Question

Two resistors when connected together can produce maximum 25 ohm and minimum 6 ohm find the resistance of each resistor

Answer 1

Rp = R1+R2

25 = 6+ x

x. = 25 - 6 = 19 ohm

Answer 2

let the two resistance be R and r

they will produce max resistance when they will be connected in series

R+r = 25

They will produce min resistance when they will be connected in parallel

Rr/R+r = 6

from 1st equation R+r = 6

Rr/25= 6

Rr = 150

(25-r)r= 150

$25r - {r}^{2} = 150$

${r}^{2} - 25r + 150 = 0$

on solving this equation, You will get

r = 15 ohm

R+r = 25

R = 10 ohm