If the TV draws a 150W of power, the dishwasher 1500 W of power and the computer 100 W of power, will a typical 15 A circuit breaker trip if they operate simultaneously on one line? Explain why.

Isn't P= IV and P=I^2R and P- V^2/R
So wouldn't that mean that as these three appliances are being used power increases so I will also increase causing the 15 A circuit breaker to trip. Also because they are operating simultaneously on one line wouldn't that mean they are in series so I throughout the circuit is the same?

The three appliances would be operating in parallel.

Total power drawn is 1750 W, which at 110 V (which is typical in the USA) corresponds to 15.9 A. At 115 V, it would be 15.2 A.

The breaker would probably trip.

To determine if a typical 15 A circuit breaker will trip when these appliances operate simultaneously on one line, we need to calculate the total power consumed by all the appliances and compare it to the maximum power that the circuit breaker can handle.

First, let's find the total power consumed by all the appliances. The power consumed by each appliance is given: TV = 150 W, dishwasher = 1500 W, and computer = 100 W.

Adding up these powers, we get:
Total power = 150 W + 1500 W + 100 W = 1750 W

Now, let's convert the power to current. Recall that P = IV, where P is power, I is current, and V is voltage. Since the voltage in most residential circuits is around 120V, we can calculate the current using I = P/V.

Total current = 1750 W / 120 V ≈ 14.6 A

From this calculation, we can see that the total current drawn by the appliances is approximately 14.6 A.

Since the total current is below the 15 A rating of the circuit breaker, it should theoretically not trip when these appliances are operated simultaneously. This is because the circuit breaker is designed to handle current up to its rated value (in this case, 15 A) without tripping.

Regarding your comment on the appliances being in series, it's important to note that electrical appliances in a typical household are connected in parallel, not in series. In a parallel connection, the voltage is the same across each appliance, while the current may vary. This means that the total current drawn by the appliances can be higher than the current consumed by any individual appliance.

In conclusion, based on the power consumption and the calculated total current, the typical 15 A circuit breaker should not trip when the TV, dishwasher, and computer operate simultaneously on one line.