=1. The switch in the image had been in position (a) for a long time. The switch ismoved to position (b) at time t 0. The graph shows the current through theresistor as a function of time for four different combinations of resistance andinductance. Assume that R = 4 N and L = 2 mH.(a) Match each plot in the graph to the correct value of R and L.2R and 2L:R and 2L:2R and L:R and L:(b) What is the emf of the battery? Show your work.E ==a SCopyright © 2014 John Wiley & Sons, Inc. All rights reserved.halliday, 10 g 30.15I4A2A-baReeee

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Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter23: Faraday’s Law And Inductance

Section: Chapter Questions

Problem 10CQ

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Each of the three situations in Figure P32.68 shows a resistor in a circuit in which currents are induced. Using Lenzs law, determine whether the current in each situation is from a to b or from b to a. a. If the current I in the wire in Figure P32.68A is increased from zero to I, what is the direction of the current induced across the resistor R? b. The switch in Figure P32.68B is initially closed and is thrown open at t = 0. What is the direction of the current induced across the resistor R immediately afterward? c. A bar magnet is brought close to the circuit shown in Figure P32.68C. What is the direction of the current induced across the resistor R?
In an oscillating RLC circuit, R=5.0 ,. L=5.0mH , and C = 500 F . What is the angular frequency of the oscillations?
a. Does the induced emf in a circuit depend on the resistance of the circuit? (b) Does the induced current depend on the resistance of the circuit?
The square armature coil of an alternating current generator has 200 turns and is 20.0 cm on side. When it rotates at 3600 rpm, its peak output voltage is 120 V. (a) Wliat is the frequency' of the output voltage? (b) What is the strength of the magnetic field in which the coil is turning?
The normal to tt plane of a single-turn conducting loop is directed at an angle to a spatially uniform magnetic field B. It has a fixed area and orientation relative to the magnetic fleck Show that the emf induced In the loop is given by i = (dB/dt)(Acos),where A is the area of the loop.
A 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)?
Shown below is a conducting rod that slides along metal rails. The apparatus is in a uniform magnetic field of strength 0.25 T, which is directly into the page. The rod is pulled to the right at a constant speed of 5.0 m/s by a force . The only significant resistance in the circuit comes from the 2.0resistor shown. (a) What is the emf induced in the circuit? (b) What is the induced current? Does it circulate clockwise or counter clockwise? (c) What is the magnitude of(d) What are the power output of and the power dissipated in the resistor?
What is the self-inductance per meter of a coaxial cable whose inner radius is 0.50 mm and whose outer radius is 4.00 mm?
The self-inductance and capacitance of an oscillating LC circuit are L = 20 mH and C = 1.0 F , respectively. (a) What is the frequency of the oscillation? (b) If the maximum potential difference the plates of the capacitor is 50 V, what is the maximum current in the circuit?
A 25F capacitor is connected to an emf given by v(t)=(160V)sin(120t) . (a) What is the reactance of the capacitor? (b) Write an expression for the current output of the source.
In Figure 33.9A (page 1052), the switch is closed at a at t = 0. Find an expression for the power dissipated by the resistor as a function of time, and sketch your result. Is the power lost greater as soon as the switch is closed or a long time after it has been closed? Does your answer make sense?
At the instant a current of 0.20 A is flowing through a coil of wire, the energy stored in its magnetic field is 6.0 × 10-3 J. What is the self-inductance of the coil?

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