Showing posts with label (b) the lowest total resistance that can be secured by combinations of four coils of resistance. Show all posts
Showing posts with label (b) the lowest total resistance that can be secured by combinations of four coils of resistance. Show all posts

Wednesday, 15 May 2013

What is (a) the highest, (b) the lowest total resistance that can be secured by combinations of four coils of resistance



Question 5:
What is (a) the highest, (b) the lowest total resistance that can be secured by combinations of four coils of resistance 4 Ω, 8 Ω, 12 Ω, 24 Ω?
Solution:
Given resistances R1 =4 Ω, R2=8 Ω, R3=12Ω, and R4=24Ω.
(a) If these coils are connected in series, then the equivalent resistance will
be the highest, as R=R1+R2+R3+R4
∴ R=4+8+12+24 = 24Ω
(b) If these coils are connected in parallel, then the equivalent resistance will be the lowest, given by

 


⇒R=2 Ω

∴ 2 Ω is the lowest total resistance.