Question

Refer to Figure $23-13$ for questions $29-33,$ and 35 The bulbs in the circuit are identical. Circuits in Series The wire at point $C$ is broken and a small resistor is inserted in series with bulbs 2 and 3. What happens to the brightness of the two bulbs? Explain.

   Refer to Figure $23-13$ for questions $29-33,$ and 35 The bulbs in the circuit are identical.
Circuits in Series The wire at point $C$ is broken and a small resistor is inserted in series with bulbs 2 and 3. What happens to the brightness of the two bulbs? Explain.

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Physics Principle and Problems

Physics Principle and Problems

Paul W. Zitzewitz,… 1st Edition

Chapter 23, Problem 31

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Solved by Expert Mrinal Rana

05/29/2020

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This will cause a voltage drop across the resistor. Show more…

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Refer to Figure $23-13$ for questions $29-33,$ and 35 The bulbs in the circuit are identical. Circuits in Series The wire at point $C$ is broken and a small resistor is inserted in series with bulbs 2 and 3. What happens to the brightness of the two bulbs? Explain.

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Key Concepts

Relationship Between Current and Brightness

The brightness of light-emitting components in a circuit, such as bulbs, is directly related to the current passing through them. In a series circuit, if the total current decreases due to an increase in resistance, the brightness of each bulb will consequently decrease because less current is available to energize these components.

Impact of Additional Resistance

When an additional resistor is inserted in series in a circuit, it increases the total resistance of the circuit. An increase in resistance, according to Ohm's Law, leads to a decrease in the overall current flowing through the circuit. This is crucial in understanding how modifications affect electrical components in the circuit.

Series Circuits

In a series circuit, all components are connected end-to-end so that there is a single path for current flow. This means that every component in the circuit experiences the same current, and any modification such as adding a resistor affects the entire current flowing through all components.

Ohm's Law

Ohm's Law, which states that voltage is equal to the product of current and resistance (V = IR), is a fundamental principle in circuit analysis. It is used to determine how changes in resistance, like adding a resistor in series, will affect the current in the circuit given a constant supply voltage.

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