Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN: 9781133939146
Author: Katz, Debora M.
Publisher: Cengage Learning
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Chapter 31, Problem 55PQ
To determine
The nature of magnitude of the magnetic field at a location between the plates at a distance
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Physics for Scientists and Engineers: Foundations and Connections
Ch. 31.1 - CASE STUDY Measuring the Magnetic Field Near a Bar...Ch. 31.2 - Prob. 31.2CECh. 31.3 - Prob. 31.3CECh. 31.4 - Magnetic Field Due to a Long, Straight Wire In a...Ch. 31.5 - Prob. 31.5CECh. 31 - Review Suppose you want to use a small, positively...Ch. 31 - Prob. 3PQCh. 31 - Prob. 5PQCh. 31 - Plot the deflection angle of the compass needle in...Ch. 31 - Prob. 7PQ
Ch. 31 - Prob. 8PQCh. 31 - Prob. 9PQCh. 31 - What is the Earths magnetic flux through a. a...Ch. 31 - Prob. 11PQCh. 31 - Prob. 12PQCh. 31 - Figure P31.13 shows a uniform magnetic field. a....Ch. 31 - Prob. 14PQCh. 31 - Figure P31.13 shows a uniform magnetic field. a....Ch. 31 - Prob. 16PQCh. 31 - Prob. 17PQCh. 31 - Prob. 18PQCh. 31 - Prob. 19PQCh. 31 - Prob. 20PQCh. 31 - Prob. 21PQCh. 31 - Prob. 22PQCh. 31 - A steady current I flows through a wire of radius...Ch. 31 - Prob. 24PQCh. 31 - A magnetic field of 4.00 T is measured at a...Ch. 31 - Prob. 27PQCh. 31 - Sketch a plot of the magnitude of the magnetic...Ch. 31 - Prob. 29PQCh. 31 - Prob. 31PQCh. 31 - Prob. 32PQCh. 31 - Prob. 33PQCh. 31 - Prob. 34PQCh. 31 - Prob. 35PQCh. 31 - Prob. 36PQCh. 31 - Prob. 37PQCh. 31 - Prob. 38PQCh. 31 - Prob. 39PQCh. 31 - Prob. 40PQCh. 31 - Prob. 41PQCh. 31 - Prob. 42PQCh. 31 - Prob. 43PQCh. 31 - Prob. 44PQCh. 31 - Prob. 45PQCh. 31 - Prob. 46PQCh. 31 - Prob. 47PQCh. 31 - Prob. 48PQCh. 31 - Prob. 49PQCh. 31 - Prob. 50PQCh. 31 - Prob. 51PQCh. 31 - Prob. 52PQCh. 31 - Prob. 53PQCh. 31 - Prob. 54PQCh. 31 - Prob. 55PQCh. 31 - Prob. 58PQCh. 31 - A uniform magnetic field B=5.44104iT passes...Ch. 31 - Prob. 60PQCh. 31 - A solenoid 1.25 m long with a current of 5.00 A in...Ch. 31 - Prob. 63PQCh. 31 - Prob. 64PQCh. 31 - Prob. 65PQCh. 31 - Prob. 66PQCh. 31 - Prob. 67PQCh. 31 - Prob. 68PQCh. 31 - Prob. 69PQCh. 31 - Prob. 70PQCh. 31 - Prob. 71PQCh. 31 - Prob. 72PQCh. 31 - Prob. 74PQCh. 31 - Prob. 75PQ
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- Review. In Figure P30.42, a uniform magnetic field decreases at a constant rate dB/dt = K, where K is a positive constant. A circular loop of wire of radius a containing a resistance R and a capacitance C is placed with its plane normal to the field. (a) Find the charge Q on the capacitor when it is fully charged. (b) Which plate, upper or lower, is at the higher potential? (c) Discuss the force that causes the separation of charges. Figure P30.42arrow_forwardA metal bar of length 25 cm is placed perpendicular to a uniform magnetic field of strength 3 T. (a) Determine the induced emf between the ends of the rod when it is not moving, (b) Determine the emf when the rod is moving perpendicular to its Length and magnetic field with a speed of 50 cm/s.arrow_forwardYou wish to move a rectangular loop of wire into a region of uniform magnetic field at a given speed so as to induce an emf in the loop. The plane of the loop must remain perpendicular to the magnetic field lines. In which orientation should you hold the loop while you move it into the region of magnetic field so as to generate the largest emf? (a) with the long dimension of the loop parallel to the velocity vector (b) with the short dimension of the loop parallel to the velocity vector (c) either way because the emf is the same regardless of orientationarrow_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_forwardSuppose a uniform magnetic field is perpendicular to the 81211-in. page of your homework and a rectangular metal loop lies on the page. The loops sides line up with the edges of the page. The magnetic field is changing with time as described by B = 3.75 103 t, where B is in teslas and t is in seconds. a. Is the magnetic field increasing or decreasing? b. Find the magnitude of the emf induced in the loop.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_forward
- An instrument based on induced emf has been used to measure projectile speeds up to 6 km/s. A small magnet is imbedded in the projectile as shown in Figure P23.2. The projectile passes through two coils separated by a distance d. As the projectile passes through each coil, a pulse of emf is induced in the coil. The time interval between pulses can be measured accurately with an oscilloscope, and thus the speed can be determined. (a) Sketch a graph of V versus t for the arrangement shown. Consider a current that flows counterclockwise as viewed from the starting point of the projectile as positive. On your graph, indicate which pulse is from coil 1 and which is from coil 2. (b) If the pulse separation is 2.40 ms and d = 1.50 m, what is the projectile speed? Figure P23.2arrow_forwardAil electron is moving at a speed of 1.0 104 in/s in a circular path of radius 2.0 cm inside a solenoid. The magnetic field of the solenoid is perpendicular to the plane of the electrons path. Find (a) the strength of the magnetic field inside the solenoid and (b) the current in the solenoid if it has 25 turns per centimeter.arrow_forwardThe magnetic field through a square loop of wire with sides of length 3.00 cm changes with time as shown in Figure P32.8, where the sign indicates the direction of the field relative to the axis of the loop. Plot the emf induced in the loop versus time. FIGURE P32.8arrow_forward
- Figure P30.41 shows a compact, circular coil with 220 turns and radius 12.0 cm immersed in a uniform magnetic field parallel to the axis of the coil. The rate of change of the field has the constant magnitude 20.0 mT/s. (a) What additional information is necessary to determine whether the coil is carrying clockwise or counterclockwise current? (b) The coil overheats if more than 160 W of power is delivered to it. What resistance would the coil have at this critical point? (c) To run cooler, should it have lower resistance or higher resistance? Figure P30.41arrow_forwardA 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 small, circular washer of radius a = 0.500 cm is held directly below a long, straight wire carrying a current of I = 10.0 A. The washer is located h = 0.500 m above the top of a table (Fig. P31.69). Assume the magnetic Held is nearly constant over the area of the washer and equal to the magnetic field at the center of the washer. (a) If the washer is dropped from rest, what is the magnitude of the average induced emf in the washer over the time interval between its release and the moment it hits the tabletop? (b) What is the direction of the induced current in the washer?arrow_forward
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What is Electromagnetic Induction? | Faraday's Laws and Lenz Law | iKen | iKen Edu | iKen App; Author: Iken Edu;https://www.youtube.com/watch?v=3HyORmBip-w;License: Standard YouTube License, CC-BY