The effective resistance of a parallel connection that consists of four wires of equal length, equal area of cross-section and…

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?
A $0.5\ \Omega$
B $1\ \Omega$
C $4\ \Omega$
D $0.25\ \Omega$

Detailed Solution

In parallel: $R_{eq} = \frac{R}{4} = 0.25\ \Omega \Rightarrow R = 1\ \Omega$ (each wire) In series: $R_{series} = 4R = 4 \times 1 = 4\ \Omega$

Combination of Resistors in past papers

5 questions from this chapter have appeared across 5 exam years.

Keep going

Practise Combination of Resistors All 5 questions This chapter in 2021