Question
Wed June 20, 2012 By: Varnika Chopra

A uniform wire of resistance 20 ohm is cut into two equal parts. These parts are connected in parallel. What will be the resistance of the combination?

Expert Reply
Wed June 20, 2012
The resistance of a wire depends directly on the length of a wire. thus if we reduce the length of a wire to half the resistance too will drop to half.
 
thus now two pieces will have 10 ohm resistance each
 
thus let equivaent resistance in parallel connection be Rq :
 
Thus 1/Rq = 1/10 +1/10
 
Rq = 10/2 =5 ohm
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