When two resistance are connected in series ,they have vale 25 ohm and connected in parallel 4 ohm .Find the value of each resistance?
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let the value of both resistance be x and y.
if they are in series,then
x+y= 25------(1)
if they are in parallel, then,
xy/(x+y)=4
xy/25=4. { using eq.(1)}
xy = 100
x(25-x)=100. {using eq.(1)}
25x-x2=100
x2-25x+100=0
x2-20x-5x+100=0
x(x-20)-5(x-20)=0
(x-5)(x-20)=0
x=5 and 20
thus ,if x=5 then y= 20
if x=20 then y= 5
I hope it would help you.
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