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Question

Physics Question on Resistance

A galvanometer of 100 Ω\Omega resistance gives full scale deflection with 0.01 A current. How much resistance should be connected to convert it into an ammeter of range , 10 A :

A

0.1 Ω\Omega in parallel

B

0.1 Ω\Omega in series

C

0.2 Ω\Omega in parallel

D

0.2 Ω\Omega is series

Answer

0.1 Ω\Omega in parallel

Explanation

Solution

Here: resistance of galvanometer G=100ΩG=100\,\Omega Maximum current across galvanometer Ig=0.01A{{I}_{g}}=0.01A Current range in ammeter = 10 A Since, the shunt resistance should be connected in parallel to convert the galvanometer into an ammeter. S=(IgIIg)G=[0.01(100.01)]×100S=\left( \frac{{{I}_{g}}}{I-{{I}_{g}}} \right)G=\left[ \frac{0.01}{(10-0.01)} \right]\times 100 =0.1Ω=0.1\,\Omega