High School

A 1,000 W immersion heater, a 700 W microwave oven, and a 1,200 W toaster oven are all plugged into a single 120 V outlet. The outlet is connected to a 15 A circuit breaker. Will the circuit breaker trip?

a. True
b. False

Answer :

Final Answer:

The given statement "The circuit breaker will likely trip" is true. (a)

Explanation:

The total power consumed by the appliances is the sum of the power ratings of the immersion heater, microwave oven, and toaster oven, which is 1,000 W + 700 W + 1,200 W = 2,900 W.

To determine the current flowing through the circuit, we use Ohm's Law, P = IV, where P is power and V is voltage. Rearranging the formula to solve for current (I), we get I = P/V. Substituting the values, I = 2,900 W / 120 V ≈ 24.17 A. This current exceeds the capacity of the 15 A circuit breaker, so the circuit breaker will trip.

In summary, the total power demand of the appliances is 2,900 W, and the resulting current of approximately 24.17 A exceeds the capacity of the 15 A circuit breaker. Therefore, the correct option is (a) true, indicating that the circuit breaker will likely trip due to the excessive current flow. (a)