ISRO Electronics & Communication (ECE) 2007 - Question 72

All ISRO Electronics & Communication (ECE) papers | ISRO Electronics & Communication (ECE) 2007

Equivalent Resistance between X and Y is \n\n[Figure needs to be uploaded later]

  • A. 75 $\Omega$
  • B. 50 $\Omega$
  • C. 275 $\Omega$
  • D. None of these

Answer: A. 75 $\Omega$

Explanation: [Figure needs to be uploaded later]\nFirst the rightmost two resistors 50 $\Omega$ and 25 $\Omega$ are in series, resulting in $50+25=75~\Omega$. This makes three 75 $\Omega$ resistors in parallel. $\frac{1}{R'} = \frac{1}{75}+\frac{1}{75}+\frac{1}{75} = \frac{3}{75} \Rightarrow R' = 25~\Omega$. Finally, $R_{eq} = 50 + 25 = 75~\Omega$.

| | All questions of ISRO Electronics & Communication (ECE) 2007