Question

In a potentiometer experiment, the balancing length with a resistance of 2Ω is found to be 100 cm, while that of an unknown resistance is 500 cm. Calculate the value of the unknown resistance. 

Answer 1

${\displaystyle R=2\Omega }$

${\displaystyle l_R=100 \text{cm}}$

${\displaystyle X=?}$

${\displaystyle l_X=500 \text{cm}}$

${\displaystyle \therefore }$ by balancing bridge condition

${\displaystyle \frac{R}{X}=\frac{l_R}{l_Y}}$

${\displaystyle \frac{2}{X}=\frac{100}{500}}$

${\displaystyle X=10\Omega }$