A wire of resistance R is bent into an equilateral triangle and an identical wire is bent into a square. The ratio of resistance between the two end points of an edge of the triangle to that of the square is Options

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Correct answer: C. 32 / 27

For the wire bent into an equilateral triangle, each side has a resistance (R)/(3) . R_ eq =(((2 R)/(3))((R)/(3)))/((2 R)/(3)+(R)/(3))=(2 R)/(9)=R_1 (lets say) For the wire bent into a square, each side has a resistance (R)/(4) . aligned & R_ eq =(((3 R)/(4))((R)/(4)))/((3 R)/(4)+(R)/(4))=(3 R)/(16)=R_3 (lets say) & (R_1)/(R_3)=((2 R)/(9))/((3 R)/(16))=(32)/(27) aligned

A wire of resistance R is bent into an equilateral triangle and an...

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