Question

A shunt of 6 ohm is connected across a galvanometer of resistance 294 ohm find the fraction of total current passing through a galvanometer ​

Answer 1

Answer:

1/50

Explanation:

$\frac{Ig}{I}$ = $\frac{Rs}{Rg + Rs}$ = $\frac{6}{294 + 6}$= $\frac{1}{50}$

(or) 2% of the total current passes through the galvanometer

Answer 2

Concept Introduction: Galvanometer is used for finding the current.

Given:

We have been Given: Resistance of Shunt is,

$6 \: ohm$

Resistance of Galvanometer is,

$294 \: ohm$

To Find:

We have to Find: Fraction or Percentage of Total Current passing through the Galvanometer.

Solution:

According to the problem,

$\frac{ i_{g}}{i} = \frac{ r_{s}}{ r_{s} + r_{g} }$

therefore, putting the values is,

$\frac{ i_{g} }{i} = \frac{6}{6 + 294} = \frac{6}{300} = \frac{1}{50} = 2\%$

Final Answer: Therefore the Fraction or Percentage of Total Current passing through the Galvanometer is

$\frac{1}{50} \: or \: 2\%$

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