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The photograph shows a laptop computer plugged into the 230 V mains - Edexcel - GCSE Physics - Question 3 - 2016 - Paper 1

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The photograph shows a laptop computer plugged into the 230 V mains. (a) The laptop is left on standby. Its power consumption from the mains is 3.2 W. The cost of... show full transcript

Worked Solution & Example Answer:The photograph shows a laptop computer plugged into the 230 V mains - Edexcel - GCSE Physics - Question 3 - 2016 - Paper 1

Step 1

Calculate the cost of leaving the laptop on standby for 24 hours.

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Answer

To calculate the cost of leaving the laptop on standby for 24 hours:

  1. Convert power consumption to kilowatts:

    3.2extW=0.0032extkW3.2 ext{ W} = 0.0032 ext{ kW}
  2. Calculate energy consumed in kWh:

    extEnergy(kWh)=extPower(kW)imesextTime(h) ext{Energy (kWh)} = ext{Power (kW)} imes ext{Time (h)}

    Here, Time = 24 hours, so:

    extEnergy=0.0032extkWimes24exth=0.0768extkWh ext{Energy} = 0.0032 ext{ kW} imes 24 ext{ h} = 0.0768 ext{ kWh}
  3. Calculate the cost:

    extCost=extEnergy(kWh)imesextCostperkWh ext{Cost} = ext{Energy (kWh)} imes ext{Cost per kWh}

    By substituting the values:

    extCost=0.0768extkWhimes14extp=1.0752extp ext{Cost} = 0.0768 ext{ kWh} imes 14 ext{ p} = 1.0752 ext{ p}
  4. Round the final cost:

    Thus, the cost of leaving the laptop on standby for 24 hours is approximately 1.1 p.

Step 2

Calculate the current drawn from the mains.

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Answer

To calculate the current drawn from the mains when the laptop is in normal use:

  1. Use the relation of power to current and voltage:

    extPower=extVoltageimesextCurrent ext{Power} = ext{Voltage} imes ext{Current}

    Rearranging gives:

    ext{Current} = rac{ ext{Power}}{ ext{Voltage}}
  2. Substitute the power and voltage values:

    Here, Power = 97 W and Voltage = 230 V, so:

    ext{Current} = rac{97 ext{ W}}{230 ext{ V}} \ ext{Current} = 0.42174 ext{ A} \
  3. Round the current to a suitable value:

    Therefore, the current drawn from the mains is approximately 0.42 A.

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