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A student set up the electrical circuit shown in Figure 9 - AQA - GCSE Physics - Question 7 - 2018 - Paper 1

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A student set up the electrical circuit shown in Figure 9. Figure 9 The ammeter displays a reading of 0.10 A. Calculate the potential difference across the 45 Ω r... show full transcript

Worked Solution & Example Answer:A student set up the electrical circuit shown in Figure 9 - AQA - GCSE Physics - Question 7 - 2018 - Paper 1

Step 1

The ammeter displays a reading of 0.10 A. Calculate the potential difference across the 45 Ω resistor.

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Answer

To find the potential difference (V) across the 45 Ω resistor, we can use Ohm's Law, which states that V = I × R. Here, I = 0.10 A and R = 45 Ω.

Therefore, V=0.10imes45=4.5extVV = 0.10 imes 45 = 4.5 ext{ V}

Step 2

Calculate the resistance of the resistor labelled R.

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Answer

To calculate the resistance R, we first find the total resistance of the circuit. The total resistance (R_total) in series is: Rtotal=R+60ΩR_{total} = R + 60 \Omega

Knowing that total current (I) is 0.10 A and using V = 12 V, we can first compute R_total:

From Ohm's Law, we have: Rtotal=VI=120.10=120ΩR_{total} = \frac{V}{I} = \frac{12}{0.10} = 120 \Omega

Now we substitute in the series equation: 120=R+60    R=12060=60Ω120 = R + 60 \implies R = 120 - 60 = 60 \Omega

Step 3

State what happens to the total resistance of the circuit and the current through the circuit when switch S is closed.

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Answer

When switch S is closed, the total resistance of the circuit decreases because the circuit will short the resistor labelled R. As a result, the total current will increase due to the reduced resistance, according to Ohm's Law. This is summarized as:

  • Total resistance decreases
  • Current increases

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