Fundamentals of Physics Extended
10th Edition
ISBN: 9781118230725
Author: David Halliday, Robert Resnick, Jearl Walker
Publisher: Wiley, John & Sons, Incorporated
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Chapter 30, Problem 56P
To determine
To find:
Rate of change of current at
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*.27 ILW As seen in Fig. 30-50, a
square loop of wire has sides of
length 2.0 cm. A magnetic field is di-
rected out of the page; its magnitude
given by B = 4.0/y, where B is in
teslas, t is in seconds, and y is in me-
ters. At t= 2.5 s, what are the
(a) magnitude and (b) direction of
the emf induced in the loop?
B.
Figure 30-50 Problem 27.
A circular coil of 20 turns and radius 5.0 cm is placed with its plane oriented at 90° to a uniform magnetic field of
0.10 T. The field is now increased at a steady rate, reaching a value of 0.50 T after 4.0 seconds. What emf is induced in
the coil?
O 0.031 V
O 0.021 V
O 0.026 V
O 0.016 V
O 0.036 V
In Figure (a), the inductor has 29 turns and the ideal battery has an emf of 42 V. Figure (b) gives the magnetic flux O through each turn
versus the current i through the inductor. The vertical axis scale is set by 0, = 5.4 x 10-4 T-m?, and the horizontal axis scale is set by i, =
2.07 A. If switch S is closed at time t = 0, at what rate di/dt will the current be changing at t = 1.8 T?
L.
i (A)
(a)
(b)
Number
i
Units
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...
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Similar questions
- A circular loop of wire with a radius of 4.0 cm is in a uniform magnetic field of magnitude 0.060 T. The plane of the loop is perpendicular to the direction of the magnetic field. In a time interval of 0.50 s, the magnetic field changes to the opposite direction with a magnitude of 0.040 T. What is the magnitude of the average emf induced in the loop? (a) 0.20 V (b) 0.025 V (c) 5.0 mV (d) 1.0 mV (e) 0.20 mVarrow_forwardDesign a current loop that, when rotated in a uniform magnetic field of strength 0.10 T, will produce an emf =0 sin t. where 0=110V and 0=110V .arrow_forwardA rectangular conducting loop with dimensions w = 32.0 cm and h = 78.0 cm is placed a distance a = 5.00 cm from a long, straight wire carrying current I = 7.00 A in the downward direction (Fig. P32.75). a. What is the magnitude of the magnetic flux through the loop? b. If the current in the wire is increased linearly from 7.00 A to 15.0 A in 0.230 s, what is the magnitude of the induced emf in the loop? c. What is the direction of the current that is induced in the loop during this time interval?arrow_forward
- A circular loop of wire of resistance R = 0.500 and radius r = 8.00 cm is in a uniform magnetic field directed out of the page as in Figure P31.54. If a clockwise current of I = 2.50 mA is induced in the loop, (a) is the magnetic field increasing or decreasing in time? (b) Find the rate at which the field is changing with time. Figure P31.54arrow_forwardIf a coil of wire in a magnetic field rotates 60 degrees, it provides an emf averaging 0.19 VV. If the coil consists of 3 loops of radius 0.50 mm and the magnetic field has a strength of 9.0 mTmT, how long does it take the coil to complete its rotation? Assume the coil is initially facing perpendicular to the field.arrow_forward**.26 o For the wire arrangement in Fig. 30-49, a = 12.0 cm and b 16.0 cm. The current in the long straight wire is i = 4.502 – 10.01, where i is in amperes and t is in sec- onds. (a) Find the emf in the square loop at t= 3.00 s. (b) What is the %3! Figure 30-49 Problem 26. direction of the induced current in the loop?arrow_forward
- xx 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_forwardA long solenoid of length 9.40 × 10-2 m and cross-sectional area 5.0 × 10-5 m² contains 6500 turns per meter of length. Determine the emf induced in the solenoid when the current in the solenoid changes from 0 to 1.5 A during the time interval from 0 to 0.20 s. Number i 0.00939 Units Varrow_forwardSuppose a uniform magnetic field is perpendicular to the 8(1/2) ✕ 11-in. page of your homework and a rectangular metal loop lies on the page. The loop's sides line up with the edges of the page. The magnetic field is changing with time as described by B = 9.57 ✕ 10−3 t, where B is in teslas and t is in seconds. Find the magnitude of the emf induced in the loop.arrow_forward
- A square wire loop 20 cm on a side, with resistance20 m , has its plane normal to a uniform magnetic field of magnitudeB = 2.0 T. If you pull two opposite sides of the loop awayfrom each other, the other two sides automatically draw towardeach other, reducing the area enclosed by the loop. If the area is reducedto zero in time t = 0.20 s, what are (a) the average emf and(b) the average current induced in the loop during t?arrow_forwardIn the figure, a conducting rod of length LLL = 35.0 cm moves in a magnetic field B⃗ B→\vec{B} of magnitude 0.530 T directed into the plane of the figure. The rod moves with speed v = 7.00 m/sm/s in the direction shown. What is the magnitude EE of the motional emf induced in the rod?arrow_forwardA 5-turn conducting loop with a radius of 3.0 cm with axis of rotation in the plane of the paper spins at 60 revolutions per second in a magnetic field of 0.50 T that is perpendicular to the paper. The maximum emf generated is: 0.14 V 8.3 V 28 V 2.7 V 10.5 Varrow_forward
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