Q20 of 31 Page 1

State the principle of working of a galvanometer.

A galvanometer of resistance G is converted into a voltmeter to measure up to V volts by connecting a resistance in series with the coil. If a resistance is connected in series with it, then it can measure up to V/2 volts. Find the resistance, in terms of and, required to be connected to convert it into a voltmeter that can read up to 2 V. Also find the resistance G of the galvanometer in terms of and.


When a current-carrying coil is placed in a magnetic field, it experiences a torque. From the measurement of the deflection of the coil, the strength of the current can be computed. A high resistance is connected in series with the galvanometer to convert it into voltmeter. The value of the resistance is given by:



Here, V= potential difference across the terminal of the voltmeter


= Current through galvanometer


G= Resistance of the galvanometer


When the resistance is connected in series with the galvanometer.


V=I (G+)


When the resistance is connected in series with the galvanometer.


=I (G+)



G=


Let be the resistance required for conversion into voltmeter of range 2V



Also V=




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