Question

A $50\Omega$ galvanometer is shunted by a resistance of $5\Omega$. The percentage of the total current, which passes through the galvanometer is

• A. $8.1$%
• B. $10.1$%
• C. $11.1$%
• D. $9.1$%

Answer 1

The correct option is D $9.1$%

Let the percentage of current passed through the galvanometer $=x$

From the formula

$⟹\frac{x}{100-x}=\frac{S}{G}=\frac{5}{50}=\frac{1}{10}⟹10x=100-x⟹11x=100⟹x=\frac{100}{11}\approx 9.1$