Energy storage mechanism – Which field stores energy in a capacitor? Statement: “Energy is stored by a capacitor in a magnetic field.” Choose the correct evaluation.

Difficulty: Easy

Correct Answer: False

Explanation:


Introduction / Context:
Understanding where energy resides in reactive components is central for safe design, energy density estimation, and transient behavior. Capacitors and inductors store energy in different physical fields.



Given Data / Assumptions:

  • Ideal lumped components: capacitor (C) and inductor (L).
  • No parasitic coupling or significant losses.
  • Standard field relationships apply.


Concept / Approach:

A capacitor stores energy in its electric field between plates: Wc = (1/2) * C * V^2. An inductor stores energy in its magnetic field: WL = (1/2) * L * I^2. Therefore, the statement that a capacitor stores energy in a magnetic field is false; that description belongs to an inductor.



Step-by-Step Solution:

For a charged capacitor, electric field E exists between plates; energy density ue = (1/2) * ε * E^2.Total stored energy integrates ue over the volume → Wc = (1/2) * C * V^2.Magnetic energy corresponds to inductors where energy density um = (1/2) * B * H and WL = (1/2) * L * I^2.Thus, the given statement is incorrect.


Verification / Alternative check:

Discharge a capacitor across a resistor: energy released equals (1/2) * C * V^2, consistent with purely electric-field storage; no magnetic core is required for a capacitor to store energy.



Why Other Options Are Wrong:

Frequency, dielectric type, or current magnitude do not convert a capacitor’s storage mechanism from electric to magnetic field. Any magnetic effects near currents are incidental and small for ideal capacitor operation.



Common Pitfalls:

Associating the presence of current during charging with magnetic energy storage; mixing up inductor and capacitor roles in LC resonant tanks.



Final Answer:

False.

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