College Physics
10th Edition
ISBN: 9781285737027
Author: Raymond A. Serway, Chris Vuille
Publisher: Cengage Learning
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Textbook Question
Chapter 18, Problem 18P
(a) Find the current in each resistor of Figure P18.18 by using the rules for resistors in series and parallel. (b) Write three independent equations for the three currents using Kirchhoff’s laws: one with the node rule; a second using the loop rule through the battery, the 6.0-Ω resistor, and the 24.0-Ω resistor; and the third using the loop rule through the 12.0-Ω and 24.0-Ω resistors. Solve to check the answers found in part (a).
Figure Pl8.18
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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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- Figure P18.19 shows a Wheatstone bridge, a circuit used to precisely measure an unknown resistance R by varying Rvar until the ammeter reads zero current and the bridge is said to be balanced. If the bridge is balanced with Rvar = 9.00 , find (a) the value of the unknown resistance Rand (b) the current in the 1.00 resistor. (Hint: With the bridge balanced, the wire through the ammeter can effectively be removed from the circuit, leaving two pairs of resistors in parallel.) Figure Pl8.19arrow_forwardFigure P18.19 shows a Wheatstone bridge, a circuit used to precisely measure an unknown resistance R by varying Rvar until the ammeter reads zero current and the bridge is said to be balanced. If the bridge is balanced with Rvar = 9.00 , find (a) the value of the unknown resistance Rand (b) the current in the 1.00 resistor. (Hint: With the bridge balanced, the wire through the ammeter can effectively be removed from the circuit, leaving two pairs of resistors in parallel.) Figure Pl8.19arrow_forwardA child's electronic toy is supplied by three 1.58-V alkaline cells having internal resistances of 0.0200 inseries with a 1.53-V carbon-zinc dry cell having a 0.100- internal resistance. The load resistance is 10.0 . (a) Draw a circuit diagram of the toy and itsbatteries, (b) What current flows? (c) How much power is supplied to the load? (d) What is the internal resistance of the dry cell if it goes bad, resulting in only 0.500 W being supplied to the load?arrow_forward
- Three 60.0-W, 120-V lightbulbs are connected across a 120-V power source, as shown in Figure P18.50. Find (a) the total power delivered to the three bulbs and (b) the potential difference across each. Assume the resistance of each bulb is constant (even though, in reality, the resistance increases markedly with current). Figure P18.50arrow_forwardThree 60.0-W, 120-V lightbulbs are connected across a 120-V power source, as shown in Figure P18.50. Find (a) the total power delivered to the three bulbs and (b) the potential difference across each. Assume the resistance of each bulb is constant (even though, in reality, the resistance increases markedly with current). Figure P18.50arrow_forwardA child’s electronic toy is supplied by three 1.58-V alkaline cells having internal resistances of 0.0200 in series with a 1.53-V carbon-zinc dry cell having a 0.100- internal resistance. The load resistance is 10.0 . (a) Draw a circuit diagram of the toy and its batteries, (b) What current flows? (c) How much power is supplied to the load? (d) What is the internal resistance of the dry cell if it goes bad, resulting in only 0.500 W being supplied to the load?arrow_forward
- Lightbulb A is marked 25.0 W 120. V, and lightbulb B is marked 100. W 120. V. These labels mean that each lightbulb has its respective power delivered to it when it is connected to a constant 120.-V source. (a) Find the resistance of each lightbulb. (b) During what time interval does 1.00 C pass into lightbulb A? (c) Is this charge different upon its exit versus its entry into the lightbulb? Explain. (d) In what time interval does 1.00 J pass into lightbulb A? (e) By what mechanisms does this energy enter and exit the lightbulb? Explain. (f) Find the cost of running lightbulb A continuously for 30.0 days, assuming the electric company sells its product at 0.110 per kWh.arrow_forwardAn 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_forwardConsider the circuit below. The battery has an emf of = 30.00 V and an internal resistance of r = 1,00 . (a) Find the equivalent resistance of the circuit and the current out of the battery. (b) Find the current through each resistor, (c) Find die potential drop across each resistor, (d) Find the power dissipated by each resistor, (e) Find the total power supplied by the batteries.arrow_forward
- The power dissipated in a resistor is given by P = V2/R, which means power decreases if resistance increases. Yet this power is also given by P = I2R, which means power increases if resistance increases. Explain why there is no contradiction here.arrow_forwardThe 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_forward
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