Question

Sum of the resistances is 5 ohm & the product of the resistances is 6 ohm. The equivalent resistances in the series & parallel respectively will be
(a)5 ohm, 6/5 ohm
(b)6/5 ohm, 5 ohm
(c)5 ohm, 5/6 ohm
(d)6/5 ohm, 5/6 ohm​

Answer 1

Answer:

Rs = 5 ohm and Rp = 6/5 ohm

Explanation:

We are given,

R1 + R2 = 5 ohm

R1 × R2 = 6 ohm

Now,

If connected in Series Rs = R1 + R2

Thus,

Rs = 5 ohm

Now,

If connected in Parallel

(1/Rp) = (1/R1) + (1/R2)

(1/Rp) = (R1 + R2)/(R1 × R2)

Rp = (R1 × R2)/(R1 + R2)

Thus,

Rp = 6/5 ohm

Thus,

Rs = 5 ohm and Rp = 6/5 ohm

Hope it helped and you understood it........All the best