Combination of Resistors: Practice Problem & Solution
The effective resistance of a parallel connection that consists of four wires of equal length, equal area of cross-section and same material is $0.25\ \Omega$. What will be the effective resistance if they are connected in series? (2021)
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:
For 4 identical wires in parallel, $R_p = \frac{R}{4} = 0.25\ \Omega \implies R = 1 \Omega$.
Connected in series, $R_s = 4 R = 4 \times 1 = 4 \Omega$.
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