Two coils have a combined resistance of 25 when connected in series and a resistance of 4 when connected in parallel. What is the resistance of each coil?

Question

Two coils have a combined resistance of 25 when connected in series and a resistance of 4 when connected in parallel. What is the resistance of each coil?

 

I want to get your helps. 

 

Regards!

Answer 1

Two resistors in series have the equation,

 

R_T = R₁ + R₂

 

 

Two resistor in parallel have the equation,

 

1 / R_T = (R₁ + R₂) / R₁R₂

 

 

Using these equations,

 

25 = A + B                              eq1

 

1 / 4 = (A + B) / AB

 

4(A + B) = AB

4A + 4B = AB                           eq2

 

 

Solve the system of equations for A and B, where A and B represent the two resistors of the coils.