mT...Ch. 30 - Prob. 43EAPCh. 30 - Prob. 44EAPCh. 30 - Prob. 45EAPCh. 30 - FIGURE P30.46 shows a 4.0-cm-diameter loop with...Ch. 30 - Prob. 47EAPCh. 30 - Prob. 48EAPCh. 30 - Prob. 49EAPCh. 30 - Prob. 50EAPCh. 30 - Prob. 51EAPCh. 30 - Prob. 52EAPCh. 30 - Prob. 53EAPCh. 30 - Prob. 54EAPCh. 30 - Prob. 55EAPCh. 30 - Your camping buddy has an idea for a light to go...Ch. 30 - 57. The -wide, zero-resistance slide wire shown...Ch. 30 - ]58. You’ve decided to make the magnetic...Ch. 30 - FIGURE P30.59 shows a U-shaped conducting rail...Ch. 30 - Prob. 60EAPCh. 30 - Prob. 61EAPCh. 30 - Prob. 62EAPCh. 30 - Equation 30.26 is an expression for the induced...Ch. 30 - Prob. 64EAPCh. 30 - One possible concern with MRI (see Exercise 28) is...Ch. 30 - FIGURE P30.66 shows the current through a 10mH...Ch. 30 - Prob. 67EAPCh. 30 - Prob. 68EAPCh. 30 - Prob. 69EAPCh. 30 - Prob. 70EAPCh. 30 - An LC circuit is built with a inductor and an...Ch. 30 - Prob. 72EAPCh. 30 - For your final exam in electronics, you’re asked...Ch. 30 - The inductor in FIGURE P30.74 is a -cm-long, -cm-...Ch. 30 - The capacitor in FIGURE P30.75 is initially...Ch. 30 - The switch in FIGURE P30.76 has been open for a...Ch. 30 - 77. The switch in FIGURE P30.77 has been open for...Ch. 30 - Prob. 78EAPCh. 30 - Prob. 79EAPCh. 30 - Prob. 80EAPCh. 30 - In recent years it has been possible to buy a 1.0F...Ch. 30 - Prob. 82EAPCh. 30 - Prob. 83EAPCh. 30 - Prob. 84EAPCh. 30 - A 2.0 -cm-diameter solenoid is wrapped with 1000...Ch. 30 - High-frequency signals are often transmitted along...
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- A parallel-plate capacitor with plate separation d is connected to a source of emf that places a time-dependent voltage V(t) across its circular plates of radius r0and area (a) Write an expression for the time rate of change of energy inside the capacitor in terms of V(t) and dV(t)/ dt. (b) Assuming that V(t) is increasing with time, identify the directions of the elecuic field lines inside the capacitor and of the magnetic field lines at the edge of the region between the plates, and then the direction of the Poynting vector S at this location. (c) Obtain expressions for the time dependence of E(t), for B(t) from the displacement current, and for the magnitude of the Poynting vector at the edge of the region between the plates. (d) From S , obtain an expression In terms of ‘(t) and dV(t)/dt for the rate at which electromagnetic field energy the region between the plates. (e) Compare the results of pails (a) and (d) and explain the relationship between them.arrow_forwardA uniform magnetic field B=5.44104iT passes through a closed surface with a slanted top as shown in Figure P31.59. a. Given the dimensions and orientation of the closed surface shown, what is the magnetic flux through the slanted top of the surface? b. What is the net magnetic flux through the entire closed surface?arrow_forwardA coil of area 0.100 m2 is rotating at 60.0 rev/s with the axis of rotation perpendicular to a 0.200-T magnetic field. (a) If the coil has 1 000 turns, what is the maximum emf generated in it? (b) What is the orientation of the coil with respect to the magnetic field when the maximum induced voltage occurs?arrow_forward
- A time-dependent uniform magnetic field of magnitude B(t) is confined in a cylindrical region of radius R. A conducting rod of length 2D is placed in the region, as shown below. Show that the emf between the ends of the rod is given by dBdtDR2D2 . ( Hint: To find the between the ends, we need to integrate the electric field from one end to the other. To find the electric field, use Faraday’s law as “Ampere’s law for E”.)arrow_forwardA solenoid with n turns per unit length has radius a. It is connected to a power supply that drives a current increasing linearly with time as I(t) = Ct, where C is a constant. Assume the magnetic field is uniform inside the solenoid. a. Find an expression for the magnetic field inside the solenoid as a function of time, and determine the magnitude of the induced electric field just inside the solenoid. b. What is the magnitude of the electric field induced just inside a solenoid that has exactly 10 turns/cm and a radius of 1.5 cm if the current increases at a rate of 0.50 A/s?arrow_forwardSuppose the parallel-plate capacitor shown below is accumulating charge at a rate of 0.010 C’s. What is the induced magnetic field at a distance of 10 cm from the capacitator?arrow_forward
- A 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_forwardIf electric and magnetic field strengths vary sinusoidally in time at frequency 1.00 GHz, being zero at t=0, then E=E0sin2ft. (a) When are the field strengths next equal to zero? (b) 4Jhen do they reach their most negative value? (c) How much time is needed for them to complete one cycle?arrow_forwardThe square armature coil of an alternating current generator has 200 turns and is 20.0 cm on side. When it rotates at 3600 rpm, its peak output voltage is 120 V. (a) Wliat is the frequency' of the output voltage? (b) What is the strength of the magnetic field in which the coil is turning?arrow_forward
- A single-turn circular loop of wire of radius 50 mm lies in a plane perpendicular to a spatially uniform magnetic field. During a 0.10-s time interval, the magnitude of the field Increases uniformly from 200 to 300 mT. (a) Determine the emf Induced in the ioop. (b) If the magnetic field is directed out of the page, what is the direction of the cun-ent induced in the loop?arrow_forwardA 200-turn flat coil of wire 30.0 cm in diameter acts as an antenna for FM radio at a frequency of 100 MHz. The magnetic field of the incoming electromagnetic wave is perpendicular to the coil and has a maximum strength of 1.001012T . (a) What power is incident on the coil? (b) What average emf is induced in the coil over one-fourth of a cycle? (c) If the radio receiver has an inductance of 2.50H, what capacitance must it have to resonate at 100 MHz?arrow_forwardA radio station broadcasts at a frequency of 760 kHz. At a receiver some distance from the antenna, the maximum magnetic field of the electromagnetic wave detected is 2.151011T . (a) What is the maximum electric field? (b) What is the wavelength of the electromagnetic wave?arrow_forward
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