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+
)
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G= ![]()
Let
be the resistance required for conversion into voltmeter of range 2V
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Also V=![]()
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