Physics for Scientists and Engineers, Technology Update (No access codes included)
9th Edition
ISBN: 9781305116399
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
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Textbook Question
Chapter 28, Problem 28.66AP
Two resistors R1 and R2 are in parallel with each other. Together they carry total current I. (a) Determine the current in each resistor. (b) Prove that this division of the total current I between the two resistors results in less power delivered to the combination than any other division. It is a general principle that current in a direct current circuit distributes itself so that the total power delivered to the circuit is a minimum.
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Two resistors R1 and R2 are in parallel with each other. Together they carry total current I. (a) Determine the current in each resistor. (b) Prove that this division of the total current I between the two resistors results in less power delivered to the combination than any other division. It is a general principle that current in a direct current circuit distributes itself so that the total power delivered to the circuit is a minimum.
Consider the circuit shown below. The resistor has R= 40 ohms and the capacitor has C= 6 x10^-6 F. Initially the switch is open and there is no charge on the capacitor and no current in the resistor. At a time after the switch is closed the current in the resistor is 2 A and the charge on the capacitor is q= +3.00 x 10^-4 C. What is the emf of the battery?
In a circuit, all the power delivered by the battery must be dissipated by the elements to the circuit. This is
simply a statement of the conservation of energy. How much energy dissipated depends on the resistance of
the element and the voltage across the resistor, or the current through it. The relevant equations for the
problems are as follows. For a circuit element, the power dissipated (or generated) is P = IV, where Vand I are
the voltage across and current through a circuit element. We know that a resistor obeys OhmA ¢A^A^'s Law
V=IR, which means that for a resistor, the power dissipated is P = I*R = V²/R.
Consider the following two circuits with identical batteries and re-
sistors.
А
В
C
R
R
R RS
R
If the power dissipated by the resistor in circuit A is P, what is the
power dissipated by one resistor in circuit B?
If the power dissipated by the resistor in circuit A is P, what is the
power dissipated by one resistor in circuit C?
Chapter 28 Solutions
Physics for Scientists and Engineers, Technology Update (No access codes included)
Ch. 28 - To maximize the percentage of the power from the...Ch. 28 - With the switch in the circuit of Figure 27.4a...Ch. 28 - With the switch in the circuit of Figure 27.6a...Ch. 28 - Prob. 28.4QQCh. 28 - Consider the circuit in Figure 27.17 and assume...Ch. 28 - Is a circuit breaker wired (a) in series with the...Ch. 28 - A battery has some internal resistance. (i) Clan...Ch. 28 - The terminals of a battery are connected across...Ch. 28 - When operating on a 120-V circuit, an electric...Ch. 28 - If the terminals of a battery with zero internal...
Ch. 28 - Prob. 28.6OQCh. 28 - What is the time constant of the circuit shown in...Ch. 28 - When resistors with different resistances are...Ch. 28 - When resistors with different resistances are...Ch. 28 - The terminals of a battery are connected across...Ch. 28 - Are the two headlights of a car wired (a) in...Ch. 28 - In the circuit shown in Figure OQ28.12, each...Ch. 28 - Prob. 28.13OQCh. 28 - A circuit consists of three identical lamps...Ch. 28 - A series circuit consists of three identical lamps...Ch. 28 - Suppose a parachutist lands on a high-voltage wire...Ch. 28 - A student claims that the second of two lightbulbs...Ch. 28 - Why is ii possible for a bird to sit on a...Ch. 28 - Given three lightbulbs and a battery, sketch as...Ch. 28 - Prob. 28.5CQCh. 28 - Referring to Figure CQ28.6, describe what happens...Ch. 28 - Prob. 28.7CQCh. 28 - (a) What advantage does 120-V operation offer over...Ch. 28 - Prob. 28.9CQCh. 28 - Prob. 28.10CQCh. 28 - A battery has an emf of 15.0 V. The terminal...Ch. 28 - Two 1.50-V batterieswith their positive terminals...Ch. 28 - An automobile battery has an emf of 12.6 V and 171...Ch. 28 - As in Example 27.2, consider a power supply with...Ch. 28 - Three 100- resistors are connected as shown in...Ch. 28 - Prob. 28.6PCh. 28 - What is the equivalent resistance of the...Ch. 28 - Consider the two circuits shown in Figure P27.5 in...Ch. 28 - Consider the circuit shown in Figure P28.9. Find...Ch. 28 - (a) You need a 45- resistor, but the stockroom has...Ch. 28 - A battery with = 6.00 V and no internal...Ch. 28 - A battery with emf and no internal resistance...Ch. 28 - (a) Kind the equivalent resistance between points...Ch. 28 - (a) When the switch S in the circuit of Figure...Ch. 28 - Prob. 28.15PCh. 28 - Four resistors are connected to a battery as shown...Ch. 28 - Consider die combination of resistors shown in...Ch. 28 - For the purpose of measuring the electric...Ch. 28 - Calculate the power delivered to each resistor in...Ch. 28 - Why is the following situation impossible? A...Ch. 28 - Consider the circuit shown in Figure P28.21 on...Ch. 28 - In Figure P28.22, show how to add just enough...Ch. 28 - The circuit shown in Figure P27.17 is connected...Ch. 28 - For the circuit shown in Figure P28.24, calculate...Ch. 28 - What are the expected readings of (a) the ideal...Ch. 28 - The following equations describe an electric...Ch. 28 - Taking R = 1.00 k and = 250 V in Figure P27.19,...Ch. 28 - You have a faculty position at a community college...Ch. 28 - The ammeter shown in Figure P28.29 reads 2.00 A....Ch. 28 - In the circuit of Figure P28.30, determine (a) the...Ch. 28 - Using Kirchhoffs rules, (a) find (he current in...Ch. 28 - In the circuit of Figure P27.20, the current I1 =...Ch. 28 - In Figure P28.33, find (a) the current in each...Ch. 28 - For the circuit shown in Figure P27.22, we wish to...Ch. 28 - Find the potential difference across each resistor...Ch. 28 - (a) Can the circuit shown in Figure P27.21 be...Ch. 28 - An uncharged capacitor and a resistor are...Ch. 28 - Consider a series RC circuit as in Figure P28.38...Ch. 28 - A 2.00-nF capacitor with an initial charge of 5.10...Ch. 28 - A 10.0-F capacitor is charged by a 10.0-V battery...Ch. 28 - In the circuit of Figure P27.25, the switch S has...Ch. 28 - In the circuit of Figure P27.25, the switch S has...Ch. 28 - The circuit in Figure P28.43 has been connected...Ch. 28 - Show that the integral 0e2t/RCdtin Example 27.11...Ch. 28 - A charged capacitor is connected to a resistor and...Ch. 28 - Prob. 28.46PCh. 28 - Prob. 28.47PCh. 28 - Turn on your desk lamp. Pick up the cord, with...Ch. 28 - Assume you have a battery of emf and three...Ch. 28 - Find the equivalent resistance between points a...Ch. 28 - Four 1.50-V AA batteries in series are used to...Ch. 28 - Four resistors are connected in parallel across a...Ch. 28 - The circuit in Figure P27.35 has been connected...Ch. 28 - The circuit in Figure P27.34a consists of three...Ch. 28 - For the circuit shown in Figure P28.55. the ideal...Ch. 28 - The resistance between terminals a and b in Figure...Ch. 28 - (a) Calculate the potential difference between...Ch. 28 - Why is the following situation impossible? A...Ch. 28 - A rechargeable battery has an emf of 13.2 V and an...Ch. 28 - Find (a) the equivalent resistance of the circuit...Ch. 28 - When two unknown resistors are connected in series...Ch. 28 - When two unknown resistors are connected in series...Ch. 28 - The- pair of capacitors in Figure P28.63 are fully...Ch. 28 - A power supply has an open-circuit voltage of 40.0...Ch. 28 - The circuit in Figure P27.41 contains two...Ch. 28 - Two resistors R1 and R2 are in parallel with each...Ch. 28 - Prob. 28.67APCh. 28 - A battery is used to charge a capacitor through a...Ch. 28 - A young man owns a canister vacuum cleaner marked...Ch. 28 - (a) Determine the equilibrium charge on the...Ch. 28 - Switch S shown in Figure P28.71 has been closed...Ch. 28 - Three identical 60.0-W, 120-V lightbulbs are...Ch. 28 - A regular tetrahedron is a pyramid with a...Ch. 28 - An ideal voltmeter connected across a certain...Ch. 28 - In Figure P27.47, suppose the switch has been...Ch. 28 - Figure P27.48 shows a circuit model for the...Ch. 28 - The student engineer of a campus radio station...Ch. 28 - The circuit shown in Figure P28.78 is set up in...Ch. 28 - An electric teakettle has a multiposition switch...Ch. 28 - A voltage V is applied to a series configuration...Ch. 28 - In places such as hospital operating rooms or...Ch. 28 - The switch in Figure P27.51a closes when Vc23Vand...Ch. 28 - The resistor R in Figure P28.83 receives 20.0 W of...
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- If the terminals of a battery with zero internal resistance are connected across two identical resistors in series, the total power delivered by the battery is 8.00 W. If the same battery is connected across the same resistors in parallel, what is the total power delivered by the battery? (a) 16.0 W (b) 32.0 W (c) 2.00 W (d) 4.00 W (e) none of those answersarrow_forwardConsider a series RC circuit as in Figure P28.38 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.arrow_forwardPower P0 = I0 V0 is delivered to a resistor of resistance R0. If the resistance is doubled (Rnew = 2R0) while the voltage is adjusted such that the current is constant, what are the ratios (a) Pnew/P0 and (b) Vnew/V0? If, instead, the resistance is held constant while Pnew = 2P0, what are the ratios (c) Vnew/V0, and (d) Inew/I0?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_forwardThe terminals of a battery are connected across two resistors in parallel. The resistances of the resistors are not the same. Which of the following statements is correct? Choose all that are correct. (a) The resistor with the larger resistance carries more current than the other resistor. (b) The resistor with the larger resistance carries less current than the other resistor. (c) The potential difference across each resistor is the same. (d) The potential difference across the larger resistor is greater than the potential difference across the smaller resistor. (e) The potential difference is greater across the resistor closer to the battery.arrow_forwardWhen unequal resistors are connected in series across an ideal battery, a the same power is dissipated in each one. b the potential difference across each is the same. c the current flowing in each is the same. d the equivalent resistance of the circuit is less than that of the smallest resistor. e the equivalent resistance of the circuit is equal to the average of all the resistances.arrow_forward
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