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A 20 µF capacitor is connected to a 12 V d.c - Scottish Highers Physics - Question 20 - 2016

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A 20 µF capacitor is connected to a 12 V d.c. supply. The maximum charge stored on the capacitor is A 1.4 × 10⁻⁴ C B 2.4 × 10⁻⁴ C C 1.2 × 10⁻⁴ C D 1.7 × 10⁻⁴ C E 6.0... show full transcript

Worked Solution & Example Answer:A 20 µF capacitor is connected to a 12 V d.c - Scottish Highers Physics - Question 20 - 2016

Step 1

Calculate the maximum charge stored on the capacitor

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Answer

To find the maximum charge (Q) stored in a capacitor, we use the formula:

Q=CimesVQ = C imes V

where:

  • CC is the capacitance in farads (F), and
  • VV is the voltage in volts (V).

In this case, we have:

  • C=20μF=20×106 FC = 20 \, \mu F = 20 \times 10^{-6} \ F
  • V=12 VV = 12 \ V

Plugging in the values:

Q=(20×106)×12=240×106 C=2.4×104 CQ = (20 \times 10^{-6}) \times 12 = 240 \times 10^{-6} \ C = 2.4 \times 10^{-4} \ C

Thus, the maximum charge stored on the capacitor is B 2.4 × 10⁻⁴ C.

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