The total current delivered to a number of devices connected in parallel is the

Question

The total current delivered to a number of devices connected in parallel is the sum of the individual currents in each device. Circuit breakers are resettable automatic switches that protect against a dangerously large total current by "opening" to stop the current at a specified safe value. A 1650 W toaster, a 1090 W iron, and a 1250 W microwave oven are turned on in a kitchen. As the drawing shows, they are all connected through a 20 A circuit breaker to an ac voltage of 120 V.

PLEASE SHOW WORK so I can see how to solve this.

(a) Find the equivalent resistance of the three devices.


(b) Obtain the total current delivered by the source.

Explanation / Answer

Total Power:
P_t = 1090+1650+1250 = 3990 W

b)
Total current:
i = P_t/V = 3830/120 = 33.25 A
i = 33.25 A
a)
Equivalent resistance: Ohm's law:
R_e = V/i = 3.6090 ohms

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