Physics for Scientists and Engineers
10th Edition
ISBN: 9781337553278
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
expand_more
expand_more
format_list_bulleted
Videos
Textbook Question
Chapter 30, Problem 45AP
A long, straight wire carries a current given by I = Imax sin (ωt + ϕ). The wire lies in the plane of a rectangular coil of N turns of wire as shown in Figure P30.45. The quantities Imax, ω, and ϕ are all constants. Assume Imax = 50.0 A, ω = 200π s−1, N = 100, h = ω = 5.00 cm, and L = 20.0 cm. Determine the emf induced in the coil by the magnetic field created by the current in the straight wire.
Figure P30.45
Expert Solution & Answer
Trending nowThis is a popular solution!
Students have asked these similar questions
A conducting rod moves with a constant velocity in a direction perpendicular to a long, straight wire carrying a current I as shown in Figure P30.40. Show that the magnitude of the emf generated between the ends of the rod isChapter 30, Problem 40AP, A conducting rod moves with a constant velocity in a direction perpendicular to a long, straight , example 1In this case, note that the emf decreases with increasing r as you might expect.Figure P30.40Chapter 30, Problem 40AP, A conducting rod moves with a constant velocity in a perpendicular to a long, straight , example 2
A long solenoid has n = 400 turns per meter and carries a current given by I = 30.0(1 −e−1.60t), where I is in amperes and t is in seconds. Inside the solenoid and coaxial with it is a coil that has a radius of R = 6.00 cm and consists of a total of N = 250 turns of fine wire (Fig. P30.4). What emf is induced in the coil by the changing current?
Consider a coil with an area of 0.1 m2 and 17 turns placed in a magnetic field that is perpendicular to the plane of the coil. The magnitude of the field varies with time as B=0.52*exp(-t/2), where B is in teslas and t is in seconds. What is the value of the generated EMF at t=2.41 s?
Chapter 30 Solutions
Physics for Scientists and Engineers
Ch. 30.1 - A circular loop of wire is held in a uniform...Ch. 30.2 - In Figure 30.8a, a given applied force of...Ch. 30.3 - Figure 30.12 Figure 30.12 shows a circular loop of...Ch. 30.5 - Prob. 30.4QQCh. 30 - A circular loop of wire of radius 12.0 cm is...Ch. 30 - An instrument based on induced emf has been used...Ch. 30 - Scientific work is currently under way to...Ch. 30 - A long solenoid has n = 400 turns per meter and...Ch. 30 - An aluminum ring of radius r1 = 5.00 cm and...Ch. 30 - An aluminum ring of radius r1 and resistance R is...
Ch. 30 - A coil formed by wrapping 50 turns of wire in the...Ch. 30 - When a wire carries an AC current with a known...Ch. 30 - A toroid having a rectangular cross section (a =...Ch. 30 - A small airplane with a wingspan of 14.0 m is...Ch. 30 - A helicopter (Fig. P30.11) has blades of length...Ch. 30 - A 2.00-m length of wire is held in an eastwest...Ch. 30 - A metal rod of mass m slides without friction...Ch. 30 - Prob. 14PCh. 30 - Prob. 15PCh. 30 - An astronaut is connected to her spacecraft by a...Ch. 30 - You are working for a company that manufactures...Ch. 30 - You are working in a laboratory that uses motional...Ch. 30 - You are working in a factory that produces long...Ch. 30 - You are working in a factory that produces long...Ch. 30 - Within the green dashed circle show in Figure...Ch. 30 - Prob. 22PCh. 30 - Prob. 23PCh. 30 - Figure P30.24 (page 820) is a graph of the induced...Ch. 30 - The rotating loop in an AC generator is a square...Ch. 30 - In Figure P30.26, a semicircular conductor of...Ch. 30 - Prob. 27PCh. 30 - Suppose you wrap wire onto the core from a roll of...Ch. 30 - A rectangular loop of area A = 0.160 m2 is placed...Ch. 30 - A rectangular loop of area A is placed in a region...Ch. 30 - A circular coil enclosing an area of 100 cm2 is...Ch. 30 - Consider the apparatus shown in Figure P30.32: a...Ch. 30 - A guitars steel string vibrates (see Fig. 30.5)....Ch. 30 - Why is the following situation impossible? A...Ch. 30 - A conducting rod of length = 35.0 cm is free to...Ch. 30 - Magnetic field values are often determined by...Ch. 30 - The plane of a square loop of wire with edge...Ch. 30 - In Figure P30.38, the rolling axle, 1.50 m long,...Ch. 30 - Figure P30.39 shows a stationary conductor whose...Ch. 30 - Prob. 40APCh. 30 - Figure P30.41 shows a compact, circular coil with...Ch. 30 - Review. In Figure P30.42, a uniform magnetic field...Ch. 30 - An N-turn square coil with side and resistance R...Ch. 30 - A conducting rod of length moves with velocity v...Ch. 30 - A long, straight wire carries a current given by I...Ch. 30 - A rectangular loop of dimensions and w moves with...Ch. 30 - A thin wire = 30.0 cm long is held parallel to...Ch. 30 - An induction furnace uses electromagnetic...Ch. 30 - Prob. 49CPCh. 30 - A betatron is a device that accelerates electrons...Ch. 30 - Review. The bar of mass m in Figure P30.51 is...
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.Similar questions
- 30. A short wire runs along an x axis from x = a to x = -a (Figure P30.30). At t = 0, there is a small sphere carry- ing charge +9o at x = a and a small sphere carrying charge -9o at x = -a. As the spheres discharge and a current is established in the wire, show that, for t>0, the generalized form of Ampère's law (Eq. 30.13) and the Biot-Savart law (Eq. 28.12) give the same result for the magnitude of the mag- netic field a distance b up the y axis. (Hint: Obtain the elec- tric flux through a circular disk in the yz plane, centered at the origin. Because the electric field is not constant over the surface of the disk, you must divide the disk into a nested set of rings of various radii and integrate. A representative ring should have radius r and radial extent dr.) •.. Figure P30.30 b -90arrow_forwardμ_0 = 4π×10^(−7) T.m/Aarrow_forward29.57 The long, straight wire shown in Fig. P29.57a carries constant current I. A metal bar with length L is moving at constant velocity v, as shown in the figure. Point a is a distance d from the wire. (a) Calculate the emf induced in the bar. (b) Which point, a or b, is at higher potential? (c) If the bar is replaced by a rectangular wire loop of resistance R (Fig. P29.57b), what is the magnitude of the current induced in the loop? Hint: (b) and (c) are conceptual questions.arrow_forward
- A bar of mass m and resistance R slides without friction in a horizontal plane, moving on parallel rails as shown in Figure P30.49. The rails are separated by a distance d. A battery that maintains a constant emf E is connected between the rails, and a constant magnetic field B is directed perpendicularly out of the page. Assuming the bar starts from rest attime t = 0, show that at time t it moves with a speed.arrow_forward☺☺ 000000000 What is the length of the rod? m ·V 000 500 50000 A rod is moving from left to right toward a resistor along two parallel conducting rails. The entire loop is inside a magnetic field oriented out of the page. The rod is moving at 54, the magnetic field has a magnitude of 4.3 T, and the induced emf in the loop is 12.5 V. The resistor has a resistance of 61 Q. What is the current through the rod? I = A R What is the magnitude of the Lorentz Force on the rod? F = Narrow_forwardA metal rod is forced to move with constant velocity = 65.0 cm/s along two parallel metal rails, connected with a strip of metal at one end, as shown in the figure. A magnetic field B = 0.25 T points out of the page. The rails are seperated by 35.0 cm.What emf is generated? If the rod has a resistance of 18.0 Ω and the rails and connectors have negligible resistance, what is the current in the rod? At what rate is energy being tranferred to thermal energy?arrow_forward
- A circular coil of wire with 450 turns and a radius of 8.5 cm is placed horizontally on a table. A uniform magnetic field pointing directly up is slowly turned on, such that the strength of the magnetic field can be expressed as a function of time as: B(t) = 0.03 (T/s2) x t2. What is the total EMF in the coil as a function of time?arrow_forwardAn L = 47.0 ncm wire is moving to the right at a speed of v = 6.50 m/s across two parallel wire rails that are connected on the left side, as shown in the figure. The whole apparatus is immersed in a uniform magnetic field that has a magnitude of B = 0.910 T and is directed into the screen. What is the emf induced in the wire? If the moving wire and the rails have a combined total resistance of 1.15 Ohms, what applied force would be required to keep the wire moving at the given velocity? Assume that there is no friction between the moving wire and the rails.arrow_forwardAn electric current flows through a coil with an inductance of 15.3 mH. The graph shows the dependence of the current I on time t. What is the energy of the magnetic field (in mJ) stored in the coil at time t = 3 ms? 1, A 1 15 0 1, MC Answer: Next pagearrow_forward
- As seen in the figure, a square loop of wire has sides of length 1.9 cm. A magnetic field is directed out of the page; its magnitude is given by B = 5.0t2y, where B is in teslas, t is in seconds, and y is in meters. At t = 2.1 s, what are the (a) magnitude and (b) direction of emf induced in the loop? Please answer in typing format solution please only typing yarrow_forward49. A bar of mass m and resistance R slides without friction in a horizontal plane, moving on parallel rails as shown in Figure P30.49. The rails are separated by a distance d. A battery that maintains a constant emf ɛ is connected between the rails, and a constant magnetic field B is directed perpendicularly out of the page. Assuming the bar starts from rest at time t = 0, show that at time t it moves with a speed - B²d²t/mR U = Bd 1-e 'out Figure P30.49arrow_forwardI need help with h, i, and j.arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Physics for Scientists and EngineersPhysicsISBN:9781337553278Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
Physics for Scientists and Engineers with Modern ...PhysicsISBN:9781337553292Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
Principles of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
Physics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage Learning
Physics for Scientists and Engineers
Physics
ISBN:9781337553278
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Physics for Scientists and Engineers with Modern ...
Physics
ISBN:9781337553292
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Principles of Physics: A Calculus-Based Text
Physics
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Physics for Scientists and Engineers: Foundations...
Physics
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Cengage Learning
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