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A circuit is set up as shown - Scottish Highers Physics - Question 22 - 2022

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A circuit is set up as shown. The battery has negligible internal resistance. The capacitor is initially uncharged. The switch is now closed. When the reading on t... show full transcript

Worked Solution & Example Answer:A circuit is set up as shown - Scottish Highers Physics - Question 22 - 2022

Step 1

Calculate the Charge Stored on the Capacitor

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Answer

The charge stored on a capacitor can be calculated using the formula:

Q=CimesVQ = C imes V

where:

  • QQ is the charge in coulombs (C)
  • CC is the capacitance in farads (F)
  • VV is the voltage across the capacitor in volts (V)

Given:

  • Capacitance, C=220μF=220×106FC = 220 \, \mu F = 220 \times 10^{-6} \, F
  • Voltage, V=7.0VV = 7.0 \, V

Substituting these values into the formula gives:

Q=220×106×7=1.54×103CQ = 220 \times 10^{-6} \times 7 = 1.54 \times 10^{-3} \, C

This value can be approximated as 1.5 × 10⁻³ C, which corresponds to option D.

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