In a potentiometer experiment, it is found that no current passes through the galvanometer when the terminals of the cell are connected across 52 cm of the potentiometer wire. If the cell is shunted by a resistance of 5Ω, a balance is found when the cell is connected across 40 cm of the wire. Find the internal resistance of the cell.

Engineering

Physics

Wheatstone Bridge and Meter Bridge and Potentiometer

Question

2.5Ω

2Ω

1Ω

1.5Ω

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Standard Results :

r_in = R_sh $(\frac{ℓ_{1}}{ℓ_{2}} - 1)$

where ℓ₁ = Balance length without shunt

ℓ₂ = Balance length with shunt

= 1.5 Ω