10 (a) Figure 18 shows identical filament lamps connected together to a 12V power supply. Calculate the potential difference across each lamp. (1) The power output of each lamp is 0.75W. Calculate the resistance of each lamp. (4) * (b) Explain, with the aid of a circuit diagram, the method a student could use to investigate how the resistance of a single lamp changes with the potential difference across the lamp. (6)

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10 (a) Figure 18 shows identical filament lamps connected together to a 12V power supply - Edexcel - GCSE Physics - Question 10 - 2018 - Paper 1

Question 10

10 (a) Figure 18 shows identical filament lamps connected together to a 12V power supply. Calculate the potential difference across each lamp. (1) The power output... show full transcript

Worked Solution & Example Answer:10 (a) Figure 18 shows identical filament lamps connected together to a 12V power supply - Edexcel - GCSE Physics - Question 10 - 2018 - Paper 1

Step 1

Calculate the potential difference across each lamp.

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Answer

Since there are identical filament lamps connected in parallel to a 12V power supply, the potential difference across each lamp can be calculated by dividing the total voltage by the number of lamps. In this case, if there are 8 identical lamps,

$V = \frac{12V}{8} = 1.5V$

Thus, the potential difference across each lamp is 1.5V.

Step 2

Calculate the resistance of each lamp.

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Answer

To calculate the resistance, we can use the formula relating power (P), voltage (V), and resistance (R):

$P = \frac{V^2}{R}$

Given that the power output of each lamp is 0.75W and using the potential difference calculated previously (1.5V), we can rearrange the formula to find R:

Recall the power formula:

$0.75 = \frac{(1.5)^2}{R}$
Rearrange to find R:

$R = \frac{(1.5)^2}{0.75}$
Calculation:

$R = \frac{2.25}{0.75} = 3 \Omega$

Therefore, the resistance of each lamp is 3Ω.

Step 3

Explain, with the aid of a circuit diagram, the method a student could use to investigate how the resistance of a single lamp changes with the potential difference across the lamp.

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Answer

To investigate how the resistance changes, the student could set up a circuit diagram that includes:

A power supply,
An ammeter to measure current,
A voltmeter to measure potential difference across the lamp,
The lamp itself connected in the circuit.

Method:

Connect the lamp to the power supply, including the ammeter in series and the voltmeter in parallel with the lamp.
Vary the voltage from the power supply and record the current flowing through the lamp.
For each voltage setting, measure and record the potential difference across the lamp.
Calculate the resistance using Ohm's law: $R = \frac{V}{I}$
Repeat the process for several settings and compare the results to find out how the resistance changes with the potential difference.

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10 (a) Figure 18 shows identical filament lamps connected together to a 12V power supply - Edexcel - GCSE Physics - Question 10 - 2018 - Paper 1

Worked Solution & Example Answer:10 (a) Figure 18 shows identical filament lamps connected together to a 12V power supply - Edexcel - GCSE Physics - Question 10 - 2018 - Paper 1

Calculate the potential difference across each lamp.

Calculate the resistance of each lamp.

Explain, with the aid of a circuit diagram, the method a student could use to investigate how the resistance of a single lamp changes with the potential difference across the lamp.

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