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

step 1 So in this problem, we have a gubernometer with sensitivity, i equal 50 microampiers. And we alr

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

Find the resistance that must be placed in series 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 a voltmeter with a $0.100-\mathrm{V}$ full-scale reading.

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Key Concepts

Ohm's Law

Ohm's Law is a fundamental principle in electrical circuits that relates voltage, current, and resistance using the formula V = IR. This relationship is essential when determining the value of the series resistor needed to achieve a desired full-scale voltage reading in modified measurement instruments.

Galvanometer

A galvanometer is a sensitive instrument used to detect and measure small currents by means of a mechanical deflection. Its operation is based on the interaction between a magnetic field and an electric current, causing a needle or pointer to move in proportion to the current.

Full-Scale Deflection

Full-scale deflection refers to the maximum reading of a galvanometer, which occurs when the current reaches the instrument's sensitivity limit. This concept is crucial when adapting a galvanometer to different measurement ranges, such as converting it into a voltmeter.

Series Resistance Modification

Series resistance modification involves adding an external resistor in series with a galvanometer to extend its measurement range. By calculating the appropriate resistance, the current can be limited such that larger voltages can be measured without exceeding the galvanometer's sensitivity.

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