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  • A uniform conductor of resistance R is cut into 20 equal pieces. Half of them are joined in series and the remaining half of them are connected in parallel. If the two combinations are jo

A uniform conductor of resistance R is cut into 20 equal pieces. Half of them are joined in series and the remaining half of them are connected in parallel. If the two combinations are joined in series, the effective resistance of all the pieces is:

Option: 1

 R


Option: 2

 R/2


Option: 3

101R/200


Option: 4

201R/200


Answers (1)

best_answer

 As the resistance is divided into 20 pieces, so resistance of each piece =\mathrm{R} / 20
For 10 equal parts in series times \frac{R}{20}=\frac{R}{2}\mathrm{R}_1=10 \ 

For 10 other equal parts in parallel
\mathrm{R}_2=\frac{1}{10} \times \frac{R}{20}=\frac{R}{200}
For R_1 and R_2 in series,
\mathrm{R} ;=\frac{R}{2}+\frac{R}{200}=\frac{(100+1) R}{200}=\frac{101}{200} R

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vinayak

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