First slide
Ohm's law
Question

A uniform wire of resistance 9 Q is cut into 3 equal parts.  They are connected in the form of equilateral triangle ABC. A cell of e.m.f. 2 V and negligible internal resistance is connected across B and C. Potential difference across AB is

Moderate
Solution

The circuit can be drawn as follows:

Equivalent resistance, R  =  3×3+33+3+3=  2   Ω

Current, i=22  =1A.  So,  i1=1×  33+6=13A.

Potential difference between A and B =13  ×  3=1V.

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