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A galvanometer of resistance 95 Omega, s...

A galvanometer of resistance `95 Omega`, shunted resistance of `5 Omega`, gives a deflection of `50` divisions when joined in series with a resistance of `20 k Omega` and a `2 V` accumulator. What is the current sensitivity of the galvanomter (in div`//mu A`)?

Text Solution

Verified by Experts

In accordance with the given problem, the situation is
depicted by the circuit diagram in Fig. `6.23`. As `20 k Omega` is much
greater than the resistance of the shunted galvanometer `(lt 5 Omega)`,
the current in the circuit will be
`l = (2)/(20 xx 10^(3)) = 10^(-4) A = 100 mu A`
Since this current produces a deflection of `50` divisions in the galvanometer,
`CS = (theta)/(I) = (50 "div")/(100 mu A) = (1)/(2) ("div")/(mu A)`
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Knowledge Check

  • A galvanometer of resistance 95 Omega shunted by a resistance of 5 Omega gives deflection of 50 divisions when joined in series with resistance of 20 k Omega and 2.0 V accumulator. The current sensitivity of the galvanometer in division per mu A is

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    `1//2`
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    10
  • A galvanometer of resistance 90 Omega is shunted by a resistance of 10 Omega . What fraction of main current passes through the shunt ?

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    B
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    C
    1/100
    D
    `9//10`
  • The deflection in a MCG is reduced from 40 divisions to 10 divisions, when a shunt of 10 Omega is joined across it. What is the resistance of the galvanometer coil ?

    A
    `20 Omega`
    B
    `30 Omega`
    C
    `40 Omega`
    D
    `50 Omega`
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