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MDCAT
Physics
2021

Physics · Electrostatics

Work through this past-paper style MCQ, then read the full explanation. Practice more physics questions on mMCQ with adaptive practice and topic analytics.

Question

Energy stored in a parallel plate capacitor:

Options
  • A

    CV

  • B

    CV^2

  • C

    ½ CV  

  • D

    ½ CV^2 

Explanation

Energy stored in a parallel capacitor is 12 qv, where q =cv so 1/2 cv2.

A suggests that the energy stored in a parallel plate capacitor is given by CV. However, this option is incorrect. The expression CV corresponds to the charge stored in the capacitor, not its energy. The energy stored in a capacitor depends on the voltage across its plates.

B suggests that the energy stored in a parallel plate capacitor is given by CV2. However, this option is also incorrect. The correct expression for the energy stored in a parallel-plate capacitor does not involve squaring the voltage.

C suggests that the energy stored in a parallel plate capacitor is given by 1/2 CV. Although this expression is similar to the correct expression, it is not accurate. The correct expression for the energy stored in a parallel plate capacitor does involve a factor of 1/2, but it is not placed in front of CV.

The energy stored in a parallel plate capacitor is given by the formula:

E = 1/2 * C * V2

Where:

E is the energy stored in the capacitor.

C is the capacitance of the capacitor, and

V is the voltage across the capacitor.

This formula represents the relationship between the capacitance, voltage, and energy stored in a capacitor. It shows that the energy stored in the capacitor is directly proportional to the square of the voltage and the capacitance. The factor of 1/2 in the formula arises from the integration of the voltage with respect to charge during the charging process of the capacitor.

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Tagged under Physics · Electrostatics · 2021