Question

Find the equivalent resistance across AB

• A. 1\(\Omega\)
• B. 2\(\Omega\)
• C. 3\(\Omega\)
• D. 4\(\Omega\)

Hint:

Simplify from farthest end towards the terminals.

Answer 1

The Correct Option is A

Step 1: Understanding the Concept:
Simplify using series and parallel combinations.
Step 2: Detailed Explanation:
\(R_1\) and \(R_2\) parallel: \(R' = \frac{2 \times 2}{2 + 2} = 1\ \Omega\)
\(R_3\) and \(R_4\) parallel: \(R'' = 1\ \Omega\)
\(R'\) and \(R''\) series: \(R''' = 2\ \Omega\)
\(R'''\) and \(R_5\) parallel: \(R_{AB} = \frac{2 \times 2}{2 + 2} = 1\ \Omega\)
Step 3: Final Answer:
Equivalent resistance is \(1\ \Omega\).