University Physics (14th Edition)
14th Edition
ISBN: 9780133969290
Author: Hugh D. Young, Roger A. Freedman
Publisher: PEARSON
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Question
Chapter 31, Problem 31.42P
To determine
The amplitude of current in the solenoid.
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A long, straight solenoid with a cross-sectional area of 8.00 cm2 is wound with 90 turns of wire per centimeter, and the windings carry a current of 0.350 A. A second winding of 12 turns encircles the solenoid at its center. The current in the solenoid is turned off such that the magnetic field of the solenoid becomes zero in 0.0400 s. What is the average induced emf in the second winding?
A very long, straight solenoid with a cross sectional area of 1.92 cm2 is wound with 92.1 turns of wire per centimeter. Starting at t=0, the current in the solenoid is increasing according to i(t) = (0.180 A/s2)t2. A secondary winding of 5 turns encircles the solenoid at its center, such that the secondary winding has the same cross sectional area as the solenoid.
What is the magnitude of the emf induced in the secondary winding at the instant that the current in the solenoid is 3.2 A ?
|E| = ________
A solenoid of length 3.70 cm and diameter 0.760 cm is wound with 272 turns per centimeter.
A) If the current in the solenoid is decreasing at a rate of 38.8 A/s, what is the induced emf in one of the windings?
B) If the current in the solenoid is decreasing at a rate of 38.8 A/s, what is the induced emf in the entire solenoid?
Chapter 31 Solutions
University Physics (14th Edition)
Ch. 31 - Household electric power in most of western Europe...Ch. 31 - The current in an ac power line changes direction...Ch. 31 - In an ac circuit, why is the average power for an...Ch. 31 - Equation (31.14) was derived by using the...Ch. 31 - Prob. Q31.5DQCh. 31 - Equation (31.9) says that ab = L di/dt (see Fig....Ch. 31 - Is it possible for the power factor of an L-R-C...Ch. 31 - In an L-R-C series circuit, can the instantaneous...Ch. 31 - In an L-R-C series circuit, what are the phase...Ch. 31 - When an L-R-C series circuit is connected across a...
Ch. 31 - Prob. Q31.11DQCh. 31 - A light bulb and a parallel-plate capacitor with...Ch. 31 - A coil of wire wrapped on a hollow tube and a...Ch. 31 - A circuit consists of a light bulb, a capacitor,...Ch. 31 - A circuit consists of a light bulb, a capacitor,...Ch. 31 - Prob. Q31.16DQCh. 31 - An ideal transformer has N1, windings in the...Ch. 31 - An inductor, a capacitor, and a resistor are all...Ch. 31 - You want to double the resonance angular frequency...Ch. 31 - Prob. 31.1ECh. 31 - A sinusoidal current i = I cos t has an rms value...Ch. 31 - The voltage across the terminals of an ac power...Ch. 31 - A capacitor is connected across an ac source that...Ch. 31 - An inductor with L = 9.50 mH is connected across...Ch. 31 - A capacitance C and an inductance L are operated...Ch. 31 - Kitchen Capacitance. The wiring for a refrigerator...Ch. 31 - (a) Compute the reactance of a 0.450-H inductor at...Ch. 31 - (a) What is the reactance of a 3.00-H inductor at...Ch. 31 - A Radio Inductor. You want the current amplitude...Ch. 31 - A 0.180-H inductor is connected in series with a...Ch. 31 - A 250- resistor is connected in series with a...Ch. 31 - A 150- resistor is connected in series with a...Ch. 31 - You have a 200- resistor, a 0.400-H inductor, and...Ch. 31 - The resistor, inductor, capacitor, and voltage...Ch. 31 - Prob. 31.16ECh. 31 - In an L-R-C series circuit, the rms voltage across...Ch. 31 - A resistor with R = 300 and an inductor are...Ch. 31 - The power of a certain CD player operating at 120...Ch. 31 - In an L-R-C series circuit, the components have...Ch. 31 - (a) Show that for an L-R-C series circuit the...Ch. 31 - (a) Use the results of part (a) of Exercise 31.21...Ch. 31 - An L-R-C series circuit with L = 0.120 H, R = 240...Ch. 31 - An L-R-C series circuit is connected to a 120-Hz...Ch. 31 - A series ac circuit contains a 250- resistor, a...Ch. 31 - In an L-R-C series circuit the source is operated...Ch. 31 - Analyzing an L-R-C Circuit. You have a 200-...Ch. 31 - An L-R-C series circuit is constructed using a...Ch. 31 - In an L-R-C series circuit, R = 300, L = 0.400 H,...Ch. 31 - An L-R-C series circuit consists of a source with...Ch. 31 - In an L-R-C series circuit, R = 150 , L = 0.750 H,...Ch. 31 - In an L-R-C series circuit, R = 400 , L = 0.350 H,...Ch. 31 - In an L-R-C series circuit, L = 0.280 H and C =...Ch. 31 - Section 31.6 Transformers 31.34Off to Europe! You...Ch. 31 - A Step-Down Transformer. A transformer connected...Ch. 31 - A Step-Up Transformer. A transformer connected to...Ch. 31 - A coil has a resistance of 48.0 . At a frequency...Ch. 31 - Prob. 31.38PCh. 31 - An L-R-C series circuit has C = 4.80 F, L = 0.520...Ch. 31 - Five infinite-impedance voltmeters, calibrated to...Ch. 31 - CP A parallel-plate capacitor having square plates...Ch. 31 - Prob. 31.42PCh. 31 - A series circuit has an impedance of 60.0 and a...Ch. 31 - A large electromagnetic coil is connected to a...Ch. 31 - In an L-R-C series circuit, R = 300 , XC = 300 ,...Ch. 31 - At a frequency 1, the reactance of a certain...Ch. 31 - A High-Pass Filter. One application of L-R-C...Ch. 31 - A Low-Pass Filter. Figure P31.48 shows a low-pass...Ch. 31 - An L-R-C series circuit is connected to an ac...Ch. 31 - An L-R-C series circuit is connected to an ac...Ch. 31 - In an L-R-C series circuit the magnitude of the...Ch. 31 - In an L-R-C series circuit, the phase angle is...Ch. 31 - An L-R-C series circuit has R = 500 . L = 2.00 H,...Ch. 31 - The L-R-C Parallel Circuit. A resistor, an...Ch. 31 - The impedance of an L-R-C parallel circuit was...Ch. 31 - A 400- resistor and a 6.00-F capacitor are...Ch. 31 - An L-R-C series circuit consists of a 2.50-F...Ch. 31 - An L-R-C series circuit has R = 60.0 , L = 0.800...Ch. 31 - In an L-R-C series circuit, the source has a...Ch. 31 - In an L-R-C series ac circuit, the source has a...Ch. 31 - A resistance R, capacitance C, and inductance L...Ch. 31 - The Resonance Width. Consider an L-R-C series...Ch. 31 - An L-R-C series circuit draws 220 W from a 120-V...Ch. 31 - DATA A coworker of yours was making measurements...Ch. 31 - DATA You are analyzing an ac circuit that contains...Ch. 31 - DATA You are given this table of data recorded for...Ch. 31 - CALC In an L-R-C series circuit the current is...Ch. 31 - CALC (a) At what angular frequency is the voltage...Ch. 31 - Prob. 31.69PPCh. 31 - If the electrode oscillates between two points 20...Ch. 31 - The signal from the oscillating electrode is fed...Ch. 31 - If the frequency at which the electrode is...
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- A long solenoid with n= 10 turns per centimeter has a cross-sectional area of 5.0 cm2and carries a current of 0.25 A. A coil with five turns encircles the solenoid. When the current through the solenoid is turned off, it decreases to zero in 0.050 s. What is the average emf induced in the coil?arrow_forwardAn aluminum ring of radius r1 = 5.00 cm and resistance 3.00 104 is placed around one end of a long air-core solenoid with 1 000 turns per meter and radius r2 = 3.00 cm as shown in Figure P30.5. Assume the axial component of the field produced by the solenoid is one-half as strong over the area of the end of the solenoid as at the center of the solenoid. Also assume the solenoid produces negligible field outside its cross-sectional area. The current in the solenoid is increasing at a rate of 270 A/s. (a) What is the induced current in the ring? At the center of the ring, what are (b) the magnitude and (c) the direction of the magnetic field produced by the induced current in the ring? Figure P30.5 Problems 5 and 6.arrow_forwardIn the LC circuit in Figure 33.11, the inductance is L = 19.8 mH and the capacitance is C = 19.6 mF. At some moment, UB = UE= 17.5 mJ. a. What is the maximum charge stored by the capacitor? b. What is the maximum current in the circuit? c. At t = 0, the capacitor is fully charged. Write an expression for the charge stored by the capacitor as a function of lime. d. Write an expression for the current as a function of time.arrow_forward
- A rectangular toroid with inner radius R1= 7.0cm, outer radius R2= 9.0cm, height h = 3.0, and N=3.0, and N = 3000 turns is filled with an iron core a magnetic susceptibility 5.2 × 103. (a) What is the self-inductance of the toroid? (b) If the current through the toroid is 2.0 A, what is the magnetic field at the center of the core? (c) For this same 2.0-A current, what is the effective surface current formed by the aligned atomic current loops in the iron core?arrow_forwardA flat loop of wire consisting of a single turn of cross-sectional area 8.00 cm2 is perpendicular to a magnetic field that increases uniformly in magnitude from 0.500 T to 2.50 T in 1.00 s. What is the resulting induced current if the loop has a resistance of 2.00 ?arrow_forwardA long solenoid of radius a with n turns per unit length is carrying a tune-dependent current I(t)=I0sintwhere I0 and are constants. The solenoid is surrounded by a wire of resistance R that has two circular loops of radius b with b>a. Find the magnitude and direction of current induced m the outer loops at tune t=0.arrow_forward
- The self-inductance and capacitance of an LC circuit e 0.20 mH and 5.0 pF. What is the angular frequency at which the circuit oscillates?arrow_forwardA conducting circular loop of wire with radius 0.0300 m and resistance 0.40 Ω sits in a region of spatially uniform magnetic field, as shown in the figure. The magnetic field is directed into the plane of the figure and it changes in time with the expression B(t) = 1.080 T - (0.360 T/s )∙t (here T represents the unit Tesla and t is the time)a) Give the magnetic flux through the loop as a function of time.b) Give the EMF induced in the loop as a function of time.c) Calculate the induced current at time t = 1.0 s. Show the steps that lead to youranswers.d) What is the direction of the current in the loop at t = 1.0 s? Explain/justify youranswerarrow_forwardA solenoid with 1200 turns per meter has a diameter of 7.00 cm. A current I = 2.35 A flows in the counterclockwise direction in the solenoid. A rectangular loop of length L = 16.0 cm, width w = 12.5 cm, and 2 turns is centered on the axis of the solenoid. (a) Find the magnitude of the magnetic flux through the loop. Wb(b) When the current is increased to 5.51 A, the magnitude of the induced emf in the rectangular loop is 116 mV. How long did it take for the current to get to this value? ms(c) What is the direction of the induced current in the rectangular loop as viewed from the location P? counterclockwise clockwise no currentarrow_forward
- In a model AC generator, a 495 turn rectangular coil 10.0 cm by 23 cm rotates at 123 rev/min in a uniform magnetic field of 0.55 T. (a) What is the maximum emf induced in the coil? (b) What is the instantaneous value of the emf in the coil at t = (?/33) s? Assume that the emf is zero at t = 0. (c) What is the smallest value of t for which the emf will have its maximum value?arrow_forwardTwo identical long wires of radius a =1.53 mm are parallel and carry identical currents in opposite directions.Their center-to-center separation is d = 14.2 cm. Neglect the flux within the wires but consider the flux in the region between the wires.What is the inductance per unit length of the wires?arrow_forwardThe plane of a conductive loop with an area of 0.020 m^2 is perpendicular to a uniform magnetic field of 0.30 T. If the field drops to zero in 0.0045 s , what is the magnitude of the average emf induced in the loop?arrow_forward
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