Question

A 120-V electrical line in a home is connected to a 100-W lightbulb, a 180-W television set, a 230-W desktop computer, a 1050-W toaster, and a 240-W refrigerator. How much current is flowing in the line

Answer 1

Step-by-step explanation:

It is known that relation between voltage and power is as follows.

Power (P) = Voltage (V) × Current (I)

or, I =
`(P)/(V)`

Since, it is given that the elements are in parallel so the currents will get added. Therefore, total current in the line will be as follows.

I =
`(P_(1))/(V) + (P_(2))/(V) + (P_(3))/(V) + (P_(4))/(V) + (P_(5))/(V)`

=
`(1)/(120) (100 + 180 + 230 + 1050 + 240)`

=
`(1800)/(120)`

= 15 A

Therefore, we can conclude that 15 ampere current is flowing in the line.