If 2 resistance of 1 ohm is connected in series then equivalent resistance comes out to be 2 Volt.Now how many 4 ohm resistance should be connected in parallel to get this same equivalent resistance?
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Answer:
Ri=25-R2
R2 = 25-R1
Parallel Connection : (R1. R2)/(RI+ R2) = 4
(R1x R2) /25 = 4
R1.x R2 = 100
RI x (25-R1) = 100
25R1 - Rl ^2 = 100
R1^2-25R1 + 100 = 0
RI^2-5RI-20Rl +100 =0
R1(RI-5)-20(R1-5) = 0
(R1-5) (R1-20) = 0
Therefore R1=5 or 20
R2 = 25-R1 =20 or 5.
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