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

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

Infinity Learn · Accepted Answer

The circuit can be drawn as follows:Equivalent resistance, R  $$=$$  $$3$$ × $$3$$ $$+33$$ $$+$$ $$3$$ $$+3$$ $$=$$  $$2$$   ΩCurrent, $$i=22$$  $$=1A$$.  So,  $$i1$$ $$=1$$ ×  $$33+6=13$$ A.Potential difference between A and B $$=13$$  ×  $$3=1V$$.

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

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