Fundamentals of Physics, Volume 1, Chapter 1-20
10th Edition
ISBN: 9781118233764
Author: David Halliday
Publisher: WILEY
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Question
Chapter 30, Problem 28P
To determine
To find:
a) Magnitude of the magnetic flux through the loop
b) The current induced in loop.
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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?
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Figure 30-54 shows a rod oflength L 10.0 cm that is forced tomove at constant speed v 5.00 m/salong horizontal rails. The rod, rails,and connecting strip at the rightform a conducting loop. The rod hasresistance 0.400 1; the rest of theloop has negligible resistance. A cur-rent i ! 100 A through the longstraight wire at distance a ! 10.0 mmfrom the loop sets up a (nonuniform)magnetic field through the loop
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.
Chapter 30 Solutions
Fundamentals of Physics, Volume 1, Chapter 1-20
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...
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- Two wires AC and BC are attached to a 7 Kg sphere that It rotates at constant speed v in the horizontal circle shown in the figure. Yes θ1 = 55° and θ2= 30 ° and d 1.4 m, determine the range of values of v for which both wires are held taut.arrow_forwardConsider 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_forward
- A wire consists of a vertical wire whose ends are connected to a circular wire. Suppose that the vertical wire has end points at r4 = -2 cos 60° î+ R sin 60° and rB = -R cos 60° - R sin 60° 3, 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.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_forwardA 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_forward
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