Question

An electric heater is rated at 1430 W, a toaster at 890 W, and an electric grill at 1760 W. The three appliances are connected in parallel to a common 120 V circuit. How much total current does this circuit draw?

Answer 1

34.01 A

Step-by-step explanation:

`P_(heater)` = Power of the electric heater = 1430 W

`P_(toaster)` = Power of the toaster = 890 W

`P_(grill)` = Power of the electric grill = 1760 W

V = Voltage of the battery connected in parallel to appliances = 120 volts

Using ohm's law, current drawn by heater is given as

`i_(heater) = (P_(heater))/(V)`

`i_(heater) = (1430)/(120)`

`i_(heater)` = 11.92 A

Using ohm's law, current drawn by toaster is given as

`i_(toaster) = (P_(toaster))/(V)`

`i_(toaster) = (890)/(120)`

`i_(toaster)` = 7.42 A

Using ohm's law, current drawn by grill is given as

`i_(grill) = (P_(grill))/(V)`

`i_(grill) = (1760)/(120)`

`i_(grill)` = 14.67 A

Total circuit drawn is given as

`i_(total)` =
`i_(heater)` +
`i_(toaster)` +
`i_(grill)`

`i_(total)` = 11.92 + 7.42 + 14.67

`i_(total)` = 34.01 A