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Question: The scale of a galvanometer of resistance 100 Ω contains 25 divisions. It gives a deflection of one ...

The scale of a galvanometer of resistance 100 Ω contains 25 divisions. It gives a deflection of one division on passing a current of 4 × 10–4A. The resistance in ohms to be added to it, so that it may become a voltmeter of range 2.5 volt is

A

100

B

150

C

250

D

300

Answer

150

Explanation

Solution

Current sensitivity of galvanometer = 4 × 10–4 Amp/div.

So full scale deflection current (ig) = Current sensitivity × Total number of division = 4 × 10–4 × 25 = 10–2 A

To convert galvanometer in to voltmeter, resistance to be put in series is R=VigG=2.5102100=150ΩR = \frac{V}{i_{g}} - G = \frac{2.5}{10^{- 2}} - 100 = 150\Omega