Real-world modeling: A practical capacitor is not ideal. Which simple equivalent model best represents its behavior for DC leakage and AC response in many applications?
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ALooks like a capacitor in parallel with a resistor
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BIs a short to DC
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CIs an open to AC
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DStores energy in a magnetic field
Answer
Correct Answer: Looks like a capacitor in parallel with a resistor
Explanation
Introduction:Ideal capacitors block DC and pass AC according to reactance, but practical devices also exhibit leakage and losses. This question targets the most common first-order model used in circuit analysis and datasheets.
Given Data / Assumptions:
- Focus on a simple, low-order equivalent.
- Consider DC leakage and basic AC behavior.
- Ignore series inductance and ESR for this introductory model.
Concept / Approach:A practical capacitor can be modeled as an ideal capacitor in parallel with a large resistor (leakage path). More detailed models add ESR in series and ESL, but the parallel resistor captures finite insulation resistance and DC leakage.
Step-by-Step Solution:1) Identify leakage: real dielectrics allow tiny DC current.2) Represent leakage with a high-value resistor in parallel.3) Retain ideal C element to represent energy storage in the electric field.4) Recognize that ESR and ESL are refinements for high-frequency work.
Verification / Alternative check:Datasheets specify insulation resistance or leakage current, which maps directly to a parallel resistance model at rated conditions.
Why Other Options Are Wrong:Is a short to DC: false; capacitors block DC ideally and leak only slightly.Is an open to AC: false; capacitive reactance allows AC current.Stores energy in a magnetic field: that describes inductors; capacitors store energy in an electric field.
Common Pitfalls:Assuming ideal behavior and ignoring leakage can cause bias drift and timing errors in precision circuits.
Final Answer:Looks like a capacitor in parallel with a resistor