Fundamentals of Physics Extended
10th Edition
ISBN: 9781118230725
Author: David Halliday, Robert Resnick, Jearl Walker
Publisher: Wiley, John & Sons, Incorporated
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Question
Chapter 30, Problem 75P
To determine
To find:
the mutual Inductance M for the loop – wire combination.
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Students have asked these similar questions
A 90.0 mH inductor is connected in a circuit. The current through the
inductor is given by the function t²-6¹. Estimate the time at which the emf will
reduce to zero.
*77 SSM Two coils connected as
shown in Fig. 30-70 separately have inductances L1 and L2. TI
mutual inductance is M. (a) Show that this combination can be
placed by a single coil of equivalent inductance given by
Leg = L1 + L2 + 2M.
(b) How could the coils in Fig. 30-70 be reconnected to yield
equivalent inductance of
Leg = L + L2- 2M?
(This problem is an extension of Problem 47, but the requirem
that the coils be far apart has been removed.)
L1
M-
L9
N1
Ng
Figure 30-70 Problem 77.
If the ratio of the outer radius to the inner radius of a rectangular toroid is doubled how does the energy stored change for a given
current? Hint: the inductance of a rectangular toroid with N turns, a height h, and outer and inner radii R2 and R₁, respectively is
MON²h
L =
-In
2π
R₂
R₁
O The answer cannot be determined from the information given.
○ It stays the same.
O It is reduced by half.
○ It quadruples.
○ It doubles.
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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- Asap plzarrow_forward58 In Fig. 30-47, R₁ = 8.0 92, R₂ = 10 22, L₁ = 0.30 H, L₂= 0.20 H, and the ideal battery has & = 6.0 V. (a) Just after switch S is closed, at what rate is the current in inductor 1 changing? (b) When the circuit is in the steady state, what is the current in inductor 1? modi 0000 L₁ R₁ R E SONO OBORE 0000 L Figure 30-47 Problem 58.arrow_forward(a) A coil of conducting wire carries a current of i(t) = 16.0 sin(1.20 x 10³t), where i is in amperes and t is in seconds. A second coil is placed in close proximity to the first, and the mutual inductance of the coils is 160 pH. What is the peak emf (in V) in the second coil? V (b) What If? Which would lead to a larger peak emf in the second coil, a doubling of the mutual inductance or a doubling of the frequency with which the current in the first coil changes? O Doubling the mutual inductance would lead to a larger peak emf. O Doubling the frequency with which the current in the first coil changes would lead to a larger peak emf. O The two changes would each have the same effect.arrow_forward
- 8 The switch in the circuit of Fig. 30-15 has been closed on a for a very long time when it is then thrown to b. The resulting current through the inductor is indicated in Fig. 30-28 for four sets of values for the resistance R and inductance L: (1) Ro and Lo, (2) 2Ro and Lo, (3) Ro and 2Lo, (4) 2Ro and 2Lo. Which set goes with which curve?arrow_forward58 In Fig. 30-47, R₁ = 8.0 2, R₂ = 10 2, L₁ = 0.30 H, L₂ = 0.20 H, and the ideal battery has = 6.0 V. (a) Just after switch S is closed, at what rate is the current in inductor 1 changing? (b) When the circuit is in the steady state, what is the current in inductor 1? oooo L₁ R₁ R₂ E SOPORD L2 elle Figure 30-47 Problem 58.arrow_forwardIn the circuit, the capacitor is fully charged when switch S is closed. Calculate the time needed for the potential energy stored by the circuit to be equally distributed between the capacitor and inductor. The capacitance is C = 20.0 mF and inductance is L = 55.0 H. S S time = + Qo C L - 2.arrow_forward
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