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A 1.0 µF capacitor initially stores 15 µC of charge - AQA - A-Level Physics - Question 21 - 2019 - Paper 2

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A 1.0 µF capacitor initially stores 15 µC of charge. It then discharges through a 25 Ω resistor. What is the maximum current during the discharge of the capacitor?

Worked Solution & Example Answer:A 1.0 µF capacitor initially stores 15 µC of charge - AQA - A-Level Physics - Question 21 - 2019 - Paper 2

Step 1

What is the maximum current during the discharge of the capacitor?

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Answer

To find the maximum current (ImaxI_{max}) during the discharge of a capacitor, we can use the formula:

Imax=QRI_{max} = \frac{Q}{R}

where:

  • QQ is the charge stored in the capacitor (in coulombs), and
  • RR is the resistance (in ohms).

Step 1: Convert Units

Given:

  • Capacitor charge, Q=15μC=15×106CQ = 15 \mu C = 15 \times 10^{-6} C
  • Resistance, R=25ΩR = 25 \Omega

Step 2: Calculate Maximum Current

Now, substituting the values into the formula:

Imax=15×10625I_{max} = \frac{15 \times 10^{-6}}{25}

Calculating this gives:

Imax=0.0006A=0.6mAI_{max} = 0.0006 A = 0.6 mA

Conclusion

Thus, the maximum current during the discharge of the capacitor is 0.6 mA, which corresponds to option A.

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