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MHT CET 2021 (20 Sep, Shift 2) · Kirchhoff's Laws & Measuring Instruments

Kirchhoff's Laws & Measuring Instruments question from MHT CET 2021 (20 Sep, Shift 2)

Q129MHT CET 2021 · 20 SEP · SHIFT 2Medium

Kirchhoff's Laws & Measuring Instruments

A galvanometer has resistance 'GG' Ω\Omega and 'IgI_g' is current flowing through it which produces full scale deflection. 'S1S_1' is the value of shunt which converts it into an ammeter of range 0 to '3I3I' and 'S2S_2' is the shunt value which converts it into an ammeter of range 0 to '4I4I', the ratio S2:S1S_2 : S_1 is

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Answer: (b)

  1. Shunt: S=IgGImax−IgS = \dfrac{I_g G}{I_{max} - I_g}
  2. S1=IgG3I−IgS_1 = \dfrac{I_g G}{3I - I_g}, S2=IgG4I−IgS_2 = \dfrac{I_g G}{4I - I_g}
  3. S2S1=3I−Ig4I−Ig\dfrac{S_2}{S_1} = \dfrac{3I - I_g}{4I - I_g}. So the answer is (b).
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