Question
The electricity supply to a house has a potential difference of 230 mathrm(~V) . The table below shows the current in some appliances in the house. Appliance & Current in amps Oishasher & 6.50 DVD player & 0.10 Lamp & 0.40 TV & 0.20 (d) Calculate the total power of all the applances in the table above. Use the equation: power = potential difference times current
Answer
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Terence
Master · Tutor for 5 years
Answer
Total Power P = 1495 + 23 + 92 + 46 = 1656
. This means the total power use of all the appliances in the house is 1656 watts.
Explanation
## Step 1 - Identify Given Information ### This problem relates to the physics concept of electrical power. According to the equation of power, power (P) can be calculated as the product of potential difference(V) times the current in the appliance(I) ( i.e P = V*I). In this case, 1. The potential difference(Voltage) supplied to the house is given as это 230 V which is a constant for all appliances.2. The Current drawn by the appliances :- For Dishwasher, Current (I) = 6.50 Amps- For DVD Player, Current (I) = 0.10 Amps- For Lamp, Current (I) = 0.40 Amps- For TV, Current (I) = 0.20 Amps## Step 2 - Calcuate the power for each channel Power consumed by an appliance is given by the product of the voltage supplied and the current drawn. Therefore, the power of each appliance can be calculated as follows:- Dishwasher: \(230(V) * 6.50(I) =1495(W) Watts- Dvd player: \(230(V) * 0.10(I) =23(W) Watts- Lamp: \(230(V) * 0.40(I) =92(W) Watts- Tv: \(230(V) * 0.20(I) =46(W) Watts## Step 3 - Lump PowerLastly, the total power consumed by these appliances is just the sum of the individual power consumed by each.### Total Power = Power by Dishwasher + Power by DVD Player + Power by Lamp + Power by TV