College Physics
11th Edition
ISBN: 9781305952300
Author: Raymond A. Serway, Chris Vuille
Publisher: Cengage Learning
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Chapter 20.6, Problem 20.6QQ
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The brightness of the bulb.
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In the figure below the switch S is closed, Supppose the emf of the ideal battery is 12.0 V, the inductance of the ideal inductor L = 30.0 mH, and the resistance R2 = 4.34 ohms and the resistance R2 = 2.17 ohms. When i = 0.17 A
1. how much energy is delivered by the battery?
2. how much of this energy is stored in the magnetic field of the inductor?
3. how much of this energy is dissipated by both resistors?
4. what is the rate dibat/dt at t = 0, t = 0.82 s and t after a long time?
Calculate the current flowing in a 50 mH - inductor if the energy stored in its magnetic field is 280 µJ.
A.0.10583 A
B. 0.3347 A
C. 3.3466 A
D. 0.0112 A
When the current through a large inductor is interrupted with a switch, an arc appears across the open terminals of the switch. Explain.
Chapter 20 Solutions
College Physics
Ch. 20.2 - Prob. 20.1QQCh. 20.2 - A bar magnet is falling toward the center of a...Ch. 20.2 - Two circular loops are side by side and lie in the...Ch. 20.3 - A horizontal metal bar oriented east-west drops...Ch. 20.3 - You intend to move a rectangular loop of wire into...Ch. 20.6 - Prob. 20.6QQCh. 20 - A bar magnet is held stationary while a circular...Ch. 20 - Does dropping a magnet down a copper tube produce...Ch. 20 - Figure CQ20.3 shows three views of a circular loop...Ch. 20 - A loop of wire is placed in a uniform magnetic...
Ch. 20 - As the conducting bar in Figure CQ20.5 moves to...Ch. 20 - How is electrical energy produced in dams? (That...Ch. 20 - Figure CQ20.7 shows a slidewire generator with...Ch. 20 - As the bar in Figure CQ20.5 moves perpendicular to...Ch. 20 - Eddy current are induced currents set up in a...Ch. 20 - The switch S in Figure 20.27 is closed at t = 0...Ch. 20 - A piece of aluminum is dropped vertically downward...Ch. 20 - When the switch in Figure CQ20.12a is closed, a...Ch. 20 - Prob. 13CQCh. 20 - A magneto is used to cause the spark in a spark...Ch. 20 - A uniform magnetic field of magnitude 0.50 T is...Ch. 20 - Find the flux of Earths magnetic field of...Ch. 20 - Prob. 3PCh. 20 - A long, straight wire carrying a current of 2.00 A...Ch. 20 - Prob. 5PCh. 20 - A magnetic field of magnitude 0.300 T is oriented...Ch. 20 - A cube of edge length = 2.5 cm is positioned as...Ch. 20 - Transcranial magnetic stimulation (TMS) is a...Ch. 20 - Three loops of wire move near a long straight wire...Ch. 20 - The flexible loop in Figure P20.10 has a radius of...Ch. 20 - Inductive charging is used to wirelessly charge...Ch. 20 - Medical devices implanted inside the body are...Ch. 20 - A technician wearing a circular metal band on his...Ch. 20 - In Figure P20.14, what is the direction of the...Ch. 20 - Prob. 15PCh. 20 - Find the direction of the current in the resistor...Ch. 20 - A circular loop of wire lies below a long wire...Ch. 20 - A square, single-turn wire loop = 1.00 cm on a...Ch. 20 - Prob. 19PCh. 20 - A circular coil enclosing an area of 100 cm2 is...Ch. 20 - To monitor the breathing of a hospital patient, a...Ch. 20 - An N-turn circular wire coil of radius r lies in...Ch. 20 - A truck is carrying a steel beam of length 15.0 m...Ch. 20 - Prob. 24PCh. 20 - Prob. 25PCh. 20 - In one of NASAs space tether experiments, a...Ch. 20 - Prob. 27PCh. 20 - An astronaut is connected to her spacecraft by a...Ch. 20 - Prob. 29PCh. 20 - Prob. 30PCh. 20 - Prob. 31PCh. 20 - Prob. 32PCh. 20 - Considerable scientific work is currently under...Ch. 20 - A flat coil enclosing an area of 0.10 m2 is...Ch. 20 - A generator connected to the wheel or hub of a...Ch. 20 - A motor has coils with a resistance of 30.0 and...Ch. 20 - A coil of 10.0 turns is in the shape of an eclipse...Ch. 20 - Prob. 38PCh. 20 - Prob. 39PCh. 20 - Prob. 40PCh. 20 - Prob. 41PCh. 20 - An emf of 24.0 mV is induced in a 500-turn coil...Ch. 20 - Prob. 43PCh. 20 - Prob. 44PCh. 20 - Prob. 45PCh. 20 - Prob. 46PCh. 20 - Prob. 47PCh. 20 - Prob. 48PCh. 20 - Prob. 49PCh. 20 - Prob. 50PCh. 20 - Prob. 51PCh. 20 - Prob. 52PCh. 20 - Additional Problems Two circular loop of wire...Ch. 20 - Prob. 54APCh. 20 - Prob. 55APCh. 20 - Prob. 56APCh. 20 - An 820-turn wire coil of resistance 24.0 is...Ch. 20 - A spacecraft is in 4 circular orbit of radius...Ch. 20 - Prob. 59APCh. 20 - Prob. 60APCh. 20 - Prob. 61APCh. 20 - Prob. 62APCh. 20 - The magnetic field shown in Figure P20.63 has a...Ch. 20 - Prob. 64APCh. 20 - In Figure P20.65 the rolling axle of length 1.50 m...Ch. 20 - An N-turn square coil with side and resistance R...Ch. 20 - A conducting rectangular loop of mass M,...
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- Suppose 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_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_forwardThe energy stored in a solenoid inductor is 28.4 J. The solenoid is .876 m long and has a radius of .186 m. A current of 52.8 ampers flows in the solenoid. what are the numbers of turns in the solenoid? A. 131000 B. 1140 C. 256 D. 19100 E. 362arrow_forward
- A 24-V battery is connected in series with a resistor and an inductor, with R = 3.8 Ω and L = 2.4 H, respectively. (a) Find the energy stored in the inductor when the current reaches its maximum value.______ J(b) Find the energy stored in the inductor one time constant after the switch is closed._______ Jarrow_forwardA 24-V battery is connected in series with a resistor and an inductor, with R = 3.0 Ω and L = 2.4 H, respectively. (a) Find the energy stored in the inductor when the current reaches its maximum value. ______J (b) Find the energy stored in the inductor one time constant after the switch is closed. ______Jarrow_forwardA 17.0 mH inductor, an 7.00 Ω resistor, and a 6.00 V battery are connected in series. The switch is closed at t = 0. Find the voltage drop across the inductor (b) after one time constant has passed. A 17.0 mH inductor, an 7.00 Ω resistor, and a 6.00 V battery are connected in series. Also, find the voltage drop across the resistor (d) after one time constant has elapsed. A 17.0 mH inductor, an 7.00 Ω resistor, and a 6.00 V battery are connected in series.The switch is closed at t = 0. (e) Find the time constant of this circuit.arrow_forward
- A cylindrical solenoid with radius 1.00 cm andlength 10.0 cm consists of 300 windings of AWG 20 copper wire, whichhas a resistance per length of 0.0333 Ω/m. This solenoid is connectedin series with a 10.0 mF capacitor, which is initially uncharged. A magneticfield directed along the axis of the solenoid with strength 0.100 Tis switched on abruptly. (a) The solenoid may be considered an inductorand a resistor in series. Use Faraday’s law to determine the average emfacross the solenoid during the brief switch-on interval, and determine thenet charge initially deposited on the capacitor. (b) Attime t = 0 the capacitor is fully charged and there is no current. Howmuch time does it take for the capacitor to fully discharge the first time?(c) What is the frequency with which the current oscillates? (d) How muchenergy is stored in the capacitor at t = 0? (e) How long does it take for thetotal energy stored in the circuit to drop to 10% of that value?arrow_forwardFor a toroidal solenoid, suppose the number of turns is 186, the area is 3.74 cm 2, and the radius is 14.20 cm. The current in the toroidal solenoid increases uniformly from 0 A to 4.17 A in 4.29 us. Find the magnitude of the self-induced emf.arrow_forwardA solenoid (made as a long coil) is a type of electromagnet, the purpose of which is to generate a controlled magnetic eld through a coil wound into a tightly packed helix. Now calculate the self-inductance if the number of windings are 100 of a 5.0 cm long solenoid with cross-sectional area of 0.30 cm2.arrow_forward
- 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.arrow_forwardA long, straight solenoid with a radius of rs = 3.0 cm and a length of y = 25 cm is wound with 1,500 closely packed turns of wire. The windings carry an upward current of I1 = 20 A that is delivered by a power supply. A conducting loop of radius rc = 2.0 cm is inside the solenoid and is oriented parallel to the solenoid windings as shown in the figure below. Find the induced EMF in the conducting loop when the power supply is adjusted to increase the current in the solenoid to I2 = 35 A in a time of t = 0.40 s. a. 0.714 volts b. 0.255 volts c. 0.533 volts d. 0.624 volts e. 0.410 voltsarrow_forwardA long, straight solenoid with a radius of rs = 3.0 cm and a length of y = 25 cm is wound with 1,500 closely packed turns of wire. The windings carry an upward current of I1 = 20 A that is delivered by a power supply. A conducting loop of radius rc = 2.0 cm is inside the solenoid and is oriented parallel to the solenoid windings as shown in the figure below. Find the induced EMF in the conducting loop when the power supply is adjusted to increase the current in the solenoid to I2 = 35 A in a time of t = 0.40 s.arrow_forward
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