An Ideal Parallel-Plate Capacitor Having Circular Plates of Diameter $D$ That Are a Distance

question 100

Multiple Choice

An ideal parallel-plate capacitor having circular plates of diameter $D$ that are a distance $d$ apart stores energy $U$ when it is connected across a fixed potential difference. If you want to triple the amount of energy stored in this capacitor by changing only the size of its plates, the diameter should be changed to

• A) \(\frac { D } { 3 }\)
• B) \(3 D\).
• C) \(D \sqrt { 3 }\)
• D) \(\frac { \mathrm { D } } { \sqrt { 3 } }\)
• E) 9D.

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Definitions:

Cognitive Dissonance

A psychological discomfort experienced when holding contradictory beliefs or values, or when behavior and beliefs do not align, often leading to a change in beliefs or behaviors to reduce the dissonance.

Small Amount

A quantity that is less than average or nominal, often referring to a minimal or insignificant portion of something.

Opinion

A belief or judgment that rests on grounds insufficient to produce complete certainty.

Cognitive Dissonance

The discomfort in one's mind arising when an individual simultaneously holds multiple conflicting beliefs, ideas, or values.