Current Electricity Charging Discharging Of Capacitors Question 230

Question: In an experiment to measure the internal resistance of a cell by potentiometer, it is found that the balance point is at a length of 2m when the cell is shunted by a $ 5,\Omega $ resistance; and is at a length of 3m when the cell is shunted by a $ 10,\Omega $ resistance. The internal resistance of the cell is, then

[Haryana CEE 1996]

Options:

A) $ 1.5,\Omega $

B) $ 10,\Omega $

C) $ 15,\Omega $

D) $ 1,\Omega $

Show Answer

Answer:

Correct Answer: B

Solution:

$ r=( \frac{l _{1}-l _{2}}{l _{2}} )\times R’ $

$ =( \frac{l _{1}-2}{2} )\times 5 $ … (i) and $ r=( \frac{l _{1}-3}{3} )\times 10 $ … (ii) On solving (i) and (ii) r = 10 W