Home Power Distribution The circuit of Figure emulates a typical 60-Hz residential power system. There are three wires entering the house, two are called "hot" and the remaining one is called the return or "neutral."

Each hot line is protected by a circuit breaker-but not the return. In the "house," appliances such as lights, toasters, and electronics are connected between one of the hot wires and the neutral. Large appliances such as ovens and dryers are connected between the two hot wires. Appliances are designed to operate with either 120 V or 240 V within a few volts either way.

(a) Show that if R₁ and R₂ are equal, I_N = 0 and V₁ = V₂.

(b) Consider a typical power draw where an R₁ is, for example, a 130-Ω light bulb, R₂ a 40-Ω toaster, and R₃ 10-Ω clothes dryer. Find the phasors V₁ and V₂ and find I_N.

(c) Based on your results in (a) and (b), is the neutral line even necessary? Open the neutral line, that is, force I_N = 0, and again find the voltages V₁ and V₂. What is your answer? Would your home be better protected by adding a breaker to the return line?

(d) Simulate the circuit in Multisim and validate your results. The source frequency is 60 Hz.