The Square Plates of A $5000 - p F$ Parallel-Plate Capacitor Measure

question 55

Multiple Choice

The square plates of a $5000 - p F$ parallel-plate capacitor measure $50 \mathrm {~mm}$ by $50 \mathrm {~mm}$ and are separated by a dielectric that is $0.23 \mathrm {~mm}$ thickand totally fills the region between the plates. The voltage rating (the maximum safe voltage) of the capacitor is $400 \mathrm {~V}$ . What is the maximum energy that can be stored in this capacitor without damaging it? $\left( \varepsilon _ { 0 } = 8.85 \times 10 ^ { - 12 } \mathrm { C } ^ { 2 } / \mathrm { N } \cdot \mathrm { m } ^ { 2 } \right.$ )

• A) \(0.60 \mathrm {~mJ}\)
• B) \(0.50 \mathrm {~mJ}\)
• C) \(0.80 \mathrm {~mJ}\)
• D) \(0.70 \mathrm {~mJ}\)
• E) \(0.40 \mathrm {~mJ}\)

---

Definitions:

Surgical Procedure

A medical operation involving the cutting of body tissues or organs to repair or remove a part of the body or to diagnose a condition.

Sensory Adaptation

A reduction in sensitivity to a stimulus after constant exposure to it, allowing organisms to focus on changes in their environment.

Weber's Law

A principle stating that the smallest noticeable difference in stimulus intensity is proportional to the intensity of the original stimulus.

Marbles

Small, spherical objects often made of glass, clay, or plastic, used as toys in various games or as collectible items.