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A 20μF capacitor is connected to a 12V d.c - Scottish Highers Physics - Question 17 - 2017

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A 20μF capacitor is connected to a 12V d.c. supply. The maximum charge stored on the capacitor is A 1.4 × 10³ C B 2.4 × 10³ C C 1.4 × 10⁴ C D 1.7 × 10³ C E 6.0 × 10⁷... show full transcript

Worked Solution & Example Answer:A 20μF capacitor is connected to a 12V d.c - Scottish Highers Physics - Question 17 - 2017

Step 1

Calculate the charge stored on the capacitor

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Answer

To find the maximum charge stored on a capacitor, we use the formula:

Q=CimesVQ = C imes V

where:

  • QQ is the charge in coulombs,
  • CC is the capacitance in farads,
  • VV is the voltage in volts.

In this case, we have:

  • C=20μF=20imes106FC = 20μF = 20 imes 10^{-6} F
  • V=12VV = 12V.

Substituting the values we get:

Q=20imes106imes12=240imes106=2.4imes104CQ = 20 imes 10^{-6} imes 12 = 240 imes 10^{-6} = 2.4 imes 10^{-4} C.

Thus, the maximum charge stored on the capacitor is 2.4×103C2.4 × 10^3 C, which corresponds to option B.

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