The resistance of two conductor is 12ohm in parallel and 50 ohm in series find the resistance of each conductor
Answers
Answered by
0
Answer:
Explanation:
Let the resistance of each conductor be = R1 and R2 .
In a parallel connection,
Rp =R1 × R2 / R1 + R2 ----------1
In a series connection ,
Rs = R1 + R2 ------------2
Multiplying equation 1 and 2
Rp × Rs = R1 × R2
R1 × R2
= 12 × 50 = 600
= R1 = 600 / R2
Substituting in equation 2
=R²2 -50R2 + 600 = 0
= (R2 - 20) (R2 - 30) = 0
= R2 = 20 or 30 ohm
The value of each resistance is 20 and 30 ohms.
Similar questions