Magnetics Ques 134

  1. The resistance of a galvanometer is $50$ $ ohm$ and the maximum current which can be passed through it is $0.002$ $ A$. What resistance must be connected to it in order to convert it into an ammeter of range $0-0.5$ $ A$ ?

(a) $0.2 $ $ohm$

(b) $0.5 $ $ohm$

(c) $0.002 $ $ohm$

(d) $0.02 $ $ohm$

(2019 Main, 9 April II)

Show Answer

Answer:

Correct Answer: 134.(a)

Solution:

Formula:

Moving Coil Galvanometer:

  1. Key Idea: An ammeter is a type of galvanometer with a shunt connected in parallel to the galvanometer.

Ammeter circuit is shown in the figure below,

So, $ \quad I _g G=\left(I-I _g\right) S $

Here,

$ \begin{aligned} I _g & =0.002 A \\ I & =0.5 A, \end{aligned} $

$ G=50 \Omega $

So, shunt resistance required is

$ S=\frac{I _g G}{I-I _g}=\frac{0.002 \times 50}{(0.5-0.002)} \approx 0.2 \Omega $



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