Fundamentals of Physics, Volume 1, Chapter 1-20
10th Edition
ISBN: 9781118233764
Author: David Halliday
Publisher: WILEY
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Chapter 30, Problem 3Q
To determine
To find:
a) The rank of loops according to the size of the induced current if the current is constant.
b) The rank of loops according to the size of induced current if the current is increasing.
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*.28 G0 In Fig. 30-51, a rectangular
loop of wire with length a = 2.2 cm, width b = 0.80 cm, and resist-
ance R = 0.40 mn is placed near an infinitely long wire carrying
current i = 4.7 A. The loop is then moved away from the wire at
constant speed v = 3.2 mm/s. When the center of the loop is at
distance r = 1.5b, what are (a) the magnitude of the magnetic flux
through the loop and (b) the current induced in the loop?
%3D
Two long straight aluminum wires, each of diameter 0.42 mm,
carry the same current but in opposite direc-
tions. They are suspended by 0.50-m-long
strings as shown in Fig. 20-67. If the
suspension strings make an angle of 3.0°
with the vertical and are hanging freely,
6.0°
what is the current in the wires?
FIGURE 20-67
Problem 78.
-0.50 m-
62 O In Fig. 28-51a, two concentric coils, lying in the same
plane, carry currents in opposite directions. The current in the
larger coil 1 is fixed. Current iz in coil 2 can be varied. Figure 28-51b
gives the net magnetic moment of the two-coil system as a function
of iz. The vertical axis scale is set by Hnet, = 2.0 x 10-5A m², and
the horizontal axis scale is set by iz, = 10.0 mA. If the current in
coil 2 is then reversed, what is the magnitude of the net magnetic
moment of the two-coil system when iz = 7.0 mA?
A net,
net,s
iz (mA)
(a)
(b)
Hnet (105 A m)
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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- 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_forwardA coil of tangent galvanometer having diameter 16 cm is set up in magnetic meridian. When current of 0.8 A is passed through the coil, the magnetic needle is deflected through 45°. Find the length of the wire in the coil. Also find the reduction factor of tangent galvanometer. (Bí = 2 × 10¹ Wb/m², µ₁ = 4π × 10-7 Wb/Am). Harrow_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
- 26 O In Fig. 29-54a, wire 1 consists of a circular arc and two radial lengths; it carries current = 0.50 A in the direction indicated. Wire 2, shown in cross section, is long, straight, and per- pendicular to the plane of the figure. Its distance from the center of the arc is equal to the radius R of the arc, and it carries a current iz that can be varied. The two currents set up a net magnetic field B at the center of the arc. Figure 29-54b gives the square of the field's magnitude B plotted versus the square of the current iB. The verti- cal scale is set by B; = 10.0 x 10-10 T?. What angle is subtended by the arc? B? (A) (a) (b) (L. 01-01) Aarrow_forwardA 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.arrow_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_forward
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