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?

Respuesta :

Answer:

34.01 A

Explanation:

[tex]P_{heater}[/tex] = Power of the electric heater = 1430 W

[tex]P_{toaster}[/tex] = Power of the toaster = 890 W

[tex]P_{grill}[/tex] = 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

[tex]i_{heater} = \frac{P_{heater}}{V}[/tex]

[tex]i_{heater} = \frac{1430}{120}[/tex]

[tex]i_{heater} [/tex] = 11.92 A

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

[tex]i_{toaster} = \frac{P_{toaster}}{V}[/tex]

[tex]i_{toaster} = \frac{890}{120}[/tex]

[tex]i_{toaster} [/tex] = 7.42 A

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

[tex]i_{grill} = \frac{P_{grill}}{V}[/tex]

[tex]i_{grill} = \frac{1760}{120}[/tex]

[tex]i_{grill} [/tex] = 14.67 A

Total circuit drawn is given as

[tex]i_{total} [/tex] = [tex]i_{heater} [/tex] + [tex]i_{toaster} [/tex] + [tex]i_{grill} [/tex]

[tex]i_{total} [/tex] = 11.92 + 7.42 + 14.67

[tex]i_{total} [/tex] = 34.01 A