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6 (a) Electricity costs 20p for each kWh - Edexcel - GCSE Physics - Question 6 - 2014 - Paper 1
Question 6
6 (a) Electricity costs 20p for each kWh. The pictures show a domestic electricity meter at two different times. (i) Calculate the cost of the electricity used betw... show full transcript
Worked Solution & Example Answer:6 (a) Electricity costs 20p for each kWh - Edexcel - GCSE Physics - Question 6 - 2014 - Paper 1
Step 1
Calculate the cost of the electricity used between the two readings.
Answer
First, determine the energy consumed between the two meter readings. The initial reading is 15339 kWh and the final reading is 15459 kWh.
Energy consumed = Final reading - Initial reading
egin{align*}
Energy,consumed & = 15459,kWh - 15339,kWh \
& = 120,kWh
\
Next, calculate the cost of the electricity used. Given that electricity costs 20 pence per kWh, we can calculate the total cost:
Cost = Energy consumed × Cost per unit
egin{align*}
Cost & = 120,kWh\times 0.20,p\per,kWh \
& = 120 × 0.20 = 24,p\ (or\ 0.24,GBP)
Thus, the total cost of the electricity used is £12.
Step 2
Calculate the average power supplied.
Answer
To find the average power supplied, we use the formula:
Average Power = rac{Energy}{Time}
Where:
- Energy = 120 kWh (from part (i))
- Time = 15 hours
egin{align*}
Average,Power & = rac{120,kWh}{15,h} \
& = 8,kW
Therefore, the average power supplied is 8 kW.