Question

Two resistances R1 and R2 have effective resistance Rs when connected in sires combination and Rp when connected in parallel combination if RsRp = 16 and (R1/R2) = 4 the values of R1 and R2 are

(A) 2Ω and 0.5Ω

(B) 1Ω and 0.25Ω

(C) 8Ω and 2Ω

(D) 4Ω and 1Ω

Answer 1

The correct option (C) 8Ω and 2Ω

Explanation:

(R1/R2) = 4 (1)

Rs ∙ Rp = 16

i.e. (R1 + R2) × {(R1 R2)/(R1 + R2)} = 16

R1 R2 = 16

from (1) R1 = 4R2

∴ R2 × 4R2 = 16

∴ R2 = 2Ω

∴ R1 = 4R2

R1 = 8Ω