Question

The resistance of two conductor is 12ohm in parallel and 50 ohm in series find the resistance of each conductor

Answer 1

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.