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

step 1 So sensitivity given to us is 50 micro -amper. So the maximum current should be 50 times 10 -pow

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 - $\mu$ A sensitivity (the same as the one discussed in the text) to allow it to be used as a voltmeter with a 3000 -V full-scale reading. Include a circuit diagram with your solution.

Key Concepts

Galvanometer

A galvanometer is a sensitive instrument that detects and measures small currents by deflecting a pointer or a needle. Its sensitivity, defined by the full-scale deflection current, is an essential parameter in determining how the instrument responds to applied electrical currents, making it suitable for precise measurements in electrical circuits.

Full-Scale Deflection

Full-scale deflection refers to the maximum current that can pass through a galvanometer to produce a complete deflection of its pointer. This concept is critical when converting a galvanometer into another measuring instrument, such as a voltmeter, because the corresponding voltage must be applied to create the full-scale current without damaging the instrument.

Ohm's Law

Ohm’s Law states that the voltage across an element is directly proportional to the current flowing through it and the resistance of the element (V = IR). This fundamental relationship is used to calculate the necessary series resistance that, when combined with the galvanometer’s own resistance, will ensure that the desired full-scale voltage produces the corresponding full-scale current.

Conversion of a Galvanometer to a Voltmeter

Converting a galvanometer into a voltmeter involves adding a large resistor in series with the galvanometer. This additional resistor ensures that when a high voltage (the full-scale voltage) is applied, only the small full-scale deflection current flows through the galvanometer. The series resistor drops most of the applied voltage, protecting the sensitive galvanometer while allowing accurate voltage measurement.

Please give Ace some feedback