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6 (a) Electricity costs 20p for each kW h - Edexcel - GCSE Physics - Question 6 - 2014 - Paper 1

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6 (a) Electricity costs 20p for each kW h. The pictures show a domestic electricity meter at two different times. (i) Calculate the cost of the electricity used bet... show full transcript

Worked Solution & Example Answer:6 (a) Electricity costs 20p for each kW h - Edexcel - GCSE Physics - Question 6 - 2014 - Paper 1

Step 1

(i) Calculate the cost of the electricity used between the two readings.

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Answer

To find the cost of electricity used, first calculate the total energy consumed.

  1. Identify the readings:

    • Initial reading: 15539 kWh
    • Final reading: 15549 kWh

  2. Calculate the energy used:

    extEnergyused=extFinalreading−extInitialreading=15549−15539=10extkWh ext{Energy used} = ext{Final reading} - ext{Initial reading} = 15549 - 15539 = 10 ext{ kWh}

  3. Calculate the cost:

    extCost=extEnergyusedimesextCostperkWh=10imes20extp=200extp=£2 ext{Cost} = ext{Energy used} imes ext{Cost per kWh} = 10 imes 20 ext{ p} = 200 ext{ p} = £2

Thus, the cost of electricity used is £2.

Step 2

(ii) Calculate the average power supplied.

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Answer

To find the average power supplied:

  1. The energy used is 10 kWh, and the time interval is 15 hours.

  2. Use the formula for average power:

    ext{Average power} = rac{ ext{Energy used}}{ ext{Time}}

  3. Substituting the values:

    ext{Average power} = rac{10 ext{ kWh}}{15 ext{ h}} = rac{10}{15} = rac{2}{3} ext{ kW} ext{ or approximately } 0.67 ext{ kW}

Thus, the average power supplied is approximately 0.67 kW.

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