The AC voltge and current in a house consists of two 120 V lines 180o out of pha

Question

The AC voltge and current in a house consists of two 120 V lines 180o out of phase at a frequency of 60 Hz. A 240 V 2000 W dryer, a 240 V 4000 W hot water heater, a 120 V 1000 W television, and a 120 V 400 W refrigerator are running simultaneously?

Part A - Assuming that the price per kWhr is $0.10, what is the cost of running these appliances for 3 hours?

Part B - Assuming that at t = 0 the instantaneous current is 0 A, what is the instantaneous power at t = 1 ms?

  P(t=1ms)= 1193W     P(t=1ms)= 5792W     P(t=1ms)= 2006W     P(t=1ms)= 1816W     P(t=1ms)= 596W     P(t=1ms)= 6397W     P(t=1ms)= 12794W     P(t=1ms)= 7607W     P(t=1ms)= 3804W     P(t=1ms)= 11584W     P(t=1ms)= 1003W     P(t=1ms)= 3632W  

Explanation / Answer

tOtal power consumption = 2000+4000+1000+400 = 7400 W

Energy = power *time =7400*3 hours = 22.2 Kwh

cost of running these appliances is = 22.2 * 0.1 $ = 2.22$

B)

Instantaneous power = Energy x time = 12794 W

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