Problema Solution
If the total resistance of two circuits in parallel is 12 ohms and one circuits has four times the resistance of the other, find the resistance of each circuit.
Answer provided by our tutors
let 'x' represent the resistance in one circuit, then '4x' represents the resistance in the other circuit
12 = 1/(1/x + 1/4x)
solving for 'x' we have x=15
4*15 = 60
the resistance in one circuit is 15 ohms, the resistance in the other circuit is 60 ohms