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Figure 19 shows a lamp connected to a d.c - Edexcel - GCSE Physics - Question 8 - 2022 - Paper 1

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Question 8

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Figure 19 shows a lamp connected to a d.c. power supply. The power supply provides a potential difference (voltage) of 4.5 V. The current in the lamp is 0.30 A. (i... show full transcript

Worked Solution & Example Answer:Figure 19 shows a lamp connected to a d.c - Edexcel - GCSE Physics - Question 8 - 2022 - Paper 1

Step 1

Calculate the resistance of the lamp.

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Answer

To calculate the resistance of the lamp, we will use Ohm's Law, which states that resistance ( R) is equal to the voltage (V) divided by the current (I).

Given:

  • Voltage (V) = 4.5 V
  • Current (I) = 0.30 A

We apply the formula:

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

Substituting the values:

R=4.50.30=15ΩR = \frac{4.5}{0.30} = 15 \Omega

Therefore, the resistance of the lamp is 15 Ω.

Step 2

Calculate the power supplied to the lamp.

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Answer

The power supplied to the lamp can be calculated using the formula:

Power=V×I\text{Power} = V \times I

Substituting the known values:

  • Voltage (V) = 4.5 V
  • Current (I) = 0.30 A

Calculating:

Power=4.5×0.30=1.35W\text{Power} = 4.5 \times 0.30 = 1.35 W

Thus, the power supplied to the lamp is approximately 1.4 W.

Step 3

State and explain the difference between the brightness of the lamp in Figure 19 and the brightness of a lamp in Figure 20.

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Answer

When another identical lamp is added in parallel, the total resistance in the circuit decreases because the resistance of multiple paths leads to an overall reduction in resistance.

This means:

  • The total current from the power supply increases.
  • Each lamp receives the same voltage (4.5 V) as in Figure 19.
  • However, the total power drawn from the supply increases, causing the lamps in Figure 20 to have less brightness compared to the single lamp in Figure 19, as the current splits across the two lamps.

Key Points:

  • The brightness of a lamp is directly related to the power it receives.
  • In Figure 20, the increase in resistance due to adding another lamp decreases the power to each lamp, making them dimmer than the single lamp in Figure 19.

Step 4

Draw a diagram of the circuit.

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Answer

To measure the resistance of 50 cm of resistance wire, the circuit diagram should include:

  • A low voltage power supply (battery)
  • An ammeter in series to measure current
  • A voltmeter in parallel to measure potential difference across the resistance wire
  • Resistance wire identified clearly
  • Taps for measuring only 50 cm of the wire

The diagram should clearly label each component according to standard circuit symbols.

Step 5

Describe the difference between direct current (d.c.) and alternating current (a.c.) in electrical circuits.

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Answer

Direct current (d.c.) flows in one direction only, ensuring a consistent flow of electrons. This is typical in batteries and other similar sources.

In contrast, alternating current (a.c.) changes direction periodically, reversing its current flow, which is commonly used in households and for powering appliances. This allows for efficient long-distance transmission of electricity.

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