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