(I) Four 1.5·V cells are connected in series to a 12.0...

(I) Four 1.5$\cdot \mathrm{V}$ cells are connected in series to a 12.0 light- bulb. If the resulting current is 0.45 $\mathrm{A}$ , what is the internal resistance of each cell, assuming they are identical and neglecting the wires?

Key Concepts

Series Circuit

A series circuit is one in which the components are connected end-to-end so that the same current flows through each component. In such circuits, the total voltage is the sum of the individual voltages, and resistances, including any internal resistance of the cells, add directly.

Internal Resistance

Internal resistance is the inherent opposition to current flow within a power source, such as a battery or cell. It causes a voltage drop inside the source when current flows, effectively reducing the voltage available to the external circuit. Understanding internal resistance is crucial for accurately predicting circuit behavior, especially in series-connected power sources.

Ohm's Law

Ohm's Law is a fundamental principle in electrical circuits, expressed as V = IR, which relates voltage (V), current (I), and resistance (R). This law is essential for calculating unknown values in circuits, such as determining the voltage drop across resistances or the current flowing through circuit components.

Kirchhoff’s Voltage Law

Kirchhoff’s Voltage Law (KVL) states that the sum of all potential differences in a closed circuit must equal zero. This principle is used to account for all voltage gains and drops around a circuit loop, including those due to internal resistances and the external load, ensuring that the energy is conserved.

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