Physics for Scientists and Engineers With Modern Physics
9th Edition
ISBN: 9781133953982
Author: SERWAY, Raymond A./
Publisher: Cengage Learning
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Chapter 32, Problem 3OQ
To determine
The current change if the energy stored in the conductor is to remain the same.
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A solenoidal inductor for a printed circuit board is being redesigned. To save weight, the number of turns is reduced by one-ninth, with the geometric dimensions kept the same. By how much must the current change if the energy stored in the inductor is to remain the same?
It must be eighty-one times larger.
It must be nine times larger.
It should be left the same.
It should be one-ninth as large.
No change in the current can compensate for the reduction in the number of turns.
A 24-V battery is connected in series with a resistor and an inductor, with R = 5.8 N and L = 4.4 H, respectively.
(a) Find the energy stored in the inductor when the current reaches its maximum value.
(b) Find the energy stored in the inductor one time constant after the switch is closed.
A 140-mH inductor and a 5.50-0 resistor are connected with a switch to a 6.00-V battery as shown in the figure below.
(a) After the switch is first thrown to a (connecting the battery), what time interval elapses before the current reaches 220 mA?
ms
(b) What is the current in the inductor 10.0 s after the switch is closed?
A
(c) Now the switch is quickly thrown from a to b. What time interval elapses before the current in the inductor falls to 160 mA?
ms
Chapter 32 Solutions
Physics for Scientists and Engineers With Modern Physics
Ch. 32.1 - A coil with zero resistance has its ends labeled a...Ch. 32.2 - Prob. 32.2QQCh. 32.3 - Prob. 32.3QQCh. 32.4 - Prob. 32.4QQCh. 32.5 - (i) At an instant of time during the oscillations...Ch. 32 - Prob. 1OQCh. 32 - Prob. 2OQCh. 32 - Prob. 3OQCh. 32 - Prob. 4OQCh. 32 - Prob. 5OQ
Ch. 32 - Prob. 6OQCh. 32 - Prob. 7OQCh. 32 - Prob. 1CQCh. 32 - Prob. 2CQCh. 32 - Prob. 3CQCh. 32 - Prob. 4CQCh. 32 - Prob. 5CQCh. 32 - Prob. 6CQCh. 32 - The open switch in Figure CQ32.7 is thrown closed...Ch. 32 - Prob. 8CQCh. 32 - Prob. 9CQCh. 32 - Prob. 10CQCh. 32 - Prob. 1PCh. 32 - Prob. 2PCh. 32 - Prob. 3PCh. 32 - Prob. 4PCh. 32 - Prob. 5PCh. 32 - Prob. 6PCh. 32 - Prob. 7PCh. 32 - Prob. 8PCh. 32 - Prob. 9PCh. 32 - Prob. 10PCh. 32 - Prob. 11PCh. 32 - Prob. 12PCh. 32 - Prob. 13PCh. 32 - Prob. 14PCh. 32 - Prob. 15PCh. 32 - Prob. 16PCh. 32 - Prob. 17PCh. 32 - Prob. 18PCh. 32 - Prob. 19PCh. 32 - Prob. 20PCh. 32 - Prob. 21PCh. 32 - Prob. 22PCh. 32 - Prob. 23PCh. 32 - Prob. 24PCh. 32 - Prob. 25PCh. 32 - Prob. 26PCh. 32 - Prob. 27PCh. 32 - Prob. 28PCh. 32 - Prob. 29PCh. 32 - Prob. 30PCh. 32 - Prob. 31PCh. 32 - Prob. 32PCh. 32 - Prob. 33PCh. 32 - Prob. 34PCh. 32 - Prob. 35PCh. 32 - Prob. 36PCh. 32 - Prob. 37PCh. 32 - Prob. 38PCh. 32 - Prob. 39PCh. 32 - Prob. 40PCh. 32 - Prob. 41PCh. 32 - Prob. 42PCh. 32 - Prob. 43PCh. 32 - Prob. 44PCh. 32 - Prob. 45PCh. 32 - Prob. 46PCh. 32 - Prob. 47PCh. 32 - Prob. 48PCh. 32 - Prob. 49PCh. 32 - Prob. 50PCh. 32 - Prob. 51PCh. 32 - Prob. 52PCh. 32 - Prob. 53PCh. 32 - Prob. 54PCh. 32 - Prob. 55PCh. 32 - Prob. 56PCh. 32 - Prob. 57PCh. 32 - Prob. 58PCh. 32 - Electrical oscillations are initiated in a series...Ch. 32 - Prob. 60APCh. 32 - Prob. 61APCh. 32 - Prob. 62APCh. 32 - A capacitor in a series LC circuit has an initial...Ch. 32 - Prob. 64APCh. 32 - Prob. 65APCh. 32 - At the moment t = 0, a 24.0-V battery is connected...Ch. 32 - Prob. 67APCh. 32 - Prob. 68APCh. 32 - Prob. 69APCh. 32 - Prob. 70APCh. 32 - Prob. 71APCh. 32 - Prob. 72APCh. 32 - Prob. 73APCh. 32 - Prob. 74APCh. 32 - Prob. 75APCh. 32 - Prob. 76APCh. 32 - Prob. 77APCh. 32 - Prob. 78CPCh. 32 - Prob. 79CPCh. 32 - Prob. 80CPCh. 32 - Prob. 81CPCh. 32 - Prob. 82CPCh. 32 - Prob. 83CP
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- Show 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_forwardSuppose that a cylindrical solenoid is wrapped around a core of iron whose magnetic susceptibility is x. Using Equation 14.9, show that the self-inductance of the solenoid is given by L=(l+x)+0n2Al where l is its length, A its cross-sectional area and N its total number of turns. Nm=Uarrow_forwardIn Figure 14.12, =12V , L = 20 mH, and R=5.0. Determine (a) the time constant of the circuit, (b) the initial current through the resistor, (C) the final current through the resistor, (d) the current through the resistor when t=2L , and (e) the voltages across the inductor and the resistor when t=2L .arrow_forward
- The current I(t) through a 5.0-mH inductor varies with time, as shown below. The resistance of the inductor is 5.0 . Calculate the voltage across the inductor at t = 2.0 ms, r = 4.0 ms, and t = 8.0 ms.arrow_forwardSuppose that a rectangular toroid has 2000 windings and a self-inductance of 0.040 H. If h = 0.10 m, what is the current flowing through a rectangular toroid when the energy in its magnetic field is 2.0 × 10-6 J?arrow_forwardA circuit consists of a conducting movable bar and a light bulb connected to two conducting rails as shown in Figure OQ23.16. An external magnetic field is directed perpendicular to the plane of the circuit. Which of the following actions will make the bulb light up? More than one statement may be correct. (a) The bar is moved to the left. (b) The bar is moved to the right. (c) The magnitude of the magnetic field is increased. (d) The magnitude of the magnetic field is decreased. (e) The bar is lifted off the rails.arrow_forward
- A circuit consists of a conducting movable bar and a lightbulb connected to two conducting rails as shown in Figure OQ31.10. An external magnetic field is directed perpendicular to the plane of the circuit. Which of the following actions will make the bulb light up? More than one statement may be correct, (a) The bar is moved to the left, (b) The bar is moved to the right. (c) The magnitude of the magnetic field is increased. (d) The magnitude of the magnetic field is decreased. (e) The bar is lifted off the rails.arrow_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 5.0 mH inductor and a 10.0 N resistor are connected in series with a 6.0 V ideal battery and a switch. (a) Immediately after the switch is closed what is the voltage across and current in the resistor? (b) Immediately after the switch is closed what is the voltage across and current in the inductor? (c) How long will it take to reach 75.0% of the maximum current in the inductor? (d) After a long time what is the voltage across and the current in the resistor? (e) After a long time what is the voltage across and the current in the inductor? (f) Include aarrow_forward
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