Imagine that two parallel plates are charged to achieve a voltage difference Vo between the plates. They have area A and spacing d. The plates are then electrically isolated so that no charge can be added or taken away. A good conductor of thickness d/2 is placed in between the two plates, as shown. How about the electrical stored energy, using the formula U = (1/2) QV? What was it before, and what is it now?

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Asked Nov 11, 2019
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Imagine that two parallel plates are charged to achieve a voltage difference Vo between the plates. They have area A and spacing d. The plates are then electrically isolated so that no charge can be added or taken away. A good conductor of thickness d/2 is placed in between the two plates, as shown. How about the electrical stored energy, using the formula U = (1/2) QV? What was it before, and what is it now?

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Expert Answer

Step 1

Initial potential difference is,

V=Ed
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V=Ed

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Step 2

When the conductor is placed between the plates, the electric field inside the conductor is zero.

f. 1
Conductor
d
E 0
4
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f. 1 Conductor d E 0 4

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Step 3

The new potential di...

xp-
V =E-dx
EgdxEdxEdx
=E
Ed
2
0.5
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xp- V =E-dx EgdxEdxEdx =E Ed 2 0.5

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Electrostatic Potential and Capacitance

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