Fundamentals of Physics Extended
10th Edition
ISBN: 9781118230725
Author: David Halliday, Robert Resnick, Jearl Walker
Publisher: Wiley, John & Sons, Incorporated
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Textbook Question
Chapter 30, Problem 6P
Figure 30-37a shows a circuit consisting of an ideal battery with emf ℰ = 6.00 μV, a resistance R, and a small wire loop of area 5.0 cm2. For the time interval t = 10 s to t = 20 s, an external magnetic field is set up throughout the loop. The field is uniform, its direction is into the page in Fig. 30-37a, and the field magnitude is given by B = at, where B is in teslas, a is a constant, and t is in seconds. Figure 30-37b gives the current i in the circuit before, during, and after the external field is set up. The vertical axis scale is set by is = 2.0 mA. Find the constant a in the equation for the field magnitude.
Figure 30-37 Problem 6.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
HRW TP31-15P A square wire loop with 2.99 m sides is perpendicular to a uniform magnetic field, with half the area of the loop in the field as shown in Fig. 31-38. The loop contains a 20.0 V battery with negligible internal resistance. If the magnitude of the field varies with time according to B = 0.4110 0.780t, with B in teslas and t in
seconds, what is the net emf in the circuit and the direction of the current though the battery?
V
counterclockwise
O clockwise
B
20.0 V
Figure 31-38
A closely wound solenoid of 2000 turns has an axial length of 64 cm and a radius of 2.50 cm. When there is a current of 10.50 A in the solenoid, what is the flux density on the axis (a) at the center and (b) 12 cm away from the right end of the solenoid?
Problem 1: Figure shows a conducting loop consisting of a half-circle of
radius r = 0.20 m and three straight sections. The half circlelies in a
uniform magnetic field that is directed out of the page; the field
magnitude is given by B = 4.0ť² + 2.0t + 3.0, with B in teslas and t in
seconds. An ideal battery with emfat = 2.0 V is connected to the loop.
The resistance of the loop is 2.00 .
(a) What are the magnitude and direction of the emf ind induced around
the loop by field at t 10 s?
(b) What is the current in the loop at t 10 s?
d
0&ve
Chapter 30 Solutions
Fundamentals of Physics Extended
Ch. 30 - If the circular conductor in Fig. 30-21 undergoes...Ch. 30 - Prob. 2QCh. 30 - Prob. 3QCh. 30 - Prob. 4QCh. 30 - Prob. 5QCh. 30 - Prob. 6QCh. 30 - Prob. 7QCh. 30 - Prob. 8QCh. 30 - Prob. 9QCh. 30 - Prob. 10Q
Ch. 30 - Figure 30-31 shows three situations in which a...Ch. 30 - Figure 30-32 gives four situations in which we...Ch. 30 - Prob. 1PCh. 30 - A certain elastic conducting material is stretched...Ch. 30 - Prob. 3PCh. 30 - A wire loop of radius 12 cm and resistance 8.5 is...Ch. 30 - Prob. 5PCh. 30 - Figure 30-37a shows a circuit consisting of an...Ch. 30 - In Fig. 30-38, the magnetic flux through the loop...Ch. 30 - Prob. 8PCh. 30 - Prob. 9PCh. 30 - Prob. 10PCh. 30 - A rectangular coil of N turns and of length a and...Ch. 30 - Prob. 12PCh. 30 - Prob. 13PCh. 30 - GO In Fig. 30-42a, a uniform magnetic field B...Ch. 30 - GO A square wire loop with 2.00 m sides is...Ch. 30 - GO Figure 30-44a shows a wire that forms a...Ch. 30 - A small circular loop of area 2.00 cm2 is placed...Ch. 30 - Prob. 18PCh. 30 - ILW An electric generator contains a coil of 100...Ch. 30 - At a certain place, Earths magnetic field has...Ch. 30 - Prob. 21PCh. 30 - A rectangular loop area = 0.15 m2 turns in a...Ch. 30 - SSM Figure 30-47 shows two parallel loops of wire...Ch. 30 - Prob. 24PCh. 30 - GO Two long, parallel copper wires of diameter 2.5...Ch. 30 - GO For the wire arrangement in Fig. 30-49, a =...Ch. 30 - ILW As seen in Fig. 30-50, a square loop of wire...Ch. 30 - Prob. 28PCh. 30 - Prob. 29PCh. 30 - Prob. 30PCh. 30 - Prob. 31PCh. 30 - A loop antenna of area 2.00 cm2 and resistance...Ch. 30 - GO Figure 30-54 shows a rod of length L = 10.0 cm...Ch. 30 - Prob. 34PCh. 30 - Prob. 35PCh. 30 - Prob. 36PCh. 30 - Prob. 37PCh. 30 - Prob. 38PCh. 30 - Prob. 39PCh. 30 - Prob. 40PCh. 30 - A circular coil has a 10.0 cm radius and consists...Ch. 30 - Prob. 42PCh. 30 - Prob. 43PCh. 30 - Prob. 44PCh. 30 - Prob. 45PCh. 30 - Prob. 46PCh. 30 - Inductors in series. Two inductors L1 and L2 are...Ch. 30 - Prob. 48PCh. 30 - Prob. 49PCh. 30 - Prob. 50PCh. 30 - ILW The current in an RL circuit drops from 1.0 A...Ch. 30 - Prob. 52PCh. 30 - Prob. 53PCh. 30 - Prob. 54PCh. 30 - Prob. 55PCh. 30 - Prob. 56PCh. 30 - In Fig. 30-65, R = 15 , L = 5.0 H, the ideal...Ch. 30 - Prob. 58PCh. 30 - Prob. 59PCh. 30 - Prob. 60PCh. 30 - Prob. 61PCh. 30 - A coil with an inductance of 2.0 H and a...Ch. 30 - Prob. 63PCh. 30 - Prob. 64PCh. 30 - Prob. 65PCh. 30 - A circular loop of wire 50 mm in radius carries a...Ch. 30 - Prob. 67PCh. 30 - Prob. 68PCh. 30 - ILW What must be the magnitude of a uniform...Ch. 30 - Prob. 70PCh. 30 - Prob. 71PCh. 30 - Prob. 72PCh. 30 - Prob. 73PCh. 30 - Prob. 74PCh. 30 - Prob. 75PCh. 30 - Prob. 76PCh. 30 - Prob. 77PCh. 30 - Prob. 78PCh. 30 - SSM In Fig. 30-71, the battery is ideal and = 10...Ch. 30 - Prob. 80PCh. 30 - Prob. 81PCh. 30 - A uniform magnetic field B is perpendicular to the...Ch. 30 - Prob. 83PCh. 30 - Prob. 84PCh. 30 - Prob. 85PCh. 30 - Prob. 86PCh. 30 - Prob. 87PCh. 30 - Prob. 88PCh. 30 - A coil with an inductance of 2.0 H and a...Ch. 30 - Prob. 90PCh. 30 - Prob. 91PCh. 30 - Prob. 92PCh. 30 - Prob. 93PCh. 30 - A long cylindrical solenoid with 100 turns/cm has...Ch. 30 - Prob. 95PCh. 30 - A square loop of wire is held in a uniform 0.24 T...Ch. 30 - Prob. 97PCh. 30 - The inductance of a closely wound coil is such...Ch. 30 - The magnetic field in the interstellar space of...Ch. 30 - Prob. 100PCh. 30 - A toroid has a 5.00 cm square cross section, an...
Additional Science Textbook Solutions
Find more solutions based on key concepts
One isomer of methamphetamine is the addictive illegal drug known as crank. Another isomer is a medicine for si...
Campbell Essential Biology (7th Edition)
16. Is it possible for an object to travel in air faster than its terminal speed? If not, why not? If so, expla...
College Physics: A Strategic Approach (3rd Edition)
A mixed culture of Escherichia coli and Penicillium chrysogenum is inoculated onto the following culture media....
Microbiology: An Introduction
Two statements which are always true for a system at equilibrium needs to be explain. Concept introduction: Whe...
Living By Chemistry: First Edition Textbook
57. Which elements are alkaline earth metals?
a. sodium
b. aluminum
c. calcium
d. lithium
Introductory Chemistry (6th Edition)
The pHactivity profile for glucose-6-phosphate isomerase indicates the participation of a group with a pKa = 6....
Organic Chemistry (8th Edition)
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
- 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_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_forwardA 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. Show that the magnitude of the emf between the ends of the rod is given by dB ε = D√R²-D² dt P₁1 B(t) 2D Rarrow_forward
- A uniform magnetic field of magnitude 0.70 T is directed perpendicular to the plane of a rectangular loop having dimensions 7.8 cm by 11 cm. Find the magnetic flux through the loop.arrow_forwardProblem 7: A square loop of side length a =3.6 cm is placed a distance b = 0.65 cm from a long wire carrying a current that varies with time at a constant rate, i.e. I(t) = Qt, a where Q = 3.4 A/s is a constant. Part (a) Find an expression for the magnetic field due to the wire as a function of timet at a distance r from the wire, in terms of a, b, Q, t, r, and fundamental constants. Expression : B(t) = Select from the variables below to write your expression. Note that all variables may not be required. B, y, Ho, T, 0, d, g, h, j, m, n, P, Q, r, t Part (b) What is the magnitude of the flux through the loop? Select the correct expression. SchematicChoice : HoQat In 27 HoQa In HOQat 1 1 In (b+a)2 h2 HoQa In 1 1 HoQat HOQat In In 6+ a Ф— (b+ a)² (b+a)2 12 2т h2 Part (c) If the loop has a resistance of 3.5 Q, how much induced current flows in the loop? Numeric : A numeric value is expected and not an expression. I = Part (d) In what direction does this current flow? MultipleChoice : 1)…arrow_forwardFigure (a) shows an element of length d, - 1.13 pm in a very long straight wire carrying current. The current in that element sets up a differential magnetic field d B at points in the surrounding space. Figure (b) gives the magnitude dB of the field for points 5.8 cm from the element, as a function of angle # between the wire and a straight line to the point. The vertical scale is set by dB, -61.7 pT. What is the magnitude of the magnetic field set up by the entire wire at perpendicular distance 5.8 cm from the wire? Number dB (pT) Units UT (a) @ (rad) (M) Wire Rarrow_forward
- a long, solid cylindrical conductor radius R=3.5cm carries a non uniform direction of symmetry axis f the wire. this current destiny varies with radical distance r from the axis as J= J0r3/R^2, where J0=1.5x10^5 A/m^3. use Amperes law to find the magnitude of the magnetic Felid at the radical distance l, R=2.0cm, inside the conductor. 9.8x10^-6 6.4x10^-6 4.9x10^-6 3.2x10^-6 2.5x10^-6arrow_forwardA uniform externally applied magnetic field is in the +z direction (B = Bk, with B positive) and B is increasing with time. A loop of wire in the x-y plane is in this field (the magnetic field is perpendicular to this loop); it has a total resistance R independent of the radius r of the loop. Which of the following statements is true? The magnitude of the current is proportional to the radius of the loop: I=αr, α a constant. The current at any time is proportional to the magnitude of the magnetic field at that time. The current induced in the wire will produce a magnetic field in the –z direction. None of a-c More than one of a-carrow_forwardxx x X *21 In Fig. 30-44, a stiff wire bent X x X a into a semicircle of radius a = 2.0 cm is rotated at constant angular speed 40 rev/s in a uniform 20 mT magnetic field. What are the (a) frequency and (b) amplitude of the emf induced in X X X X Ix the loop? R Fig. 30-44 Problem 21. X Xarrow_forward
- Figure (a) shows an element of length ds = 1.01 µm in a very long straight wire carrying current. The current in that element sets up a differential magnetic field d B at points in the surrounding space. Figure (b) gives the magnitude dB of the field for points 4.8 cm from the element, as a function of angle between the wire and a straight line to the point. The vertical scale is set by dB, = 61.8 pT. What is the magnitude of the magnetic field set up by the entire wire at perpendicular distance 4.8 cm from the wire? Number 4.8 Units dB, 0 (a) π/2 9 (rad) (b) Wire Пarrow_forwardIn a given region of space, the vector magnetic potential is given by A = x5 coszy + z(0.2+ sin zx) mWb/m. The magnetic flux passing through a square loop with 0.25 cm long edges if the loop is in the x-y plane, its center is at the origin, and its edges are parallel to the x- and y- axis?arrow_forwardAt a particular point on Earth, the magnitude of the Earth's magnetic field is 4.50 x 10-5 T. At this point, the field through a small square loop is essentially uniform. The area of the loop is 40.0 cm². What is the magnitude of the magnetic flux (in T m2) through the loop when the loop is at the following orientations? (a) the magnetic field is perpendicular to the plane of the loop T-m² (b) the magnetic field and the normal to the plane of the loop are at a 21.0° angle T.m² (c) the magnetic field and the normal to the plane of the loop are at a 90.0° angle T-m²arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Principles of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
Principles of Physics: A Calculus-Based Text
Physics
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Magnets and Magnetic Fields; Author: Professor Dave explains;https://www.youtube.com/watch?v=IgtIdttfGVw;License: Standard YouTube License, CC-BY