## Fundamentals of Electrical Engineering

Start by calculating the resistance of each configuration in terms of variables $R_1$ and $R_2$ Series: $R = R1 + R2$ Parallel: $R = R1*R2/(R1 + R2)$ Series will have lowest power since it has highest resistance of the configurations Parallel will have the highest power since it has the lowest resistance Series: $300 = (220)^2 / (R1 + R2)$ Parallel: $2000 = 220^2 * (R1 + R2) /( R1*R2)$ 2 unknowns and 2 equations Solving for R1 and R2 in calculator gives: R1 = 131.684, R2 = 29.6485 Now use the equation $P = V^2 /R$ to calculate the other powers R1 : $P = 220^2 / 131.68 = 367.55 W$ R2: $P = 220^2 / 29.6485 = 1632.5W$