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Question

Physics Question on Resistance

The effective resistance of a parallel connection that consists of four wires of equal length, equal area of cross-section and same material is 0.25Ω0.25\, \Omega. What will be the effective resistance if they are connected in series?

A

0.25Ω0.25\, \Omega

B

0.5Ω0.5\, \Omega

C

1Ω1\, \Omega

D

4Ω4\, \Omega

Answer

4Ω4\, \Omega

Explanation

Solution

If the wires are connected in parallel then
Req=R/4=0.25R _{ eq }= R / 4=0.25
R=1Ω\Rightarrow R =1 \Omega
So, after they are connected in series
Req=4R=4ΩR _{ eq }=4 R =4 \Omega