Question

If a shunt is to be applied to a galvanometer of resistance 50 $\Omega$ so that only 5% of total current passes through the galvanometer. The resistance of shunt should be

• A. 1.63$\Omega$
• B. 4.2$\Omega$
• C. 3.5$\Omega$
• D. 2.63$\Omega$

Answer 1

The correct option is D 2.63$\Omega$

Let resistance of shunt be x

=$Req=\frac{50x}{50+x}$

$\frac{i_1}{i_2}=\frac{5}{100}=\frac{\frac{50x}{50+x}}{50}=\frac{R_2}{R_1}$

= $100x=250+5x$

$95x=250$

$x=2.63\Omega$