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 Ω. What will be the effective resistance if they are connected in series?

Question

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 Ω. What will be the effective resistance if they are connected in series? (A) 0.25 Ω (B) 0.5 Ω (C) 1 Ω (D) 4 Ω

Tardigrade Admin · Accepted Answer

If the wires are connected in parallel then R eq = R / 4=0.25 ⇒ R =1 Ω So, after they are connected in series R eq =4 R =4 Ω

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

$0.25 Ω$

$0.5 Ω$

$1 Ω$

$4 Ω$

If the wires are connected in parallel then
$R_{e q} = R /4 = 0.25$
$\Rightarrow R = 1Ω$
So, after they are connected in series
$R_{e q} = 4 R = 4Ω$

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

0.25Ω

0.5Ω

1Ω

4Ω