College Physics
11th Edition
ISBN: 9781305952300
Author: Raymond A. Serway, Chris Vuille
Publisher: Cengage Learning
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Textbook Question
Chapter 18, Problem 5CQ
Figure CQ18.5
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You connect a battery, resistor, and capacitor as in (Figure 1), where E = 46.0 V, C = 5.00 μF, and R = 130 Ω. The switch S is closed at t = 0.
When the voltage across the capacitor is 8.00 VV, what is the magnitude of the current in the circuit?
At what time tt after the switch is closed is the voltage across the capacitor 8.00 V?
When the voltage across the capacitor is 8.00 V, at what rate is energy being stored in the capacitor?
Three resistors connected in parallel each carry currents labeled I1, I2 and I3. Which of the following expresses the value of the total current IT in the combined system?
a. IT = I1 + I2 + I3
b. IT = (1/I1 + 1/I2 + 1/I3)
c. IT = I1 = I2 = I3
d. IT = (1/I1 + 1/I2 + 1/I3)-1
You connect a battery, resistor, and capacitor as in (Figure 1), where R = 14.0 Ω and C = 3.00 ×10^-6 F. The switch S is closed at t = 0. When the current in the circuit has magnitude 3.00 A, the charge on the capacitor is 40.0 × 10^−6 C.
At what time t after the switch is closed is the charge on the capacitor equal to 40.0 x 10^-6 C?
When the current has magnitude 3.00 A, at what rate is energy being stored in the capacitor?
Chapter 18 Solutions
College Physics
Ch. 18.1 - True or False: While discharging, the terminal...Ch. 18.1 - Why does a battery get warm while in use?Ch. 18.2 - In Figure 18.5, the current is measured with the...Ch. 18.2 - The circuit in Figure 18.5 consists of two...Ch. 18.3 - In Figure 18.8, the current is measured with the...Ch. 18.3 - When the switch is open in Figure 18.8, power Po...Ch. 18.3 - Suppose you have three identical lightbulbs, some...Ch. 18.3 - If the lightbulbs in Quick Quiz 18.7 are connected...Ch. 18.5 - The switch is closed in Figure 18.20. After a long...Ch. 18 - Choose the words that make each statement correct....
Ch. 18 - Given three lightbulbs and a battery, sketch as...Ch. 18 - Suppose the energy transferred to a dead battery...Ch. 18 - A short circuit is a circuit containing a path of...Ch. 18 - Electric current I enters a node with three...Ch. 18 - If electrical power is transmitted over long...Ch. 18 - The following statements are related to household...Ch. 18 - Two sets of Christmas lights are available. For...Ch. 18 - Why is it possible for a bird to sit on a...Ch. 18 - An uncharged series RC circuit is to be connected...Ch. 18 - Suppose a parachutist lands on a high-voltage wire...Ch. 18 - A ski resort consists of a few chairlifts and...Ch. 18 - Embodied in Kirchhoffs rules are two conservation...Ch. 18 - Why is it dangerous to turn on a light when you...Ch. 18 - A battery haring an emf of 9.00 V delivers 117 mA...Ch. 18 - Prob. 2PCh. 18 - A battery with an emf of 12.0 V has a terminal...Ch. 18 - A battery with a 0.100- internal resistance...Ch. 18 - Two resistors, R1 and R2 are connected in series....Ch. 18 - Three 9.0- resistors are connected in series with...Ch. 18 - (a) Find the equivalent resistance between points...Ch. 18 - Consider the combination of resistors shown in...Ch. 18 - Prob. 9PCh. 18 - Consider the circuit shown in Figure P18.10. (a)...Ch. 18 - Consider the circuit shown in Figure P18.11. Find...Ch. 18 - Four resistors are connected to a battery as shown...Ch. 18 - The resistance between terminals a and b in Figure...Ch. 18 - A battery with = 6.00 V and no internal...Ch. 18 - Find the current in the 12- resistor in Figure...Ch. 18 - (a) Is it possible to reduce the circuit shown in...Ch. 18 - (a) You need a 45- resistor, but the stockroom has...Ch. 18 - (a) Find the current in each resistor of Figure...Ch. 18 - Figure P18.19 shows a Wheatstone bridge, a circuit...Ch. 18 - For the circuit shown in Figure P18.20, calculate...Ch. 18 - Taking R = 1.00 k and = 250 V in Figure P18.21,...Ch. 18 - In the circuit of Figure P18.22, the current I1 is...Ch. 18 - In the circuit of Figure P18.23, determine (a) the...Ch. 18 - Four resistors are connected to a battery with a...Ch. 18 - Using Kirchhoffs rules (a) find the current in...Ch. 18 - Figure P18.26 shows a voltage divider, a circuit...Ch. 18 - (a) Can the circuit shown in Figure P18.27 be...Ch. 18 - A dead battery is charged by connecting it to the...Ch. 18 - (a) Can the circuit shown in Figure P18.29 be...Ch. 18 - For the circuit shown in Figure P18.30, use...Ch. 18 - Find the potential difference across each resistor...Ch. 18 - Show that = RC has units of time.Ch. 18 - Consider the series RC circuit shown in Figure...Ch. 18 - An uncharged capacitor and a resistor are...Ch. 18 - Consider a series RC circuit as in Figure P18.35...Ch. 18 - The RC charging circuit in a camera flash unit has...Ch. 18 - Figure P18.37 shows a simplified model of a...Ch. 18 - The capacitor in Figure P18.35 is uncharged for t ...Ch. 18 - What minimum number of 75-W light bulbs must be...Ch. 18 - A 1 150-W toaster and an 825-W microwave oven are...Ch. 18 - Prob. 41PCh. 18 - Prob. 42PCh. 18 - Assume a length of axon membrane of about 0.10 m...Ch. 18 - Consider the model of the axon as a capacitor from...Ch. 18 - Prob. 45PCh. 18 - How many different resistance values can be...Ch. 18 - (a) Calculate the potential difference between...Ch. 18 - For the circuit shown in Figure P18.48, the...Ch. 18 - Figure P18.49 shows separate series and parallel...Ch. 18 - Three 60.0-W, 120-V lightbulbs are connected...Ch. 18 - When two unknown resistors are connected in series...Ch. 18 - The circuit in Figure P18.52a consists of three...Ch. 18 - A circuit consists of three identical lamps, each...Ch. 18 - The resistance between points a and b in Figure...Ch. 18 - The circuit in Figure P18.55 has been connected...Ch. 18 - Prob. 56APCh. 18 - The student engineer of a campus radio station...Ch. 18 - The resistor R in Figure P18.58 dissipates 20 W of...Ch. 18 - A voltage V is applied to a series configuration...Ch. 18 - For the network in Figure P18.60, show that the...Ch. 18 - A battery with an internal resistance of 10.0 ...Ch. 18 - The circuit in Figure P18.62 contains two...Ch. 18 - An electric eel generates electric currents...Ch. 18 - In Figure P18.64, R1 = 0.100 , R2 = 1.00 , and R3...Ch. 18 - What are the expected readings of the ammeter and...Ch. 18 - Consider the two arrangements of batteries and...Ch. 18 - The given pair of capacitors in Figure P18.67 is...Ch. 18 - 2.00-nF capacitor with an initial charge of 5.10 C...
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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_forwardFigure P18.37 shows a simplified model of a cardiac defibrillator, a device used to patients in ventricular fibrillation. When the switch S is toggled to the left, the capacitor C charges through the resistor R .When the switch is toggled to the right, the capacitor discharges current through the patients torso, modeled as the resistor Rtorso, allowing the hearts normal rhythm to be reestablished. (a) If the capacitor is initially uncharged with C = 8.00 F and = 1250 V, find the value of R required to charge the capacitor to a voltage of 775 V in 1.50 s. (b) If the capacitor is then discharged across the patients torso with, Rtorso = 1250 , calculate the voltage across the capacitor after 5.00 ms. Figure P18.37arrow_forwardWhen the switch is open in Figure 18.8, power Po is delivered to the resistor R1. When the switch is closed, which of the following is true about the power Pc delivered to R1? (Neglect the internal resistance of the battery.) (a) Pc Po (b) Pc = Po (c) Pc Po Figure 18.8 (Quick Quizzes 18.5 and 18.6)arrow_forward
- An automobile starter motor has an equivalent resistance of 0.0500 and is supplied by a 12.0-V battery with a 0.0100- internal resistance, (a) What is thecurrent to the motor? (b) What voltage is applied to it? (c) What power is supplied to the motor? (d) Repeat these calculations for when the battery connections are corroded and add 0.0900 to the circuit. (Significant problems are caused by even small amounts of unwanted resistance in low-voltage, high-current applications.)arrow_forwardFigure P18.37 shows a simplified model of a cardiac defibrillator, a device used to patients in ventricular fibrillation. When the switch S is toggled to the left, the capacitor C charges through the resistor R .When the switch is toggled to the right, the capacitor discharges current through the patients torso, modeled as the resistor Rtorso, allowing the hearts normal rhythm to be reestablished. (a) If the capacitor is initially uncharged with C = 8.00 F and = 1250 V, find the value of R required to charge the capacitor to a voltage of 775 V in 1.50 s. (b) If the capacitor is then discharged across the patients torso with, Rtorso = 1250 , calculate the voltage across the capacitor after 5.00 ms. Figure P18.37arrow_forwardThe circuit contains three resistors, A, B, and C, which have equal resistances. epsilon = 110V. Which resistor generates the most thermal energy after the switch is closed? a.B b.A c.All three generate the same amount of thermal energy. d.C e.A and Barrow_forward
- Three resistors connected in series carry currents labeled I1, I2, and I3, respectively. Which of the following expresses the total current, It, in the system made up of the three resistors in series? a It= I1 + I2 + I3 b It= (1I1 + 1/I2 + 1/I3) c It= I1 = I2 = I3 d It= (1I1 + 1/I2 + 1/I3)–1arrow_forwardYou connect a battery, resistor, and a capacitor as in figure 1, where R= 15.0 ohms and C= 5.00x10^-6 F. The switch S is closed at t=0. When the current in the circuit has magnitude 3.00 A, the charge on the capacitor is 40.0x10^-6 C. (A) what is the emf of the battery? (B) at what time t after the switch is closed is the charge on the capacitor equal to 40.0x10^-6? (C) when the current has magnitude 3.00 A, at what rate is the energy being stored in the capacitor? (D) when the current has magnitude 3.00 A, at what rate is energy being supplied by the battery?arrow_forwardThree resistors connected in series each carry currents labeled I1, I2 and I3. Which of the following expresses the value of the total current IT in the system made up of the three resistors in series? a. IT = I1 + I2 + I3 b. IT = (1/I1 + 1/I2 + 1/I3) c. IT = I1 = I2 = I3 d. IT = (1/I1 + 1/I2 + 1/I3)-1arrow_forward
- A resistor R1 = 10 Ω is connected in parallel with a second resistor R2 = 4R1. This parallel configuration is then connected in series with R3 = R1/5 and across a cell with voltage V = 18 V. What is the current flowing through resistor R3? Select one: a. 1.25 A b. 4.0 A c. 1.8 A d. 360 mAarrow_forwardSwitch S in in the figure is closed at time t = 0, to begin charging an initially uncharged capacitor of capacitance C = 17.2 μF through a resistor of resistance R = 21.2 Ω. At what time is the potential across the capacitor equal to that across the resistor?arrow_forwardThe circuit in Figure P18.62 contains two resistors, R1 = 2.0kΩ and R2 = 3.0 kΩ, and two capacitors, C1 = 2.0 µF and C2 =3.0 µF, connected to a battery with emf ε = 120 V. If there areno charges on the capacitors before switch S is closed, determinethe charges q1 and q2 on capacitors C1 and C2, respectively,as functions of time, after the switch is closed. Hint: Firstreconstruct the circuit so that it becomes a simple RC circuitcontaining a single resistor and single capacitor in series, connectedto the battery, and then determine the total charge qstored in the circuit.arrow_forward
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