Physics for Scientists and Engineers with Modern Physics
10th Edition
ISBN: 9781337553292
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
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Question
Chapter 31, Problem 9P
(a)
To determine
The inductance of the given single conductor wire.
(b)
To determine
The emf generated in the wire.
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You are working as an electrical technician. One day, out in the field, you need an inductor but cannot find one. Looking in your wire supply cabinet, you find a cardboard tube with single-conductor wire wrapped uniformly around it to form a solenoid. You carefully count the turns of wire and find that there are 580 turns. The diameter of the tube is 8.00 cm, and the length of the wire-wrapped portion is 36.0 cm. You pull out your calculator to determine (a) the inductance of the coil and (b) the emf generated in it if thecurrent in the wire increases at the rate of 4.00 A/s.
A 14.5 cm long solenoid has 56 windings and a circular cross section of radius a = 1.40 cm. The solenoid goes through the center of a circular coil of wire with 95 windings and radius b = 6.00 cm. The current in the circular coil changes according to i(t) = 2.0 t2 + 2.0 t.
What is the mutual inductance of the coil and solenoid?
At t=infinity, what is the current flowing through an inductor?
What is the voltage across the inductor at t=0?
At t=infinity, what is the voltage across the inductor?
Chapter 31 Solutions
Physics for Scientists and Engineers with Modern Physics
Ch. 31.1 - A coil with zero resistance has its ends labeled a...Ch. 31.2 - Prob. 31.2QQCh. 31.3 - Prob. 31.3QQCh. 31.4 - Prob. 31.4QQCh. 31.5 - (i) At an instant of time during the oscillations...Ch. 31 - Prob. 1PCh. 31 - Prob. 2PCh. 31 - Prob. 3PCh. 31 - Prob. 4PCh. 31 - Prob. 5P
Ch. 31 - A toroid has a major radius R and a minor radius r...Ch. 31 - Prob. 7PCh. 31 - Prob. 8PCh. 31 - Prob. 9PCh. 31 - Prob. 10PCh. 31 - Prob. 11PCh. 31 - Prob. 12PCh. 31 - Prob. 13PCh. 31 - You are working as a demonstration assistant for a...Ch. 31 - Prob. 15PCh. 31 - Prob. 16PCh. 31 - Prob. 17PCh. 31 - Prob. 18PCh. 31 - Prob. 19PCh. 31 - Prob. 20PCh. 31 - Prob. 21PCh. 31 - Prob. 22PCh. 31 - Prob. 23PCh. 31 - Prob. 24PCh. 31 - Prob. 25PCh. 31 - Prob. 26PCh. 31 - Prob. 27PCh. 31 - Prob. 28PCh. 31 - In the circuit of Figure P31.29, the battery emf...Ch. 31 - Prob. 30PCh. 31 - Prob. 31PCh. 31 - Prob. 32PCh. 31 - In Figure 31.15, let R = 7.60 , L = 2.20 mH, and C...Ch. 31 - Prob. 34PCh. 31 - Electrical oscillations are initiated in a series...Ch. 31 - Prob. 36APCh. 31 - A capacitor in a series LC circuit has an initial...Ch. 31 - Prob. 38APCh. 31 - Prob. 39APCh. 31 - At the moment t = 0, a 24.0-V battery is connected...Ch. 31 - Prob. 41APCh. 31 - Prob. 42APCh. 31 - Prob. 43APCh. 31 - Prob. 44APCh. 31 - Prob. 45APCh. 31 - At t = 0, the open switch in Figure P31.46 is...Ch. 31 - Prob. 47APCh. 31 - Prob. 48APCh. 31 - Prob. 49APCh. 31 - Prob. 50CPCh. 31 - Prob. 51CPCh. 31 - Prob. 52CPCh. 31 - Prob. 53CP
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- A battery providing emf V is connected in series to a resistor R and an inductor L, and left until the current reaches a constant value. (a) What is the energy stored in the inductor in terms of V, R and L? Then, at t = 0, the battery is suddenly removed, so that only the inductor and resistor are left connected to each other in a closed circuit. (b) Derive an expression for the energy stored in the inductor in the new circuit without the battery. Sketch your expression as a function of time. (c) How long does it take for the energy stored in the inductor to decay to 1/9 of the initial value that you found in part (a)?arrow_forwardAn electric current contains a battery that produces a voltage of 60 voltsV , a resistor with a resistance of 13 ohms, and inductor with an inductance of 5 henrys H . Using calculus, it can be shown that I I t (in amperes, A), when t seconds after the switch is closed is 13 5 60 1 13 t I e 1.4.1 Use this equation to express the time t as function of the currentI arrow_forwardAt the instant when the current in an inductor is increasing with a rate of 640 x 10-4 A/s, the modulus of the self-induced electromotive force is equal to 160 x 10-4 V. a) what is the inductance of the inductor?b) if the inductor is a solenoid with 400 turns, what is the average magnetic flux through each turn when the current is equal to 720 x 10-3 A?arrow_forward
- In 3.0 s, the current in a particular RL circuit that consists of a battery, a resistor, and an inductor connected in series has increased to 50.% of the maximum current possible. If the resistor has a value of 3.00 Ω, what is the inductance of the inductor? (a) 4.1 H (b) 6.5 H (c) 3.3 H (d) 13 H(e) None of the abovearrow_forwardMeasurements on a solenoid coil (inductor) at a particular instant in time indicate that the current in the inductor is 2.7 A and changing at 0.4 A/s, while the emf generated across the coil is 1.6 V. A) What is the inductance L of the coil? B) If the body of the coil is 1 inch long and ¼ inch in diameter, how many turns are there in the coil?arrow_forwardIf the current in an inductor is doubled, by what factor is the stored energy multiplied? (a) 4 (b) 2 (c) 1 (d) ½ (e) ¼arrow_forward
- At t=0 the open switch in figure is closed. By using kirchhoff's rule for the instantaneous currents and voltage in this two-loop circuits, show that the current in the inductor at time t>0 is I(t)=(emf/R1)[1-e^-(R'/L)t] where R=R1R2/(R1+R2).arrow_forwardA 5.70 x 10 -5 H solenoid is constructed by wrapping 80 turns of wire around a cylinder with a cross-sectional area of 7.1 x 10-4 m2. When the solenoid is shortened by squeezing the turns closer together, the inductance increases to 8.20 x 10-5 H. Determine the change in the length of the solenoid.arrow_forward
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