A galvanometer having coil resistance 10Ω shows a full scale...

A galvanometer having coil resistance

10Ω

shows a full scale deflection for a current of

3mA

. For it to measure a current of

8A

, the value of the shunt should be: A galvanometer having coil resistance 10Ω shows a full scale deflection for a current of 3mA . For it to measure a

Options

A $3 \times {10}^{- 3}Ω$
B $4 . 85 \times {10}^{- 3}Ω$
C $3 . 75 \times {10}^{- 3}Ω$
D $2 . 75 \times {10}^{- 3}Ω$

Correct answer

C. $3 . 75 \times {10}^{- 3}Ω$

Step-by-step solution

Given $G = 10Ω$ , ${I}_{g} = 3mA$ and $I = 8A$ .

Let's consider the following figure:

A galvanometer having coil resistance 10Ω shows a full scale deflection for a current of 3mA . For it to measure a

From the figure, we have

${I}_{g}G = \left(I - {I}_{g}\right)S ⇒ S = \dfrac{{I}_{g}G}{I - {I}_{g}} ⇒ S = \dfrac{\left(3 \times {10}^{- 3}\right)10}{8 - 0 . 003} = 3 . 75 \times {10}^{- 3}Ω$

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