Question

safe circuit
is the circuit created in the previous example considered a safe circuit? in other words, can the homeowner safely use the new television on the current circuit?
14 - gauge wire has an amp rating of 15a. standard voltage in a house is 120 volts.
items on the circuit
250w
plasma tv 240w
humidifier 1000w
cable box 8w
yes
no
submit answer

Explanation:

Step1: Calculate total power

First, find the sum of the power of all items on the circuit.

$$P_{total}=250 + 240+1000 + 8=1498\ \text{W}$$

Step2: Calculate maximum power the circuit can handle

Use the formula \(P = VI\). Given \(V = 120\ \text{V}\) and \(I = 15\ \text{A}\)

$$P_{max}=120\times15 = 1800\ \text{W}$$

Step3: Compare powers

Since \(P_{total}=1498\ \text{W}

Answer:

Yes