An electrical circuit has three devices each plugged into a standard household powerpoint. Device A has a resistance of 1.0 kΩ (kiloohm), device B has a resistance of 3.0 kΩ and device C has a resistance of 6.0 kΩ.
If all three devices are turned on for 15 minutes, what will the total energy consumption of the three devices?
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18.15 Wh or 0.01815 kWh (unit) is the total energy consumption of the three devices
Explanation:
Energy consumed = (V²/R)t
House Hold Voltage = 220 V
Time = 15 min = 15/60 hr
= (220²/R) * (15/60)
= 12100/R kWh
=12.1/R kWh
Each points are in parallel hence Energy consumed will be added
= 12.1/1 + 1.21/3 + 1.21/6 Wh
= 12.1(1 + 1/3 + 1/6) Wh
= 12.1 (3/2) Wh
= 18.15 Wh
Another Way net Resistance = 1/(1/1 + 1/3 + 1/6) = 6/(6 + 2 + 1) = 6/9 = 2/3 kΩ = 2000/3 Ω
Energy consumed = (V²/R)t = (220²/(2000/3))* (15/60) = 18.15 Wh
= 0.01815 kWh
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