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Chapter 25: Problem 15

Two identical light bulbs are connected to a battery. Will the light bulbs be brighter if they are connected in series or in parallel?

Short Answer

Expert verified
Answer: The light bulbs will be brighter when connected in parallel.

Step by step solution

01

Recall the difference between series and parallel configurations

In a series connection, all components are connected end to end, so that there is only one path for the current to flow. In a parallel connection, the components are connected in multiple paths such that the current is divided among the paths.
02

Understand the effect of the connections on the voltage and current

In a series connection, the voltage across each component is different and the current through each component is the same. In a parallel connection, the voltage across each component is the same and the current through each component is different.
03

Determine the brightness of the bulbs in a series connection

The voltage from the battery is divided equally across both light bulbs in a series connection. Since the bulbs are identical, they will each get half of the total voltage from the battery. The brightness of a light bulb depends on the power it consumes (P=IV), and since the voltage across each bulb is lower in a series connection, their brightness will be less.
04

Determine the brightness of the bulbs in a parallel connection

In a parallel connection, the voltage across each bulb is the same as the voltage of the battery. The current through each bulb is also the same, as they are identical. The power consumed by each bulb will therefore be higher, making them brighter when connected in parallel.
05

Conclusion

The light bulbs will be brighter when connected in parallel compared to a series connection, as they receive the full voltage from the battery and consume more power in a parallel configuration.

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Most popular questions from this chapter

Show that the drift speed of free electrons in a wire does not depend on the cross-sectional area of the wire.

A rectangular wafer of pure silicon, with resistivity \(\rho=2300 \Omega \mathrm{m},\) measures \(2.00 \mathrm{~cm}\) by \(3.00 \mathrm{~cm}\) by \(0.010 \mathrm{~cm}\) Find the maximum resistance of this rectangular wafer between any two faces.

A 34 -gauge copper wire, with a constant potential difference of \(0.10 \mathrm{~V}\) applied across its \(1.0 \mathrm{~m}\) length at room temperature \(\left(20 .{ }^{\circ} \mathrm{C}\right),\) is cooled to liquid nitrogen temperature \(\left(77 \mathrm{~K}=-196^{\circ} \mathrm{C}\right)\) a) Determine the percentage change in the wire's resistance during the drop in temperature. b) Determine the percentage change in current flowing in the wire. c) Compare the drift speeds of the electrons at the two temperatures.

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The Stanford Linear Accelerator accelerated a beam consisting of \(2.0 \cdot 10^{14}\) electrons per second through a potential difference of \(2.0 \cdot 10^{10} \mathrm{~V}\) a) Calculate the current in the beam. b) Calculate the power of the beam. c) Calculate the effective ohmic resistance of the accelerator.
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