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  • Five equal resistances each of value R are connected to form a network as shown in figure. Calculate the equivalent resistance of the network between the points B and D.     &

Five equal resistances each of value R are connected to form a network as shown in figure. Calculate the equivalent resistance of the network between the points B and D. 
    

Option: 1

(\operatorname{Re} q)_{B D}=\frac{3}{2} R


Option: 2

(\operatorname{Re} q)_{B D}=\frac{5}{2} R


Option: 3

(\operatorname{Re} q)_{B D}=\frac{1}{2} R


Option: 4

(\operatorname{Re} q)_{B D}=\frac{7}{2} R


Answers (1)

best_answer

The circuit can be redrawn as in the figure.for points B and D,
resistance (P+R), G \text { an }(Q+S) are in parallel.
With P = Q = R = S = G = R 
So, \frac{1}{(\operatorname{Req})_{B D}}=\frac{1}{2 R}+\frac{1}{2 R}+\frac{1}{R}
(\operatorname{Req})_{\mathrm{BD}}=\frac{1}{2} \mathrm{R}

Posted by

Anam Khan

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