1.

A potentiometer wire of length 1 m has a resistance of 10 Omega . It is connected to a 6 V battery inseries with a resistance of 5 Omega . Determine the emf of the primary cell which gives a balance point at 40 cm.

Answer»

Solution :
Here emf of battery `epsi_0` =6V, length of potentiometer wire L = 1 m, length for balancing the CELL of emf `epsi` l = 40 cm = 0.4 m, resistance of potentiometer `R = 10 Omega` and series resistance `R. =5 Omegs`
Potential gradient`k = (epsi_0 R)/((R + R.)L)`
andemf of cell `epsi = kl = (epsi_0 RL)/((R + R.)L) = (6 xx 10 xx 0.4)/((10 + 5) xx 1) = 1.6 V`


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