Current Electricity Question 4

Question 4 - 2024 (01 Feb Shift 2)

In an ammeter, $5 \%$ of the main current passes through the galvanometer. If resistance of the galvanometer is G, the resistance of ammeter will be :

[We changed options. In official NTA paper no option was correct.]

(1) $\frac{G}{20}$

(2) $\frac{G}{199}$

(3) $199 G$

(4) $200 G$

Show Answer

Answer: (1)

Solution:

$I _S S=I _g G$

$\frac{95}{100} I S=\frac{5 I}{100} G$

$S=\frac{G}{19}$ $R _A=\frac{SG}{S+G}=\frac{\frac{G^{2}}{19}}{\frac{20 G}{19}}$

$R _A=\frac{G}{20}$