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Moving Charges And Magnetism

Question
CBSEENPH12037597

A galvanometer coil has a resistance of 12 Ω and the metre shows full scale deflection for a current of 3 mA. How will you convert the metre into a voltmeter of range 0 to 18 V?

Solution

Given, a galvanometer coil.
Resistance on the galvanometer, R = 12 Ω
Current on galvanometer, Ig =3 mA = 3 x 10–3 A
Voltage ,V = 18 V

By using formula,

                      V = Ig(R+Rg)

                     VIg = R+Rg 
or,         
                      R = VIg-Rg     = 183×10-3-12R = 6 × 103-12 = 5988Ω