The circuit diagram of a potentiometer for the determination of internal resistance of a cell is shown below. Calculate the Value of the internal resistance "r" of the cell. Given R=100 ohm , balancing length when key (k) open is 60 cm. Balancing length when key (k) closed is 58 cm.
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arshpreet_dhaliwal2006
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Given:
Given R = 100 ohm, balancing length when key (k) open is 60 cm. Balancing length when key (k) closed is 58 cm.
To find:
Calculate the Value of the internal resistance "r" of the cell.
Solution:
From given, we have the data as follows.
Given R = 100 ohm, balancing length when key (k) open is 60 cm. Balancing length when key (k) closed is 58 cm.
R = 100 Ω
l₁ = 60 cm
l₂ = 58 cm
The formula that is used to find the internal resistance of the potentiometer.
r = R [ (l₁ - l₂) / l₂ ]
Substitute the values in the above equation.
r = 100 [ (60 - 58) / 58 ]
r = 100 [ 2 / 58 ]
r = 100 [ 1 / 29 ]
r = 3.45 Ω
Therefore, the internal resistance of the potentiometer is 3.45 Ω.
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