University Physics with Modern Physics (14th Edition)
14th Edition
ISBN: 9780321973610
Author: Hugh D. Young, Roger A. Freedman
Publisher: PEARSON
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Textbook Question
Chapter 26, Problem 26.3DQ
You connect a number of identical light bulbs to a flashlight battery, (a) What happens to the brightness of each bulb as more and more bulbs are added to the circuit if you connect them (i) in series and (ii) in parallel? (b) Will the battery last longer if the bulbs are in series or in parallel? Explain your reasoning.
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Six circuits containing a battery and two or more bulbs are shown here.
A. In which circuits are A and B connected in series with each other?
1
2
3
4
5
6
B. In which circuits are A and B connected in parallel with each other?
1
2
3
4
5
6
Bulb A has a resistance of 2 Ω; bulb B has a resistance of 6 Ω; bulb C has a resistance of 5 Ω; the battery has a potential difference of 6 V.
C. What are the total resistance Rtot and the current flowing from the battery I in circuit 1?Rtot = ΩI = A
The circuit in the figure below contains two resistors, R,
2.20 kN and R, = 3.10 kN, and two capacitors, C, = 2.10 µF and C, = 3.10 µF, connected to a
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battery with emf & = 115 V. There are no charges on the capacitors before switch S is closed.
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R2
C2
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(a) Determine the charge on capacitor C, as a function of time (in ms), after the switch is closed. (Use the following as necessary: t.)
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(b) Determine the charge on capacitor C, as a function of time (in ms), after the switch is closed. (Use the following as necessary: t.)
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The initial voltage across the capacitor at t = 0
in the circuit shown in Figure
is 8 V.
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1 kl
Vo =8V
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a. Write a node equation at node 1 by summing
the currents away from node 1. Notice that
the voltage at node 3 is given by v3(t) = v(t).
b. Write a node equation at node 2 by summing
the currents away from node 2. Notice that
the voltage at node 3 is given by v3(!) = v(t).
c. Solve the two node equations from (a) and
(b) to express v,(t) as a function of v(t), and
va(t) as a function of v(t).
d. Write a node equation at node 3 by summing
the currents away from node 3. Use the results
from (c) to simplify the equation as a first-
order differential equation of v(t).
e. Solve the differential equation to find the
voltage v(t), t 2 0, across the capacitor and
plot v(t).
Chapter 26 Solutions
University Physics with Modern Physics (14th Edition)
Ch. 26.1 - Suppose all three of the resistors shown in Fig....Ch. 26.2 - Subtract Eq. (1) from Eq. (2) in Example 26.6. To...Ch. 26.3 - You want to measure the current through and the...Ch. 26.4 - The energy stored in a capacitor is equal to...Ch. 26.5 - To prevent the circuit breaker in Example 26.14...Ch. 26 - In which 120-V light bulb does the filament have...Ch. 26 - Two 120-V light bulbs, one 25-W and one 200-W,...Ch. 26 - You connect a number of identical light bulbs to a...Ch. 26 - In the circuit shown in Fig. Q26.4, three...Ch. 26 - If two resistors R1 and R2 (R2 R1) are connected...
Ch. 26 - If two resistors R1 and R2 (R2 R1) are connected...Ch. 26 - A battery with no internal resistance is connected...Ch. 26 - A resistor consists of three identical metal...Ch. 26 - A light bulb is connected in the circuit shown in...Ch. 26 - A real battery, having nonnegligible internal...Ch. 26 - If the battery in Discussion Question Q26.10 is...Ch. 26 - Consider the circuit shown in Fig. Q26.12. What...Ch. 26 - Is it possible to connect resistors together in a...Ch. 26 - The battery in the circuit shown in Fig. Q26.14...Ch. 26 - In a two-cell flashlight, the batteries are...Ch. 26 - Identical light bulbs A, B, and C are connected as...Ch. 26 - The emf of a flashlight battery is roughly...Ch. 26 - Will the capacitors in the circuits shown in Fig....Ch. 26 - Verify that the time constant RC has units of...Ch. 26 - For very large resistances it is easy to construct...Ch. 26 - When a capacitor, battery, and resistor are...Ch. 26 - A uniform wire of resistance R is cut into three...Ch. 26 - A machine part has a resistor X protruding from an...Ch. 26 - A resistor with R1 = 25.0 is connected to a...Ch. 26 - A 42- resistor and a 20- resistor are connected in...Ch. 26 - A triangular array of resistors is shown in Fig....Ch. 26 - For the circuit shown in Fig. E26.6 both meters...Ch. 26 - For the circuit shown in Fig. E26.7 find the...Ch. 26 - Three resistors having resistances of 1.60 , 2.40...Ch. 26 - Now the three resistors of Exercise 26.8 are...Ch. 26 - Power Rating of a Resistor. The power rating of a...Ch. 26 - In Fig. E26.11, R1, = 3.00 , R2 = 6.00 , and R3=...Ch. 26 - In Fig. E26.11 the battery has emf 35.0 V and...Ch. 26 - Compute the equivalent resistance of the network...Ch. 26 - Compute the equivalent resistance of the network...Ch. 26 - In the circuit of Fig. E26.15, each resistor...Ch. 26 - Consider the circuit shown in Fig. E26.16. The...Ch. 26 - In the circuit shown in Fig. E26.17, the voltage...Ch. 26 - In the circuit shown in Fig. E26.18, = 36.0 V,...Ch. 26 - CP In the circuit in Fig. E26.19, a 20.0- resistor...Ch. 26 - In the circuit shown in Fig. E26.20, the rate at...Ch. 26 - Light Bulbs in Series and in Parallel. Two light...Ch. 26 - Light Bulbs in Series. A 60-W, 120-V light bulb...Ch. 26 - In the circuit shown in Fig. E26.23, ammeter A1...Ch. 26 - The batteries shown in the circuit in Fig. E26.24...Ch. 26 - In the circuit shown in Fig. E26.25 find (a) the...Ch. 26 - Find the emfs 1 and 2 in the circuit of Fig....Ch. 26 - In the circuit shown in Fig. E26.27, find (a) the...Ch. 26 - In the circuit shown in Fig. E26.28, find (a) the...Ch. 26 - The 10.00-V battery in Fig. E26.28 is removed from...Ch. 26 - The 5.00-V battery in Fig. E26.28 is removed from...Ch. 26 - In the circuit shown in Fig. E26.31 the batteries...Ch. 26 - In the circuit shown in Fig. E26.32 both batteries...Ch. 26 - In the circuit shown in Fig. E26.33 all meters are...Ch. 26 - In the circuit shown in Fig. E26.34, the 6.0-...Ch. 26 - The resistance of a galvanometer coil is 25.0 ,...Ch. 26 - The resistance of the coil of a pivoted coil...Ch. 26 - A circuit consists of a series combination of...Ch. 26 - A galvanometer having a resistance of 25.0 has a...Ch. 26 - A capacitor is charged to a potential of 12.0 V...Ch. 26 - You connect a battery, resistor, and capacitor as...Ch. 26 - A 4.60-F capacitor that is initially uncharged is...Ch. 26 - You connect a battery, resistor, and capacitor as...Ch. 26 - CP In the circuit shown in Fig. E26.43 both...Ch. 26 - A 12.4-F capacitor is connected through a 0.895-M...Ch. 26 - An emf source with = 120 V, a resistor with R =...Ch. 26 - A resistor and a capacitor are connected in series...Ch. 26 - CP In the circuit shown in Fig. E26.47 each...Ch. 26 - A 1.50-F capacitor is charging through a 12.0-...Ch. 26 - In the circuit in Fig. E26.49 the capacitors are...Ch. 26 - A 12.0-F capacitor is charged to a potential of...Ch. 26 - In the circuit shown in Fig. E26.51, C = 5.90 F, ...Ch. 26 - Prob. 26.52ECh. 26 - A 1500-W electric beater is plugged into the...Ch. 26 - In Fig. P26.54, the battery has negligible...Ch. 26 - The two identical light bulbs in Example 26.2...Ch. 26 - Each of the three resistors in Fig. P26.56 has a...Ch. 26 - (a) Find the potential of point a with respect to...Ch. 26 - CP For the circuit shown in Fig. P26.58 a 20.0-...Ch. 26 - Calculate the three currents I1, I2, and I3...Ch. 26 - What must the emf in Fig. P26.60 be in order for...Ch. 26 - Find the current through each of the three...Ch. 26 - (a) Find the current through the battery and each...Ch. 26 - Consider the circuit shown in Fig. P26.63. (a)...Ch. 26 - In the circuit shown in Fig. P26.64, = 24.0 V,...Ch. 26 - In the circuit shown in Fig. P26.65, the current...Ch. 26 - In the circuit shown in Fig. P26.66 all the...Ch. 26 - Figure P26.67 employs a convention often used in...Ch. 26 - Three identical resistors are connected in series....Ch. 26 - A resistor R1 consumes electrical power P1 when...Ch. 26 - The capacitor in Fig. F26.70 is initially...Ch. 26 - A 2.00-F capacitor that is initially uncharged is...Ch. 26 - A 6.00-F capacitor that is initially uncharged is...Ch. 26 - Point a in Fig. P26.73 is maintained at a constant...Ch. 26 - The Wheatstone Bridge. The circuit shown in Fig....Ch. 26 - (See Problem 26.67.) (a) What is the potential of...Ch. 26 - A 2.36-F capacitor that is initially uncharged is...Ch. 26 - A 224- resistor and a 589- resistor are connected...Ch. 26 - A resistor with R = 850 is connected to the...Ch. 26 - A capacitor that is initially uncharged is...Ch. 26 - DATA You set up the circuit shown in Fig. 26.22a,...Ch. 26 - DATA You set up the circuit shown in Fig. 26.20....Ch. 26 - DATA The electronics supply company where you work...Ch. 26 - An Infinite Network. As shown in Fig. P26.83, a...Ch. 26 - Suppose a resistor R lies along each edge of a...Ch. 26 - BIO Attenuator Chains and Axons. The infinite...Ch. 26 - Assume that a typical open ion channel spanning an...Ch. 26 - In a simple model of an axon conducting a nerve...Ch. 26 - Cell membranes across a wide variety of organisms...
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