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Figure 3 shows a lamp connected to a d.c - Edexcel - GCSE Physics - Question 2 - 2022 - Paper 1

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Figure 3 shows a lamp connected to a d.c. power supply. The power supply provides a potential difference (voltage) of 4.5V. The current in the lamp is 0.30 A. (i) ... show full transcript

Worked Solution & Example Answer:Figure 3 shows a lamp connected to a d.c - Edexcel - GCSE Physics - Question 2 - 2022 - Paper 1

Step 1

Calculate the resistance of the lamp.

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Answer

To calculate the resistance of the lamp, we use the formula:

R=VIR = \frac{V}{I}

Where:

  • V = voltage = 4.5 V
  • I = current = 0.30 A

Substituting these values into the equation gives us:

R=4.5 V0.30 A=15ΩR = \frac{4.5 \text{ V}}{0.30 \text{ A}} = 15 \Omega

Thus, the resistance of the lamp is 15 Ω.

Step 2

Calculate the power supplied to the lamp.

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Answer

To calculate the power supplied to the lamp, we can use several formulations. One common equation is:

power=V×I\text{power} = V \times I

Substituting the known values:

power=4.5 V×0.30 A=1.35 W\text{power} = 4.5 \text{ V} \times 0.30 \text{ A} = 1.35 \text{ W}

Alternatively, we can also calculate power using resistance:

power=V2R\text{power} = \frac{V^2}{R}

We already determined R as 15 Ω, so:

power=(4.5 V)215Ω=1.35 W\text{power} = \frac{(4.5 \text{ V})^2}{15 \Omega} = 1.35 \text{ W}

In conclusion, the power supplied to the lamp is 1.35 W.

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