Question

The electric power delivered to your home has 110 Volts.

All outlets in your kitchen are connected in parallel.

You always have the lights on for 660 Watts, the toaster has a resistance of 440 Ohms, the stove uses power at the rate of 2200 Watts, and the Blender has a resistance of 220 Ohms.

If all these appliances are running at he same time how much total current are you using?

Answer 1

I = 26.80 A

Step-by-step explanation:

From Ohm's law,

V = IR ............ 1

P = IV ............ 2

where V is the value of the voltage, I is the current, R is the resistance and P is the power.

i. The power of light switched on = 660 Watts.

ii. The power of the toaster =
`(V^(2) )/(R)`

=
`((110)^(2) )/(440)`

= 27.5 Watts

iii. The power of the stove = 2200 Watts.

iv. The power of the blender =
`(V^(2) )/(R)`

=
`((110)^(2) )/(220)`

= 55 Watts

Total power of the appliances = 660 + 27.5 + 2200 + 55

= 2942.5 Watts

So that,

P = IV

I =
`(P)/(V)`

=
`(2942.5)/(110)`

= 26.75

I = 26.75 A

The total current being used when all the appliances are running at the same time is 26.80 A.