Suppose that you wish to apply a 0.25-V potential difference...

Suppose that you wish to apply a 0.25-V potential difference between two points on the human body. The resistance is about 1800 $\Omega$, and you only have a 1.5-V battery. How can you connect up one or more resistors to produce the desired voltage?

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Key Concepts

Voltage Divider

A voltage divider is a circuit configuration that uses two or more resistors in series to produce an output voltage that is a fixed fraction of the input voltage. By choosing appropriate resistor values, you can 'divide' the supply voltage so that only the desired portion appears across the load.

Series Circuit Analysis

In a series circuit, all components carry the same current while the total voltage supplied is divided among the components according to their resistances. This concept is essential when designing a resistor network that drops part of the voltage from the battery before it reaches the load.

Resistor Ratio Calculation

Determining the correct resistor values to achieve a desired voltage drop involves establishing the ratio between the resistors in a voltage divider. The output voltage is determined by the fraction of the total resistance that is across the load, as calculated by V_out = V_in × (R_load / (R_series + R_load)).

Ohm's Law

Ohm’s law, stated as V = IR, relates voltage, current, and resistance in an electrical circuit. It underlies the workings of both series circuits and voltage dividers by explaining how voltage is distributed across components based on their resistances.

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