Magnetic Effects Of Current Question 456

Question: In an ammeter 0.2% of main current passes through the galvanometer. If resistance of galvanometer is Q the resistance of ammeter will be:

Options:

A) $ \frac{1}{499}G $

B) $ \frac{499}{500}G $

C) $ \frac{1}{500}G $

D) $ \frac{500}{499}G $

Show Answer

Answer:

Correct Answer: C

Solution:

[c] As 0.2% of main current passes through the galvanometer hence $ \frac{998}{1000}I $ current through the shunt. $ ( \frac{2I}{1000} )G=( \frac{998I}{1000} )S $
$ \Rightarrow ,S=\frac{G}{499} $ Total resistance of Ammeter $ R=\frac{SG}{S+G}=\frac{( \frac{G}{499} )G}{( \frac{G}{499} )+G}=\frac{G}{500} $