^Circuit to find ‘r’ of a cell

Circuit to find ‘r’ of a cell

When the switch S is closed & the switch S1 is kept open, then the cell of emf ξ is said to be in open circuit. Let here the balancing length is b1, then ξ ∝ b1 Now when the switches S & S1 are closed, then the cell of emf ξ is said to be in closed circuit.

Let here the balancing length is b2, then V ∝ b2

Dividing above two relations we get

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