Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN: 9781133939146
Author: Katz, Debora M.
Publisher: Cengage Learning
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Chapter 33, Problem 8PQ
(a)
To determine
The inductance of the solenoid.
(b)
To determine
The rate of change of current,
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A 5.00 [cm] long solenoidal inductor has 50 turns and radius of 3.00 [cm]. If the current varies at a rate of 8.30 [A/s], what is the magnitude of the induced EMF in the inductor ?
A.
Zero
B.
1.78×10−7 [V]
C.
2.94×10−5 [V]
D.
1.47×10−3 [V]
2100 turns of wire are wrapped in a solenoid that is 5.0 cm long, with a cross sectional area of 2.2 squarecentimeters.a. What’s the inductance of the solenoid?b. If this is hooked up in a circuit with a capacitor to create a resonant frequency of 5000 Hz, what value ofthe capacitance should be chosen?
Your RL circuit has a characteristic time constant of 21.5 ns, and a resistance of 5.40 MΩ.
A. What is the inductance (in H) of the circuit?
B. What resistance (in MΩ) should you use (instead of the 5.40 MΩ resistor) to obtain a 1.00 ns time constant, perhaps needed for quick response in an oscilloscope?
Chapter 33 Solutions
Physics for Scientists and Engineers: Foundations and Connections
Ch. 33.1 - Prob. 33.1CECh. 33.1 - Prob. 33.2CECh. 33.2 - Prob. 33.3CECh. 33.3 - Prob. 33.4CECh. 33.4 - Prob. 33.5CECh. 33.5 - Prob. 33.6CECh. 33.7 - Prob. 33.7CECh. 33 - Prob. 1PQCh. 33 - Prob. 2PQCh. 33 - Prob. 3PQ
Ch. 33 - Prob. 4PQCh. 33 - Prob. 5PQCh. 33 - Prob. 6PQCh. 33 - Prob. 7PQCh. 33 - Prob. 8PQCh. 33 - Prob. 9PQCh. 33 - Prob. 10PQCh. 33 - Prob. 11PQCh. 33 - At one instant, a current of 6.0 A flows through...Ch. 33 - Prob. 13PQCh. 33 - Prob. 14PQCh. 33 - Prob. 15PQCh. 33 - In Figure 33.9A (page 1052), the switch is closed...Ch. 33 - Prob. 17PQCh. 33 - Prob. 18PQCh. 33 - Prob. 19PQCh. 33 - Prob. 20PQCh. 33 - Prob. 21PQCh. 33 - Prob. 22PQCh. 33 - In the LC circuit in Figure 33.11, the inductance...Ch. 33 - A 2.0-F capacitor is charged to a potential...Ch. 33 - Prob. 26PQCh. 33 - Prob. 27PQCh. 33 - Prob. 28PQCh. 33 - For an LC circuit, show that the total energy...Ch. 33 - Prob. 30PQCh. 33 - Prob. 31PQCh. 33 - Prob. 32PQCh. 33 - Prob. 33PQCh. 33 - Suppose you connect a small lightbulb across a DC...Ch. 33 - Prob. 35PQCh. 33 - Prob. 36PQCh. 33 - Prob. 37PQCh. 33 - Prob. 38PQCh. 33 - Prob. 39PQCh. 33 - Prob. 40PQCh. 33 - Prob. 41PQCh. 33 - Prob. 42PQCh. 33 - Prob. 43PQCh. 33 - In an ideal AC circuit with capacitance, there is...Ch. 33 - Prob. 45PQCh. 33 - Prob. 46PQCh. 33 - Prob. 47PQCh. 33 - Prob. 48PQCh. 33 - Prob. 49PQCh. 33 - An AC generator with an rms emf of 15.0 V is...Ch. 33 - Prob. 51PQCh. 33 - Prob. 52PQCh. 33 - Prob. 53PQCh. 33 - Prob. 54PQCh. 33 - Prob. 55PQCh. 33 - Prob. 56PQCh. 33 - Prob. 57PQCh. 33 - Prob. 58PQCh. 33 - Prob. 59PQCh. 33 - An AC source of angular frequency is connected to...Ch. 33 - An RLC series circuit is constructed with R =...Ch. 33 - Prob. 62PQCh. 33 - A series RLC circuit driven by a source with an...Ch. 33 - Prob. 64PQCh. 33 - Prob. 65PQCh. 33 - Prob. 66PQCh. 33 - Prob. 67PQCh. 33 - Prob. 68PQCh. 33 - Prob. 69PQCh. 33 - Prob. 70PQCh. 33 - Problems 71 and 72 paired. Figure P33.71 shows a...Ch. 33 - Prob. 72PQCh. 33 - Prob. 73PQCh. 33 - Prob. 74PQCh. 33 - Prob. 75PQCh. 33 - In a series RLC circuit with a maximum current of...Ch. 33 - Prob. 77PQCh. 33 - Two coaxial cables of length with radii a and b...Ch. 33 - Prob. 79PQCh. 33 - Prob. 80PQCh. 33 - Prob. 81PQCh. 33 - Prob. 82PQCh. 33 - Prob. 83PQCh. 33 - Prob. 84PQ
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- A 75-turn, 10.0 cm diameter coil rotates at an angular velocity of 8.00 radius in a 1.25 T field, starting with the plane of the coil parallel to the field. (a) What is the peak emf? (b) At what time is the peak emf first reached? (c) At what time is the emf first at its meet negative? (d) What is the period of the AC voltage output?arrow_forwardA coil with a self-inductance of 3.0 H and a resistance of 100 2 carries a steady current of 2.0 A. (a) What is the energy stored in the magnetic field of the coil? (b) What is the energy per second dissipated in the resistance of the coil?arrow_forwardA long solenoid with 10 turns per centimeter is placed inside a copper ring such that both objects hove the same central axis. The radius of the ring is 10.0 cm. and the radius of the solenoid is 5.0 cm. (a) What is the emf induced in the ring when the current 2 through the solenoid is 5.0 A and changing at a rate of 100 A/s? (b) What is the emf induced in the ring when 1=2.0A and. dI/dt=100A/s ? (c) What is the electric field inside the ring for these two cases? id: Suppose the ring is moved so that its central axis and the central axis of the solenoid are still parallel but no longer coincide. (You should assume that the solenoid is still inside die ring.) New what is the emf induced in the ring? (el Can you calculate the electric field in die ring as you did in part (c)?arrow_forward
- A transformer is used to supply a 12-V model train with power from a 110-V wall plug. The train operates at 50 W of power, (a) What is the rms current in the secondary coil of the transformer? (b) What is me rms current in the primary coil? (c) What is the ratio of the number of primary to secondary turns? (d) What is the resistance of the tram? (e) What is the resistance seen by the 110-V source?arrow_forward(a) If the emf of a coil rotating in a magnetic field is zero at t = 0, and increases to its first peak at t = 0.100 ms, what is the angular velocity of the coil? (b) At what time will its next maximum occur? (c) What is the period of the output? (d) When is the output first one-fourth at its maximum? (e) When is it next one-fourth at its maximum?arrow_forwardA solenoid 50 cm long is wound with 500 turns of wire. The cross-sectional area of the coil is 2.0 cm2. What is the self-inductance of the solenoid?arrow_forward
- The magnetic field inside of a very long solenoid is B = 0.024 T when the current į = 2.3 A. The radius of the cross-sectional area of the solenoid is R= 0.025 m. a. Determine the energy density due to magnetic field inside of the solenoid and the energy stored in the solenoid per 1.0 m of length of the solenoid.? b. What is the inductance of the solenoid per 1.0 m of length? c. If the magnetic field in the solenoid starts to decrease at the rate of 0.100 T/s, what is the magnitude of the induced electric field at the radial distance r= 0.010 m from the axis of the solenoid?arrow_forwardThe energy stored in a solenoid inductor is 28.4 mJ. The solenoid has 425 turns, is .876 meters long and has a diameter of 37.2 cm. How much current is flowing through the solenoid inductor? A. 1.00 A B. 2.02 A C. 4.68 A D. .225 A E. 1.42 Aarrow_forwardThe 4.00 A current through a 1.30 H inductor is dissipated by a 2.00 Ω resistor in a circuit like that in the figure below with the switch in position 2. a. What is the initial energy in the inductor? b. How long will it take the current to decline to 15.00% of its initial value? c. Calculate the average power dissipated in the inductor. d. What is the ratio of the initial power dissipated by the resistor to the average power dissipated by the inductor?arrow_forward
- What energy is stored in an inductor of 40 mH when a current of 8 A is passing through it? O A. 160 mJ B. 1.28 J O C. 128 mJ O D. 12.8 J O E. 1.6 mJarrow_forwardA 5.00 [cm] long solenoidal inductor has 50 turns and radius of 3.00 [cm]. If the current varies at a rate of 8.30 [A/s], what is the magnitude of the induced EMF in the inductor ? O A. Zero OB. 1.78 x 10-7 [V] O C. 2.94 x 10-5 [V] D. 1.47 x 10-³ [V]arrow_forwardA solenoid 40 cm long is wound with 800 turns of wire. The cross-sectional area of the coil is 1.5 cm?. What is the self inductance of the solenoid? L = mHarrow_forward
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