Question

While Dr. Chesnutt is making breakfast, she turns on her 1060 W toaster, 500 W coffee pot, and 1230 W microwave at the same time. Part Description Answer Save Status A. If all three appliances are connected in parallel across a 120 V power source, what total current would they draw from the source? (include units with answer) Format Check Click here to check your answer 4 pts.100% 13% try penalty 8 try limit # tries: 0

Answer 1

Answer:23.25 A

Step-by-step explanation:

Given

Rating of toaster
`P_1=1060\ W`

Coffee pot
`P_2=500\ W`

microwave
`P_3=1230\ W`

Voltage applied
`V=120\ V`

if they are connected in parallel then all three operates at same voltage

so their resistance are

`P=(V^2)/(R)`

thus
`R_1=(V^2)/(P_1)=(120^2)/(1060)`

`R_1=13.58\ \Omega`

`R_2=(V^2)/(P_2)=(120^2)/(500)`

`R_2=28.8\ \Omega`

`R_3=(V^2)/(P_3)=(120^2)/(1230)`

`R_3=11.707\ \Omega`

and
`V=IR`

where I=current

thus
`I_1=(V)/(R_1)=(120)/(13.58)`

`I_1=8.83\ A`

`I_2=(V)/(R_2)=(120)/(28.8)`

`I_2=4.16\ A`

`I_3=(V)/(R_3)=(120)/(11.707)`

`I_3=10.25\ A`

Total current
`I=I_1+I_2+I_3=23.24\ A`