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 :

Explanation:

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

                Power (P) = Voltage (V) × Current (I)

or,               I = [tex]\frac{P}{V}[/tex]

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 = [tex]\frac{P_{1}}{V} + \frac{P_{2}}{V} + \frac{P_{3}}{V} + \frac{P_{4}}{V} + \frac{P_{5}}{V}[/tex]

         = [tex]\frac{1}{120} (100 + 180 + 230 + 1050 + 240)[/tex]

         = [tex]\frac{1800}{120}[/tex]

         = 15 A

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

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