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Electricity and Magnetism

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Moderate

Graphical Energy Density of a Cylindrical Capacitor

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Figure 1 depicts the cross sectional view of a cylindrical capacitor of length $L = 10.0 \text{ cm}$, inner radius $a$, and outer radius $b$.

Figure 1. “Timothy Black. Created for Albert.io. Copyright 2016. All rights reserved.”

Figure 2 shows the energy density of this capacitor as a function of radius $r$, over the range:

$$a \leq r \leq b$$

Figure 2. “Timothy Black. Created for Albert.io. Copyright 2016. All rights reserved.”