College Physics
OER 2016 Edition
ISBN: 9781947172173
Author: OpenStax
Publisher: OpenStax College
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Textbook Question
Chapter 23, Problem 99PE
What inductance do you need to produce a resonant frequency of 60.0 Hz, when using a 2.00 μF capacitor?
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Chapter 23 Solutions
College Physics
Ch. 23 - How do the multiple-loop coils and iron ring in...Ch. 23 - When a magnet is thrust into a coil as in Figure...Ch. 23 - Explain how magnetic flux can be zero when the...Ch. 23 - Is an emf induced in the coil in Figure 23.54 when...Ch. 23 - A person who works with large magnets sometimes...Ch. 23 - A particle accelerator sends highvelocity charged...Ch. 23 - Why must pan of the circuit be moving relative to...Ch. 23 - A powerful induction cannon can be made by placing...Ch. 23 - An induction slave heats a pot with a coil...Ch. 23 - Explain how you could thaw out a frozen water pipe...
Ch. 23 - Explain why magnetic damping might not be...Ch. 23 - Explain how electromagnetic induction can be used...Ch. 23 - Using RHR-l, show that the emfs in the sides of...Ch. 23 - The source of a generator’s electrical energy...Ch. 23 - Suppose you find that the belt drive connecting a...Ch. 23 - Explain what causes physical vibrations in...Ch. 23 - Does plastic insulation on live/hot wires prevent...Ch. 23 - Why are ordinary circuit breakers and fuses...Ch. 23 - A GFI may trip just because the live/hot and...Ch. 23 - How would you place two identical flat coils in...Ch. 23 - How would you shape a given length of wire to give...Ch. 23 - €22. Verify, as was concluded without proof in...Ch. 23 - Presbycusis is a hearing loss due to age that...Ch. 23 - Would you use a large inductance or a large...Ch. 23 - High-frequency noise in AC power can damage...Ch. 23 - Does inductance depend on current, frequency, or...Ch. 23 - Explain why the capacitor in Figure 23.55(a) acts...Ch. 23 - If the capacitors in Figure 23.55 are replaced by...Ch. 23 - Does the resonant frequency of an AC circuit...Ch. 23 - Suppose you have a motor with a power factor...Ch. 23 - What is the value of the magnetic flux at coil 2...Ch. 23 - What is the value of the magnetic flux through the...Ch. 23 - Referring to Figure 23.5?(a), what is the...Ch. 23 - Referring to Figure 23.57(b), what is the...Ch. 23 - Referring to Figure 23.58, what are the directions...Ch. 23 - Repeat the previous problem with the battery...Ch. 23 - Verify that the units /t are volts. That is, show...Ch. 23 - Suppose a 50-turn coil lies in the plane of the...Ch. 23 - (a) An MRI technician moves his hand from a region...Ch. 23 - Integrated Concepts Referring to the situation in...Ch. 23 - An emf is induced by rotating a 1000-turn, 20.0 cm...Ch. 23 - A 0.250 m radius, 500-turn coil is rotated...Ch. 23 - Integrated Concepts Approximately how does the emf...Ch. 23 - Integrated Concepts A lightning bolt produces a...Ch. 23 - Use Faraday’s law, Lenz’s law, and RHR—l to show...Ch. 23 - If a current flows in the Satellite Tether shown...Ch. 23 - (a) A jet airplane with a 75.0 m wingspan is...Ch. 23 - (a) A nonferrous screwdriver is being used in a...Ch. 23 - At what speed must the sliding rod in Figure 23.11...Ch. 23 - The 12.0 cm long rod in Figure 23.11 moves at 4.00...Ch. 23 - Prove that when B, l, and v are not mutually...Ch. 23 - In the August 1992 space shuttle flight, only 250...Ch. 23 - Integrated Concepts Derive an expression for the...Ch. 23 - Integrated Concepts The Tethered Satellite in...Ch. 23 - Integrated Concepts The Tethered Satellite...Ch. 23 - Make a drawing similar to Figure 23.14, but with...Ch. 23 - Figure 23.59 A coil is moved into and out of a...Ch. 23 - Calculate the peak voltage of a generator that...Ch. 23 - At what angular velocity in rpm will the peak...Ch. 23 - What is the peak emf generated by rotating a...Ch. 23 - What is the peak emf generated by a 0.250 m...Ch. 23 - (a) A bicycle generator rotates at 1875 rad/s,...Ch. 23 - Integrated Concepts This problem refers to the...Ch. 23 - (a) A car generator turns at 400 rpm when 1he...Ch. 23 - Show that if a coil rotates at an angular velocity...Ch. 23 - A 75-turn, 10.0 cm diameter coil rotates at an...Ch. 23 - (a) If the emf of a coil rotating in a magnetic...Ch. 23 - Unreasonable Results A 500-turn coil with a 0.250...Ch. 23 - Suppose a motor connected to a 120 V source draws...Ch. 23 - A motor operating on 240 V electricity has a 180 V...Ch. 23 - What is the back emf of a 120 V motor that draws...Ch. 23 - The motor in a toy car operates on 6.00 V....Ch. 23 - Integrated Concepts The motor in a toy car is...Ch. 23 - A plug—in transformer, like that in Figure 23.29,...Ch. 23 - An American traveler in New Zealand carries a...Ch. 23 - A cassette recorder uses a plug-in transformer to...Ch. 23 - (a) What is the voltage output of a transformer...Ch. 23 - (a) The plug-in transformer for a laptop computer...Ch. 23 - A multipurpose transformer has a secondary coil...Ch. 23 - A large power plant generates electricity at 12.0...Ch. 23 - If the power output in the previous problem is...Ch. 23 - Unreasonable Results The 335 kV AC electricity...Ch. 23 - Construct Your Own Problem Consider a double...Ch. 23 - Integrated Concepts A short circuit to the...Ch. 23 - Two coils are placed close together in a physics...Ch. 23 - If two coils placed next to one another have a...Ch. 23 - The 4.00 A current through a 7.50 mH inductor is...Ch. 23 - A device is turned on and 3.00 A flows through it...Ch. 23 - Starting with emf2=MI1t, show that the units of...Ch. 23 - Camera flashes charge a capacitor to high voltage...Ch. 23 - A large research solenoid has a self-inductance of...Ch. 23 - (a) Calculate the self-inductance of a 50.0 cm...Ch. 23 - A precision laboratory resistor is made of a coil...Ch. 23 - The healing coils in a hair dryer are 0.800 cm in...Ch. 23 - When the 20.0 A current through an inductor is...Ch. 23 - How fast can the 150 A current through a 0.250 H...Ch. 23 - Integrated Concepts A very large, superconducting...Ch. 23 - Unreasonable Results A 25.0 H inductor has 100 A...Ch. 23 - It you want a characteristic RL time constant of...Ch. 23 - Your RL circuit has a characteristic time constant...Ch. 23 - A large superconducting magnet, used for magnetic...Ch. 23 - Verify that alter a time of 10.0 ms, the current...Ch. 23 - Suppose you have a supply of inductors ranging...Ch. 23 - (a) What is the characteristic time constant of a...Ch. 23 - What percentage of the final current I0 flows...Ch. 23 - The 5.00 A current through a 1.50 H inductor is...Ch. 23 - (a) Use the exact exponential treatment to find...Ch. 23 - (a) Using the exact exponential treatment, find...Ch. 23 - At what frequency will a 30.0 mH inductor have a...Ch. 23 - What value of inductance should be used if a 20.0...Ch. 23 - What capacitance should be used to produce a 2.00...Ch. 23 - At what frequency will an 80.0 mF capacitor have a...Ch. 23 - (a) Find me current through a 0.500 H inductor...Ch. 23 - (a) What current flows when a 60.0 Hz, 480 V AC...Ch. 23 - A 20.0 kHz, 16.0 V source connected to an inductor...Ch. 23 - A 20.0 HZ, 16.0 V source produces a 2.00 mA...Ch. 23 - (a) An inductor designed to filter high-frequency...Ch. 23 - The capacitor in Figure 23.55(a) is designed to...Ch. 23 - The capacitor in Figure 23.55(b) will filler...Ch. 23 - Unreasonable Results In a recording of voltages...Ch. 23 - Construct Your Own Problem Consider the use of an...Ch. 23 - An RL circuit consists of a 40.0 (resistor and a...Ch. 23 - An RC circuit consists of a 40.0 (resistor and a...Ch. 23 - An LC circuit consists of a 3.00 mH inductor and a...Ch. 23 - What is the resonant frequency of a 0.500 mH...Ch. 23 - To receive AM radio, you want an RLC circuit that...Ch. 23 - Suppose you have a supply of inductors ranging...Ch. 23 - What capacitance do you need to produce a resonant...Ch. 23 - What inductance do you need to produce a resonant...Ch. 23 - The lowest frequency in the FM radio band is 88.0...Ch. 23 - An RLC series circuit has a 2.50 (resistor, a 100...Ch. 23 - An RLC series circuit hag a 1.00 k(register, a 150...Ch. 23 - An RLC series circuit has a 2.50 (resistor, a 100...Ch. 23 - An RLC series circuit has a 1.00 k(resistor, a...Ch. 23 - An RLC series circuit has a 200 (resistor and a...Ch. 23 - Referring to Example 23.14, find the average power...Ch. 23 - Prob. 1TPCh. 23 - Prob. 2TPCh. 23 - Prob. 3TPCh. 23 - Prob. 4TPCh. 23 - Prob. 5TPCh. 23 - Prob. 6TPCh. 23 - Prob. 7TPCh. 23 - Prob. 8TP
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- The emf of an ac source is given by v(t)=V0sint, where V0=100V and =200 . Find an expression that represents the output current of the source if it is connected across (a) a 20-pF capacitor, (b) a 20-mH inductor, and (c) a 50 resistor.arrow_forwardAt 1000 Hz, the reactance of a 5.0-mH inductor is equal to the reactance of a particular capacitor. What is the capacitance of the capacitor?arrow_forwardAn RLC series circuit consists of a 50 resistor, a 200F capacitor, and a 120-mN inductor whose coil has a resistance of 20. The source for the circuit has an tins emf of 240 V at a frequency of 60 Hz. Calculate the tins voltages across the (a) resistor, (b) capacitor, and (c) inductor.arrow_forward
- At s1iat frequency is the reactance of a 20F capacitor equal to that of a 10-mH inductor?arrow_forwardA series RLC circuit has resistance R = 50.0 and inductance L. = 0.500 H. (a) Find the circuits capacitance C if the voltage source operates at a frequency of f = 60.0 Hz and the impedance is Z = R = 50.0 . (b) What is the phase angle between the current and the voltage?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
- 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 1.5k resistor and 30-mH inductor are connected in series, as below, across a120-V(rms)ac power source oscillating at 60-Hz frequency. (a) Find the current in the circuit. (b) Find the voltage drops across the resistor and inductor. (C) Find the impedance of the circuit. (d) Find the power dissipated in the resistor. (e) Find the power dissipated in the inductor. (1) Find the power produced by the source.arrow_forwardProblems 71 and 72 paired. Figure P33.71 shows a series RLC circuit with a 25.0- resistor, a 430.0-mH inductor, and a 24.0-F capacitor connected to an AC source with Vmax = 60.0 V operating at 60.0 Hz. What is the maximum voltage across the a. resistor, b. inductor, and c. capacitor in the circuit? FIGURE P33.71 Problems 71 and 72.arrow_forward
- In a purely inductive AC circuit as shown in Figure P21.15, Vmax = 100. V. (a) The maximum current is 7.50 A at 50.0 Hz. Calculate the inductance L. (b) At what angular frequency is the maximum current 2.50A? Figure p21.15arrow_forwardThe 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?arrow_forwardIn the transformer shown in Figure P33.51, the load resistance RL is 50.0 . The turns ratio N1/N2 is 2.50, anti the rms source voltage is Vs = 80.0 V. If a voltmeter across the load resistance measures an rms voltage of 25.0 V, what is the source resistance Rs?arrow_forward
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