College Physics
1st Edition
ISBN: 9781938168000
Author: Paul Peter Urone, Roger Hinrichs
Publisher: OpenStax College
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Textbook Question
Chapter 21, Problem 63PE
- The timing device in an automobile’s intermittent wiper system is based on an RC time constant and utilizes
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The timing device in an automobile’s intermittent wiper system is based on an RC time constant and utilizes a 7.00 MΩ resistor. What must the capacitance be to achieve a time constant equal to 2.0 s?
3.8 μF
0.286 μF
1.52 μF
.714 μF
In an RC series circuit, ε = 12.0 V, R = 1.92 MΩ, and C = 1.51 µF. (a) Calculate the time constant. (b) Find the maximum charge that will appear on the capacitor during charging. (c) How long does it take for the charge to build up to 9.98 µC?
In an RC circuit where the capacitor starts uncharged, what proportion of the battery voltage, or emf, is across the resistor after three time constants?
a. 5.0%
b. 63.2%
c. 36.8%
d. 95.0%
Chapter 21 Solutions
College Physics
Ch. 21 - A switch has a variable resistance that is nearly...Ch. 21 - What is the voltage across the open switch in...Ch. 21 - There is a voltage across an open switch, such as...Ch. 21 - Why is the power dissipated by a closed switch,...Ch. 21 - A student in a physics lab mistakenly wired a...Ch. 21 - Knowing that the severity of a shock depends on...Ch. 21 - Would your headlights dim when you start your...Ch. 21 - Some strings of holiday lights are wired in series...Ch. 21 - If two household lightbulbs rated 60 W and 100 W...Ch. 21 - Suppose you are doing a physics lab that asks you...
Ch. 21 - Before World War II, some radios got power through...Ch. 21 - Some light bulbs have three power settings (not...Ch. 21 - Is every emf a potential difference? Is every...Ch. 21 - Explain which battery is doing the charging and...Ch. 21 - Given a battery, an assortment of resistors, and a...Ch. 21 - Two different 12-V automobile batteries on a store...Ch. 21 - What are the advantages and disadvantages of...Ch. 21 - Semitractor trucks use four large 12-V batteries....Ch. 21 - Call all of the currents going into the junction...Ch. 21 - Apply the junction rule to junction b in Figure...Ch. 21 - (a) What is the potential difference going from...Ch. 21 - Apply the loop rule to loop afedcba in Figure...Ch. 21 - Apply the loop rule to loops abgefa and cbgedc in...Ch. 21 - Why should you not connect an ammeter directly...Ch. 21 - Suppose you are using a multimeter (one designed...Ch. 21 - Specify the points to which you could connect a...Ch. 21 - To measure currents in Figure 21.49, you would...Ch. 21 - Why can a null measurement be more accurate than...Ch. 21 - If a potentiometer is used to measure cell emfs on...Ch. 21 - Regarding the units involved in the relationship t...Ch. 21 - The RC time constant in heart defibrillation is...Ch. 21 - When making an ECG measurement, it is important to...Ch. 21 - Draw two graphs of charge versus time on a...Ch. 21 - When charging a capacitor, as discussed in...Ch. 21 - When discharging a capacitor, as discussed in...Ch. 21 - Referring to Figure 21.38, draw a graph of...Ch. 21 - A long, inexpensive extension cord is connected...Ch. 21 - In Figure 21.41. does the graph indicate the time...Ch. 21 - An electronic apparatus may have large capacitors...Ch. 21 - (a) What is the resistance often 275-O resistors...Ch. 21 - (a) What is the resistance of a 1.00 102-O, a...Ch. 21 - What are the largest and smallest resistances you...Ch. 21 - An 1800-W toaster, a 1400-W electric frying pan,...Ch. 21 - Your car’s 30.0-W headlight and 2.40-kW starter...Ch. 21 - (a) Given a48.0-V battery and 24.0-O and 96.0-O...Ch. 21 - Referring to the example combining series and...Ch. 21 - Referring to Figure 21.6: (a) Calculate P3 and...Ch. 21 - Refer to Figure 21.7 and the discussion of lights...Ch. 21 - A 240-kV power transmission line carrying...Ch. 21 - Show that if two resistors R1and R2are combined...Ch. 21 - Unreasonable Results Two resistors, one having a...Ch. 21 - Unreasonable Results Two resistors, one having a...Ch. 21 - Standard automobile batteries have six lead-acid...Ch. 21 - Car bon-zinc dry cells (sometimes referred to as...Ch. 21 - What is the output voltage of a 3.0000-V lithium...Ch. 21 - (a) What is the terminal voltage of a large 1.54-V...Ch. 21 - What is the internal resistance of an automobile...Ch. 21 - (a) Find the terminal voltage of a 12.0-V...Ch. 21 - A car battery with a 12-V emf and an internal...Ch. 21 - The hot resistance of a flashlight bulb is 2.30 ,...Ch. 21 - The label or a portable radio recommends the use...Ch. 21 - An automobile starter motor has an equivalent...Ch. 21 - A child’s electronic toy is supplied by three...Ch. 21 - (a) What is the internal resistance of a voltage...Ch. 21 - A person with body resistance between his hands of...Ch. 21 - Electric fish generate current with biological...Ch. 21 - Integrated Concepts A 12.0-V emf automobile...Ch. 21 - Unreasonable Results A 1.58-V alkaline cell with a...Ch. 21 - Unreasonable Results (a) What is the internal...Ch. 21 - Apply the loop rule to loop abcdefgha in Figure...Ch. 21 - Apply the loop rule to loop aedcba in Figure...Ch. 21 - Verify the second equation in Example 21.5 by...Ch. 21 - Verify the third equation in Example 21.5 by...Ch. 21 - Apply the junction rule at point a in Figure...Ch. 21 - Apply the loop rule to loop abcdefghija in Figure...Ch. 21 - Apply the loop rule to loop akledcba in Figure...Ch. 21 - Find the currents flowing in the circuit in Figure...Ch. 21 - Solve Example 21.5, but use loop abcdefgha instead...Ch. 21 - Find the currents flowing in the circuit in Figure...Ch. 21 - Unreasonable Results Consider the circuit in...Ch. 21 - What is the sensitivity of the galvanometer (that...Ch. 21 - What is the sensitivity of the galvanometer (that...Ch. 21 - Find the resistance that must be placed in series...Ch. 21 - Find the resistance that must be placed in series...Ch. 21 - Find the resistance that must be placed in series...Ch. 21 - Find the resistance that must be placed in...Ch. 21 - Find the resistance that must be placed in series...Ch. 21 - Find the resistance that must be placed in...Ch. 21 - Suppose you measure the terminal voltage of a...Ch. 21 - Suppose you measure the terminal voltage of a...Ch. 21 - A certain ammeter has a resistance of 5.00X10-5 ...Ch. 21 - A 1,00-?O voltmeter is placed in parallel with a...Ch. 21 - A 0.0200- ammeter is placed in series with a...Ch. 21 - Unreasonable Results Suppose you have a 40.0-...Ch. 21 - Unreasonable Results (a) What resistance would you...Ch. 21 - What is the emf x of a cell being measured in a...Ch. 21 - Calculate the emfx of a dry cell for which a...Ch. 21 - When an unknown resistance Rxis placed in a...Ch. 21 - To what value must you adjust R3to balance a...Ch. 21 - (a) What is the unknown emfx in a potentiometer...Ch. 21 - Suppose you want to measure resistances in the...Ch. 21 - The timing device in an automobile’s intermittent...Ch. 21 - A heart pacemaker fires 72 times a minute, each...Ch. 21 - The duration of a photographic flash is related to...Ch. 21 - A 2.00- and a 7.50-F capacitor can be connected in...Ch. 21 - After two time constants, what percentage of the...Ch. 21 - A 500- resistor, an uncharged 1.50-F capacitor and...Ch. 21 - A heart defibrillator being used on a patient has...Ch. 21 - An ECG monitor must have an RC time constant less...Ch. 21 - Figure 21.55 shows how a bleeder resistor is used...Ch. 21 - Using the exact exponential treatment, find how...Ch. 21 - Using the exact exponential treatment, find how...Ch. 21 - Integrated Concepts If you wish to take a picture...Ch. 21 - Integrated Concepts A flashing lamp in a Christmas...Ch. 21 - Integrated Concepts A 160F capacitor charged to...Ch. 21 - Unreasonable Results (a) Calculate the capacitance...Ch. 21 - Construct Your Own Problem Consider a camera's...Ch. 21 - Construe! Your Own Problem Consider a rechargeable...
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- The values of the components in a simple series RC circuit containing a switch (Fig. P21.53) are C = 1.00 F, R = 2.00 106 , and = 10.0 V. At the instant 10.0 s after the switch is closed, calculate (a) the charge on the capacitor, (b) the current in the resistor, (c) the rate at which energy is being stored in the capacitor, and (d) the rate at which energy is being delivered by the battery.arrow_forwardConsider a series RC circuit as in Figure P18.35 for which R = 1.00 M, C = 5.00 F, and = 30.0 V. Find (a) the time constant of the circuit and (b) the maximum charge on the capacitor after the switch is thrown closed. (c) Find the current in the resistor 10.0 s after the switch is closed. Figure P18.35 Problem 35 and 38.arrow_forwardIn an RC series circuit, ℰ = 15.0 V, R = 2.00 MΩ, and C = 1.80 μF. (a) Calculate the time constant. _____________s(b) Find the maximum charge that will appear on the capacitor during charging. ___________μC(c) How long does it take for the charge to build up to 12.0 μC? ___________s (please show the units when working through the problem so that I can follow it easier)arrow_forward
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- The switch on an RC circuit is closed at t = 0.Given that E = 9.0 V, R = 99 Ωand C = 28 μF , how much charge is on the capacitor at time t= 4.2 ms?arrow_forwardAn uncharged capacitor and a resistor are connected in seriesto a source of emf. If ε = 9.00 V, C = 20.0 µF, and R = 1.00 x102 Ω, find (a) the time constant of the circuit, (b) the maximumcharge on the capacitor, and (c) the charge on thecapacitor after one time constant.arrow_forwardAn ECG monitor must have an RC time constant less than 1.00 × 102 μs so it can measure variations in voltage over small time intervals. If the resistance of the circuit (due mostly to that of the patient’s chest) is 0.85 kΩ, what is the maximum capacitance of the circuit in F?arrow_forward
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