Energy Stored in Electric Fields: The energy stored in a capacitor is UE = CAVC² We can understand this since it takes energy to push charges of the same sign together on each plate. However, we can also think of this energy as being stored in the electric field created between the plates. 3. Consider a air-filled parallel plate capacitor with plates of area A and gap width H. There is a voltage difference AVC between the plates. For a parallel plate capacitor the capacitance is a. UE = CAV² C = € A H UE = UE/Volume = H and AVC = EH. Substitute these the expressions for C and AVC into the expression for the energy stored in the capacitor to write the energy in terms of the electric field E. de vioolavad A Ë b. Divide your expression by the volume AH of the capacitor to write the electric energy density in terms fo the electric field E. IW dans er h nounsson AVC

University Physics Volume 2
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Chapter7: Electric Potential
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Energy Stored in Electric Fields: The energy stored in a capacitor is
UE =
CAVC²
We can understand this since it takes energy to push charges of the same
sign together on each plate. However, we can also think of this energy as
being stored in the electric field created between the plates.
3. Consider a air-filled parallel plate capacitor with plates of area A and
gap width H. There is a voltage difference AVC between the plates. For
a parallel plate capacitor the capacitance is
UE ==CAV² =
C =
€ A
H
UE = UE/Volume =
H
and AVC = EH.
a. Substitute these the expressions for C and AVC into the expression for the energy stored in the capacitor to write
the energy in terms of the electric field E.
de vioolav
A
Ē
b. Divide your expression by the volume AH of the capacitor to write the electric energy density in terms fo the
electric field E.
year
AVC
Transcribed Image Text:Energy Stored in Electric Fields: The energy stored in a capacitor is UE = CAVC² We can understand this since it takes energy to push charges of the same sign together on each plate. However, we can also think of this energy as being stored in the electric field created between the plates. 3. Consider a air-filled parallel plate capacitor with plates of area A and gap width H. There is a voltage difference AVC between the plates. For a parallel plate capacitor the capacitance is UE ==CAV² = C = € A H UE = UE/Volume = H and AVC = EH. a. Substitute these the expressions for C and AVC into the expression for the energy stored in the capacitor to write the energy in terms of the electric field E. de vioolav A Ē b. Divide your expression by the volume AH of the capacitor to write the electric energy density in terms fo the electric field E. year AVC
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OpenStax