Question

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Answer 1

(a) highest: 48 ohm

(b) lowest: 2 ohm

Answer 2

Answer:

(a)24Ω is the lowest total resistance.

(b) 2 Ω is the lowest total resistance.

Explanation:

Answer: 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

1/R=1/R1+1/R2+1/R3+1/R4

1/R=1/4+1/8+1/12+1/24

1/R=6+3+2+1

1/R=12/24=12

⇒R=2 Ω

∴ 2 Ω is the lowest total resistance.