1-5 only 1-4. The following graph displays the power consumption in a household
ID: 2267588 • Letter: 1
Question
1-5 only1-4. The following graph displays the power consumption in a household over a 24-hour period. Find the following: a. Total energy consumed, in units of kWh b. Value of the average power consumed over the 24-hour period 200 W 800 W 200 w 12 2 4 6 8 10 12 2 46810 12 noon 1-5. The voltage and current at the terminals of the circuit element shown below are equal to zero for t0. For t20, they are: 1 = 1.6e-10*A a. Calculate the power supplied to the element at t-75ms b. Calculate the total energy supplied to the circuit element.
Explanation / Answer
Answer 1.4:
Total Energy Consumed = Power x Time = 200 W x 6 Hour + 800 W x 2 Hour + 100 W x 10 Hour + 1200 W x 4 Hour + 200 W x 2 Hour
= (1200 + 1600 + 1000 + 3600 + 400 ) Wh
= 7800 Wh
= 7.8 kWh
So, Total Energy Consumed = 7.8 kWh
Answer 1.5:
a. Power at t = 25 ms,
p(t = 25 ms) = v(t = 25 ms) x i(t = 25 ms) = 150 x exp(-10 x 0.025) x 1.6 x exp(-10 x 0.025) = 145.5674 W
b.Total Energy Supplied = Power x Time = 145.5674 x 0.025 Ws = 145.5675 x 0.025 x 3600 Wh
= 13101.075 Wh = 13.101075 kWh
Total Energy Supplied is 13.101075 kWh.
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