Question

A coffee-maker (14 Ω) and a toaster (19 Ω) are connected in parallel to the same 120-V outlet in a kitchen. How much total power is supplied to the two appliances when both are turned on?

Answer 1

Answer:

1.786 kW

Explanation:

R1 = 14 Ohm, R2 = 19 Ohm

They are connected in parallel.

Let the equivalent resistance is R.

1 / R = 1 / R1 + 1 / R2

1 / R = 1 / 14 + 1 / 19

1 / R = (19 + 14) / 266

R = 266 / 33 = 8.06 ohm

V = 120 V

Let the power is P

P = V^2 / R

P = 120 x 120 / 8.06 = 1786.6 Watt = 1.786 kW