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MHT CET20225 Aug 2022Morning ShiftPhysicsCurrent ElectricityActual

A galvanometer of resistance G has voltage range V_g . Resistance requirec to convert it to read voltage up to V is

Options

  1. AG V_g V -G
  2. B( G+V_g V ) G
  3. C( V-V_g V ) G
  4. DG [ V V_g -1 ]

Correct answer

D. G [ V V_g -1 ]

Step-by-step solution

The correct option is (D). To convert a galvanometer into a voltmeter we need to connect a large resistor in series. Consider the following diagram swith usual labels. Consider the following, net potential drop across the voltmeter: I_g R+l_g G=V On re-writing, R= V I_g -G , and we know, V_g=I_g G . Therefore, R=G ( V V_g -1 )

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