Find the resistance that must be placed in parallel with a 25.0-Ωgalvanometer having a 50.0-μA s

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Find the resistance that must be placed in parallel with a...

Find the resistance that must be placed in parallel with a $25.0-\Omega$ galvanometer having a $50.0-\mu \mathrm{A}$ sensitivity (the same as the one discussed in the text) to allow it to be used as an ammeter with a 10.0-A full-scale reading. Include a circuit diagram with your solution.

Key Concepts

Shunt Resistor

A shunt resistor is used to bypass most of the current around the galvanometer when it is being converted into an ammeter. By placing a resistor in parallel with the galvanometer, most of the high current flows through the shunt, while a small, proportional current passes through the galvanometer, preserving its integrity and allowing for indirect current measurement.

Galvanometer

A galvanometer is an instrument used to detect and measure small currents. Its sensitivity, expressed as the full-scale deflection current, defines the maximum current that it can safely handle. Understanding the galvanometer's limitations is crucial when adapting it for measurements involving larger currents.

Ammeter Conversion

Converting a galvanometer into an ammeter involves calculating the appropriate value of the shunt resistor such that the vast majority of the measured current is diverted through the shunt. This conversion method ensures that the instrument can handle larger currents than its original design while still providing a measurement based on the small current that passes through the galvanometer.

Circuit Diagram

A circuit diagram illustrating the conversion typically shows the galvanometer connected in parallel with the shunt resistor. This configuration visually represents how the measurement current divides between the low-resistance pathway (shunt resistor) and the galvanometer, providing a clear understanding of the current flow and the instrument’s operating limits.

Transcript

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