Potentiometer (Potential Gradient)

A  10m long wire of 20 ῼ resistance is  used as a potentiometer wire This wire is connected with a 5V battery along an external resistance of 480 ῼ If an unknown emf E is balanced at 600 cm calculate 1) potential gradient 2) the value of E



1)      The total resistance =480+20 =500 ῼ
So the current in the circuit=5/500=1/100 A
Potential drop across the wire= 20 × (1/100)=1/5 V
. . . Potential Gradient =potential drop per unit length= (1/5) / 10= 1/50 v/m
2)  The unknown emf E= Potential gradient × Balancing length
E=(1/50) × 6= 6/50 V

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