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Physics-

General

Easy

Question

Five equal resistances each of value R are connected in a form shown alongside. The equivalent resistance of the network

Between the points B and D is R
Between the points B and D is $\frac{R}{2}$
Between the points A and C is R
Between the points A and C is $\frac{R}{2}$

The correct answer is: Between the points B and D is $fraction numerator R over denominator 2 end fraction$

Þ $fraction numerator 1 over denominator R subscript B D end subscript end fraction equals fraction numerator 1 over denominator 2 R end fraction plus fraction numerator 1 over denominator R end fraction plus fraction numerator 1 over denominator 2 R end fraction rightwards double arrow R subscript B D end subscript equals fraction numerator R over denominator 2 end fraction$
Between A and C circuit becomes equivalent to balanced Wheatstone bridge so $R subscript A C end subscript equals R$ .

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