Series and Parallel Resistance of Four Wires

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?

4 \(\Omega\)

0.25 \(\Omega\)

0.5 \(\Omega\)

1 \(\Omega\)

Solution:

For four identical wires of resistance \(R\) connected in parallel, \(R_p = \frac{R}{4} = 0.25, \Omega ⇒ R = 1, \Omega\). In series, \(R_s = 4R = 4 \times 1, \Omega = 4, \Omega\).

Series and Parallel Resistance of Four Wires

Solution:

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