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Electricity costs 20p for each kWh - Edexcel - GCSE Physics - Question 6 - 2014 - Paper 1

Question 6

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 between th... show full transcript

Worked Solution & Example Answer: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.

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Answer

To calculate the cost of electricity used, first we determine the difference in meter readings:

Initial reading: 15339 kWh
Final reading: 15459 kWh

The electricity used is:

$ext{Electricity used} = 15459 ext{ kWh} - 15339 ext{ kWh} = 120 ext{ kWh}$

Next, we calculate the cost:

$ext{Cost} = ext{Electricity used} imes ext{Price per kWh} = 120 ext{ kWh} imes 0.20 ext{£/kWh} = 24 ext{£}$

Step 2

Calculate the average power supplied.

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Answer

To find the average power supplied, we use the formula:

$ext{Average Power} = rac{ ext{Total Energy Used}}{ ext{Time}}$

From part (i), we have Total Energy Used = 120 kWh. The time between the readings is 15 hours. Thus,

$ext{Average Power} = rac{120 ext{ kWh}}{15 ext{ h}} = 8 ext{ kW}$

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