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24 February, 16:04

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?

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  1. 24 February, 18:44
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    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
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