Resistor Combination Limits – Rankers Physics

Combination of Resistors: Practice Problem & Solution

Which of the following is not possible by combination of four resistors each equal to \(8 \Omega \)?
\(20 \Omega \)
\(32/3 \Omega\)
\(1 \Omega\)
\(8 \Omega\)

Solution Explained:

To solve this problem, we apply the core principles of Combination of Resistors. Understanding the underlying formula is key to arriving at the correct answer below:

With four \(8 \Omega \) resistors, the minimum possible equivalent resistance is when all four are in parallel: \(R_{min} = 8/4 = 2 \Omega\). Thus, \(1\Omega\) is impossible.

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