Question

A coffee-maker (19Ω) and a toaster (11Ω) are connected in parallel to the same 120−V outlet in a kitchen. How much total power is supplied to the two appliances when both are turned on?

Answer 1

The total power supplied to both the coffee-maker and toaster when turned on and connected in parallel to a 120-V outlet is 2067.6 W.

Step-by-step explanation:

To find the total power supplied to the coffee-maker and the toaster when connected in parallel to a 120-V outlet, we first calculate the current through each using Ohm's Law (I = V/R), and then find the power using P = IV. For the coffee-maker with resistance R = 19Ω, the current I1 is 120 V / 19 Ω = 6.32 A. For the toaster with resistance R = 11Ω, the current I2 is 120 V / 11 Ω = 10.91 A. Then, the power for the coffee-maker is P1 = 120 V * 6.32 A = 758.4 W, and for the toaster, P2 = 120 V * 10.91 A = 1309.2 W. Lastly, the total power supplied is Ptotal = P1 + P2 = 758.4 W + 1309.2 W = 2067.6 W.