The circuit diagram shows a network of resistors each of resistance R. What is the effective resistance between the points X and Y?
Correct answer: C. 5R/8
- A. 2R/7
- B. R/2
- C. 5R/8
- D. 2R/3
- E. 3R/4
Explanation
Top two resistors placed in series have resistance, R+R=2R1 /R=1 /R+1 /2R=>1/R=3 /2R=> R=2/3*R (for combination two series with one parallel,on topmost side of diagram)1 /R=1 /R+1 /2R=>1/R=3 /2R=> R=2/3*R (for combination two series with one parallel,on topmost side ofdiagram)⅔ R+R=>(5/3)*R (for upper branch), which is in parallel with R of lower branch1 /R=3 /5R+R=>1/R=8 /5R=> R=5/8R,HENCE C is the correct option
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