University Physics with Modern Physics (14th Edition)
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 26.1DQ

In which 120-V light bulb does the filament have greater resistance: a 60-W bulb or a 120-W bulb? If the two bulbs are connected to a 120-V line in series, through which bulb will there be the greater voltage drop? What if they are connected in parallel? Explain your reasoning.

Expert Solution & Answer
Check Mark
To determine

The greater resistance of the 60W and 120W bulb with the voltage source of 120V , the greater voltage drop of the bulb when the bulb connected in series and parallel.

Answer to Problem 26.1DQ

The 60W bulb has the greater resistance, the 60W has the greater voltage drop when the bulbs are connected in series, and both bulbs have the same voltage drop when the bulbs are connected in parallel.

Explanation of Solution

Case 1:

To determine: Whether the greater resistance has the 60W bulb or 120W bulb with the voltage source of 120V .

Introduction: The power of the bulb increases, as the resistance decreases.

Formula to calculate the power delivered by the bulb is,

P=V2R (I)

  • V is the voltage across the bulb,
  • R is the resistance of the bulb.

From equation (I), the power delivered to the bulb is inversely proportional to the resistance of the bulb.

Therefore, when the resistance of the bulb increases the power decreases and the power of the bulb increases ,when the resistance of the bulb decreases.

Thus, 60W bulb has the greater resistance.

Case 2:

To determine: The greater voltage drop of the bulbs when the bulbs are connected in series.

Introduction: If the bulbs are connected in series the voltage drop depends on the value of resistance, if the resistance increases the voltage drop increases.

When the bulbs are connected in series the current through each of the bulb in the circuit is same.

Formula to calculate the voltage across the resistor using Ohm’s law is,

V=IR (II)

  • V is the voltage across the resistor,
  • R is the resistance.

From equation (II), the voltage drop across the resistor and its resistance value is directly proportional.

Therefore, when the resistance of the bulb decreases, the voltage across the bulb decreases and the voltage across the bulb of the bulb increases, when the resistance of the bulb increases.

From case 1, the 60W bulb has the greater resistance, therefore 60W bulb has the greater voltage drop when the bulbs are connected in series.

Thus, the 60W bulb has the greater voltage drop.

Case 3:

To determine: The greater voltage drop of the bulbs when the bulbs are connected in parallel.

Introduction: If the circuit elements are connected in parallel the voltage drop across each element is same.

When the bulbs are connected in parallel the voltage drop across each in the parallel circuit is same

Thus, both bulbs have the same voltage drop.

Conclusion:

Therefore, the 60W bulb has the greater resistance, the 60W has the greater voltage drop when the bulbs are connected in series, and both bulbs have the same voltage drop when the bulbs are connected in parallel.

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07:52

Chapter 26 Solutions

University Physics with Modern Physics (14th Edition)

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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