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 31, Problem 92P
To determine
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For the circuit shown in Fig. Q2(b), assuming the switch has been opened for a very long time,
when the switch opens at t = 0 s,
compute the current i, (t) and voltage v₁ (t) when the switch S₁ is closed.
27 V
S
iL
+ VL -
L
→ 158 mH
3.5 mA
Fig. Q2(b)
6.6 ΚΩ
R
Consider a simple circuit that has a variable DC power supply
connected to a resistor. The power supply is set up to steadily
increase its voltage at a constant rate of u volts per second. The
displacement current in this circuit is:
O steadily decreasing with time
zero
O steadily increasing with time
constant
18 O The circuit in Fig. 32-31 consists
of switch S, a 12.0 V ideal battery, a
20.0 MN resistor, and an air-filled capa-
citor. The capacitor has parallel circular
plates of radius 5.00 cm, separated by
3.00 mm. At time t= 0, switch S is
closed to begin charging the capacitor, Figure 32-31 Problem 18.
The electric field between the plates is
uniform. At t= 250 us, what is the magnitude of the magnetic
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Chapter 31 Solutions
Fundamentals of Physics Extended
Ch. 31 - Figure 31-19 shows three oscillating LC circuits...Ch. 31 - Figure 31-20 shows graphs of capacitor voltage vc...Ch. 31 - Prob. 3QCh. 31 - What values of phase constant in Eq. 31-12 allow...Ch. 31 - Curve a in Fig. 31-21 gives the impedance Z of a...Ch. 31 - Prob. 6QCh. 31 - Prob. 7QCh. 31 - The values of the phase constant for four...Ch. 31 - Prob. 9QCh. 31 - Figure 31-24 shows three situations like those of...
Ch. 31 - Prob. 11QCh. 31 - Figure 31-25 shows the current i and driving emf ...Ch. 31 - Prob. 13QCh. 31 - An oscillating LC circuit consists of a 75.0 mH...Ch. 31 - The frequency of oscillation of a certain LC...Ch. 31 - In a certain oscillating LC circuit, the total...Ch. 31 - What is the capacitance of an oscillating LC...Ch. 31 - In an oscillating LC circuit, L = 1.10 mH and C =...Ch. 31 - A 0.50 kg body oscillates in SHM on a spring that,...Ch. 31 - SSM The energy in an oscillating LC circuit...Ch. 31 - A single loop consists of inductors L1, L2, . . ....Ch. 31 - ILW In an oscillating LC circuit with L = 50 mH...Ch. 31 - Prob. 10PCh. 31 - SSM WWW A variable capacitor with a range from 10...Ch. 31 - In an oscillating LC circuit, when 75.0 of the...Ch. 31 - In an oscillating LC circuit, L = 3.00 mH and C =...Ch. 31 - To construct an oscillating LC system, you can...Ch. 31 - ILW An oscillating LC circuit consisting of a 1.0...Ch. 31 - An inductor is connected across a capacitor whose...Ch. 31 - Prob. 17PCh. 31 - Prob. 18PCh. 31 - Using the loop rule, derive the differential...Ch. 31 - GO In an oscillating LC circuit in which C = 4.00...Ch. 31 - Prob. 21PCh. 31 - A series circuit containing inductance L1 and...Ch. 31 - GO In an oscillating LC circuit, L = 25.0 mH and C...Ch. 31 - Prob. 24PCh. 31 - Prob. 25PCh. 31 - GO In an oscillating series RLC circuit, find the...Ch. 31 - SSM In an oscillating series RLC circuit, show...Ch. 31 - A 1.50 F capacitor is connected as in Fig. 31-10...Ch. 31 - ILW A 50.0 mH inductor is connected as in Fig....Ch. 31 - A 50.0 resistor is connected as in Fig. 31-8 to...Ch. 31 - a At what frequency would a 6.0 mH inductor and a...Ch. 31 - GO An ac generator has emf = m sin dt, with m =...Ch. 31 - SSM An ac generator has emf = m sindt = /4, where...Ch. 31 - GO An ac generator with emf = m sin dt, where m =...Ch. 31 - ILW A coil of inductance 88 mH and unknown...Ch. 31 - An alternating source with a variable frequency, a...Ch. 31 - An electric motor has an effective resistance of...Ch. 31 - The current amplitude I versus driving angular...Ch. 31 - Remove the inductor from the circuit in Fig. 31-7...Ch. 31 - An alternating source drives a series RLC circuit...Ch. 31 - Prob. 41PCh. 31 - An alternating source with a variable frequency,...Ch. 31 - Prob. 43PCh. 31 - GO An ac generator with emf amplitude m = 220 V...Ch. 31 - GO ILW a In an RLC circuit, can the amplitude of...Ch. 31 - GO An alternating emf source with a variable...Ch. 31 - SSM WWW An RLC circuit such as that of Fig. 31-7...Ch. 31 - Prob. 48PCh. 31 - GO In Fig. 31-33, a generator with an adjustable...Ch. 31 - An alternating emf source with a variable...Ch. 31 - SSM The fractional half-width d of a resonance...Ch. 31 - An ac voltmeter with large impedance is connected...Ch. 31 - SSM An air conditioner connected to a 120 V rms ac...Ch. 31 - What is the maximum value of an ac voltage whose...Ch. 31 - What direct current will produce the same amount...Ch. 31 - Prob. 56PCh. 31 - Prob. 57PCh. 31 - For Fig. 31 -35, show that the average rate at...Ch. 31 - GO In Fig. 31-7, R = 15.0 , C = 4.70 F, and L =...Ch. 31 - Prob. 60PCh. 31 - SSM WWW Figure 31-36 shows an ac generator...Ch. 31 - Prob. 62PCh. 31 - SSM ILW A transformer has 500 primary turns and 10...Ch. 31 - Prob. 64PCh. 31 - An ac generator provides emf to a resistive load...Ch. 31 - In Fig. 31-35, let the rectangular box on the left...Ch. 31 - GO An ac generator produces emf = m sindt /4,...Ch. 31 - A series RLC circuit is driven by a generator at a...Ch. 31 - A generator of frequency 3000 Hz drives a series...Ch. 31 - A 45.0 mH inductor has a reactance of 1.30 k. a...Ch. 31 - An RLC circuit is driven by a generator with an...Ch. 31 - A series RLC circuit is driven in such a way that...Ch. 31 - A capacitor of capacitance 158 f and an inductor...Ch. 31 - An oscillating LC circuit has an inductance of...Ch. 31 - For a certain driven series RLC circuit, the...Ch. 31 - A L5D F capacitor has a capacitive re ac lance of...Ch. 31 - Prob. 77PCh. 31 - An electric motor connected to a 120 V, 60.0 Hz ac...Ch. 31 - SSM a In an oscillating LC circuit in terms of the...Ch. 31 - A series RLC circuit is driven by an alternating...Ch. 31 - SSM In a certain series RLC circuit being driven...Ch. 31 - A 1.50 mH inductor in an oscillating LC circuit...Ch. 31 - A generator with an adjustable frequency of...Ch. 31 - A series RLC circuit has a resonant frequency of...Ch. 31 - SSM An LC circuit oscillates at a frequency of...Ch. 31 - When under load and operating at an rms voltage of...Ch. 31 - The ac generator in Fig. 31-39 supplies 120 V at...Ch. 31 - In an oscillating LC circuit, L = 8.00 mH and C =...Ch. 31 - Prob. 89PCh. 31 - What capacitance would you connect across a 1.30...Ch. 31 - A series circuit with resistor inductor ...Ch. 31 - Prob. 92PCh. 31 - When the generator emf in Sample Problem 31.07 is...
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- 91 SSM In the circuit of Fig. 30-76, R = 20 kn, R2 = 20 N, L = 50 mH, and the ideal battery has & = 40 V. Switch S has been open for a long oll L. R R2 time when it is closed at time t = 0. Just after the switch is closed, what シー are (a) the current ibat through the battery and (b) the rate dipal dt? At t = 3.0 us, what are (c) ibat and (d) dipaldt? A long time later, what are (e) ibat and (f) dipal dr? Figure 30-76 Problem 91.arrow_forwardShow that Equation 32.28 in the text Ls Kirchhoffs loop rule as applied to the circuit in Figure P32.56 with the switch thrown to position b.arrow_forward*3-15. The cylinder D has a mass of 20 kg. If a force of F = 100 N is applied horizontally to the ring at A, determine the largest dimension d so that the force in cable AC is zero. B T 1.5 m + C Ic 2 m A Farrow_forward
- 10 Figure 31-24 shows three situations like those of Fig. 31-15. Is the driving angular frequency greater than, less than, or equal to the resonant angular frequency of the circuit in (a) situation 1, (b) situation 2, and (c) situation 3? (1) (2) (3) Figure 31-24 Question 10.arrow_forwardConsider the RL circuit in which R = 4 2, L = 0.1 H and E(t) = 20 V. If there is not current flowing initially, determine the current in the circuit for t2 0.arrow_forwardA circular-shaped circuit of radius RO, containing a resistor with resistance R and a capacitor with capacitance C, is situated with its plane perpendicular to a spatially uniform magnetic field B directed perpendicularly into the page. Starting at time t=0, the voltage difference across the capacitor plates is observed to increase with time according to the relation, Vc =Vb -V₂ =Vo (1- e-t/T), where Vo is a positive number. (a) Is the capacitor in the process of charging or discharging? Explain. (b) Where is the current through this circuit stemming from? (c) Explain conceptually whether the magnetic field is increasing or decreasing. (d) Determine the rate at which the magnetic field magnitude changes with timearrow_forward
- A simple series circuit consists of a 160 resistor, a 28.0 V battery, a switch, and a 3.20 pF parallel-plate capacitor (initially uncharged) with Os. plates 5.0 mm apart. The switch is closed at t = ▼ Part A After the switch is closed, find the maximum electric flux through the capacitor. VE ΑΣΦ Submit Part B 0.175 A Submit After the switch is closed, find the maximum displacement current through the capacitor. Part C Request Answer ✓ Correct Previous Answers Find the electric flux at t Submit ΨΕΙ ΑΣΦ Part D = 0.50 ns. Request Answer - ΑΣΦ Find the displacement current at t ? wwwww. 0.50 ns. 5 2. ? V. m ? V. marrow_forwardTime t < 0, the circuit is in DC Steady State. The switch is opened instantly at time t=0. This question deals with the new initial conditions for t>0. When t<0, I₂ = 7 A, and I₃ = 9 A. Give I₂ at t=0+ (at t=0, but after the switch is opened).arrow_forward(a) The figure below shows two parallel conducting rails 15.2 cm apart, connected by a resistor with resistance R₂ = 5.00 Q. Two metal rods with resistances R₁ = 11.40 and R₂ = 15.0 (2 slide along the rails with negligible friction. Rod R₁ slides to the left at constant speed v₁ = 4.00 m/s, while rod R₂ slides at speed v₂ = 2.00 m/s. The rods and rails are in the presence of a uniform magnetic field pointing into the page, perpendicular to the plane of the rails, with a magnitude of Bin = 0.0100 T. +5 x x x x x x x x x x x x x x x x x x x x x x x x x x upward x x x ---Select--- X * x x x x x x x x Rg x x x x x R₁ R₂ What are the magnitude (in μA) and direction of the current through resistor R₂? μA magnitude direction x x x x (b) What If? What are the magnitude (in μA) and direction of the current through resistor R. if the rods move inward, instead of outward, with the same speeds as in part (a)? μA magnitude directionarrow_forward
- V4=V1-V2 Give the expression of V4 as a function of time.arrow_forward匈 :rv سؤال 1 غير مجاب عليه بعد الدرجة من 6.25 علم هذا السؤال Consider a series RC circuit as in Figure below for which R =5.2 MQ, C=3.2 µF, and ɛ=30.0 V. Find the current ( in units of µA) at the moment the switch S is closed. C R + اخترأحد الخيارات A. 8.65 O B. 11.54 C. 7.50 D. 5.77 E. 2.88 IIarrow_forwardTime t < 0, the circuit is in DC Steady State. The switch is opened instantly at time t=0. When t<0, I₂ = 7 A, and I₃ = 9 A. R₁ = 5 Ω, R₂ = 4 Ω, and R₃ = 4 Ω. The solution for I₂ is I2 = I 0 e^ − R t / L. With several resistors in the circuit, the question is, what resistance do we use for R? Answer this question (in Ohms).arrow_forward
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