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This question is about using the mains electricity supply - Edexcel - GCSE Physics Combined Science - Question 3 - 2021 - Paper 1

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This question is about using the mains electricity supply. (a) (i) An electric kettle is used to boil some water. The mains supply voltage is 230 V. The power suppl... show full transcript

Worked Solution & Example Answer:This question is about using the mains electricity supply - Edexcel - GCSE Physics Combined Science - Question 3 - 2021 - Paper 1

Step 1

Calculate the current in the kettle.

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Answer

To find the current supplied to the kettle, we'll use the formula:

I=PVI = \frac{P}{V}

Where:

  • P = 1.9 kW = 1.9 \times 10^3 W
  • V = 230 V

Substituting the values:

I=1.9×103230I = \frac{1.9 \times 10^3}{230}

Calculating this gives:

I=8.26AI = 8.26 A

Thus, the current supplied to the kettle is approximately 8.3 A.

Step 2

Calculate the energy transferred to the coffee machine in 120 s.

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Answer

To calculate the energy transferred to the coffee machine, we will use the formula:

E=I×V×tE = I \times V \times t

Where:

  • I = 7.4 A
  • V = 230 V
  • t = 120 s

Substituting the values:

E=7.4×230×120E = 7.4 \times 230 \times 120

Calculating this gives:

E=204000JE = 204000 J

Therefore, the energy transferred to the coffee machine is 204,000 J.

Step 3

State the name of wire X and the name of wire Y.

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Answer

Wire X is the earth wire. Wire Y is the live wire.

Step 4

State the name of component Z.

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Answer

Component Z is a fuse.

Step 5

Calculate the input current to the transformer.

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Answer

To find the input current, use the equation related to the transformer:

input current×input voltage=output current×output voltage\text{input current} \times \text{input voltage} = \text{output current} \times \text{output voltage}

Rearranging the formula for input current gives:

input current=output current×output voltageinput voltage\text{input current} = \frac{\text{output current} \times \text{output voltage}}{\text{input voltage}}

Substituting in the values:

  • Output current = 2.37 A
  • Output voltage = 190 V
  • Input voltage = 230 V

Thus:

input current=2.37×190230\text{input current} = \frac{2.37 \times 190}{230}

Calculating this:

input current0.196A\text{input current} \approx 0.196 A

Therefore, the input current to the transformer is approximately 0.196 A.

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