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
Question
Chapter 30, Problem 28P
To determine
To find:
a) Magnitude of the magnetic flux through the loop
b) The current induced in loop.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
A wire consists of a vertical wire whose ends are connected to a circular wire. Suppose that the vertical
wire has end points at rд = −2 cos 60° î+ Rsin 60° ĵ and rß = −R cos 60° î - R sin 60° ĵ, with the
positive current I flowing from point A to point B. On the other hand, the circular wire has a radius R
centered at the origin and passes through points A, B, and C, with the position rc = Rî. If a positive
current I flows along the wire, passing through the points A, B, C, and back to A, use Biot-Savart
law to find the resulting magnetic field at point D, where rp = zk. Note: you must illustrate the
problem, your variables, and your coordinate systems.
Problem 6: Two power lines, line 1 and line 2, both of length L
88 m, are strung east-west between two towers. line 1 is
r12 1.1 m directly above line 2. The current in both power lines is IL- 77 A to the west. Assume the power lines are straight and you
can use the approximation ri2 << L
Randomized Variables
LL 88 m
12 1.1 m
IL-77 A
A Part (a) Find the magnitude of the magnetic field B21, in teslas, produced by line 1 at
Part (b) What is the direction of the magnetic field produced by line 1 at line 2?
Part (c) Calculate the magnitude of the magnetic force F21, in newtons, that the
line 2
South.
Correct!
current in line 1 exerts on line 2.
Part (d) Assume a typical power line has a mass of 890 kg per 1000 m. How many
times larger would the current in both lines have to be for the magnetic force on the line to
balance the force of gravity?
tan()
acos()
sinh0)
sin
cos(0)
cotanO asin acos
4 5 6
atan()acotan(0
coshO
cotanhO
0
Degrees O Radians
BACKSPACE
CLEAR
Submit
Hint
I give up!
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?
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...
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
- Consider a wire loop of the radius r = 0.75 m moving with a constant speed of 7 m/s along magnetic field lines perpendicular to the loop plane. The magnetic field is changing with the distance x along the direction of the wire loop motion as B = 1.5+4*x (x is in meters). Determine the magnitude of the current flowing through the loop if the cross section area of the wire A = 0.3 mm^2 and the specific resistance ρ = 13 Ohm*m.arrow_forwardA conducting wire loop lies in the plane of the screen, in a region where there's a uniform magnetic field directed into the screen. The loop has radius a and resistance R. Starting at t = 0, the field changes as a function of time, B(t) = B0 e-ct where c and B0 are constants. (a) Write an expression for the magnetic flux through the loop as a function of time. (b) What is the magnitude of the emf induced in the loop? (c) Calculate the power output of the loop as a function of time. (d) Use your answer from part (c) to obtain the total energy dissipated in the resistance of the loop as the field goes from B = B0 at t = 0 to B = 0 at large times. If you couldn't get (c), you can receive partial credit by describing a solution to this part assuming some function P(t) for the power as a function of time.arrow_forwardProblem 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&vearrow_forward
- A flexible conducting loop of diameter d0 and resistance R lies perpendicular to a uniform magnetic field B⃗ . At time t=0 the loop begins to expand, with its diameter given by d(t)=d0+bt, where b is a constant. The loop's resistance doesn't change as it expands.arrow_forwardA solenoid of 400 turns and length 6 cm, and radius 2 cm is surrounded by a single coaxial loop of radius 4 cm, which has a resistance 2. The current flows in a clockwise direction, looking toward the solenoid from left. The current in the solenoid starts from zero and increases uniformly at the rate of 1 amperes per second, until it reaches a current of 10 amperes which remains steady thereafter (Use expressions for very long solenoid). a. What is the rate of change of magnetic field within the solenoid during the current change in this problem. b. What is the rate of change of magnetic flux within the solenoid during this change. c. Using Faraday’s law (or Lenz’s law), find the magnitude and direction of current generated in the outer loop. d. What is the magnetic flux through the single coil when a steady current 10A flows through the solenoid.arrow_forwardThere are 163 windings around a cylinder made of a non-magnetic material. The cylinder has a radius r 4.1 cm and a length L 7 m. The resistance of a sufficiently long cylinder (r << L) is R= 22. The applied voltage is E, = 5 V at the initial moment (t = 0). At the time t = 8s what is the value of the voltage E, in units of mega-volts, that must be applied to the ends of the solenoid, in order for the current to increase directly proportional with time t? (Take 4o = 4 x 10 7T- m/A and r= 3.14.) O 3.18 O 18.44 O 9.54 O 6.36 14.31arrow_forward
- As shown in the drawing, a loop is in the plane of the page. The magnetic field is perpendicular to the plane of the page, and, just after t=0.0s, it is directed out of the page. The magnetic flux is given by ΦM = Φ0exp (−t / 21.7s) sin (2π (t / 8.0s)) where Φ0 = 3.25mWb. The total resistance, through the loop and the resistor resistor combined, is 4.4Ω. 1. What is the magnitude, in amperes, of the current through the resistor at time 0.61s? (Be mindful of metric prefixes.) 2. What is the magnitude, in amperes, of the current through the resistor at time 4.63s4.63s? (Be mindful of metric prefixes.)arrow_forwardA loop of wire is located in the x-y plane within a magnetic flux density of B= î2 cos (6 - 10°t – 2x) µT. The loop is square with corners at (0, 0, 0), (5cm, 0, 0), (5cm, 5cm, 0), (0, 5cm, 0) and a resistance of 100 Q/m. Find the current in the loop.arrow_forwardAs shown in the drawing, a loop is in the plane of the page. The magnetic field is perpendicular to the plane of the page, and, just after t=0.0s, it is directed out of the page. The magnetic flux is given by ΦM = Φ0exp (−t / 21.7s) sin (2π (t / 8.0s)) where Φ0 = 3.25mWb. The total resistance, through the loop and the resistor resistor combined, is 4.4Ω. What is the magnitude, in amperes, of the current through the resistor at time 0.61s? (Be mindful of metric prefixes.)arrow_forward
- Problem 5: Two power lines, line 1 and line 2, both of length LL = 74 m, are strung east-west between two towers. line 1 is r12 = 1.l m directly above line 2. The current in both power lines is L = 72 A to the west. Assume the power lines are straight and you can use the approximation r12 « LL. %3D Randomized Variables LL = 74 m r12 = 1.1 m IL = 72 A || Part (a) Find the magnitude of the magnetic field B21, in teslas, produced by line 1 at line 2. Part (b) What is the direction of the magnetic field produced by line 1 at line 2? V Correct! South. Part (c) Calculate the magnitude of the magnetic force F21, in newtons, that the current in line 1 exerts on line 2. Part (d) Assume a typical power line has a mass of 890 kg per 1000 m. How many times larger would the current in both lines have to be for the magnetic force on the line to balance the force of gravity? I/IL = sin() cos() tan() 7 8 9 НOME cotan() asin() acos() E 1^A 4 5 6 atan() acotan() sinh() 3 cosh() tanh() cotanh() + END…arrow_forwardHRW 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 31-38arrow_forwardKindly answer please. Needed ASAP. Thank you.arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- Physics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage LearningPrinciples of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
Physics for Scientists and Engineers: Foundations...
Physics
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Cengage Learning
Principles of Physics: A Calculus-Based Text
Physics
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning