What is the energy density of the electric field ?

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SUMMARY

The energy density of the electric field between two large non-conducting plates with equal but opposite charges can be calculated using the formula U = 1/2 * ε * E². Given the surface area A = 0.25 m² and charge Q = 75 µC, the charge density is determined to be 75 x 10^-6 C / 0.25 m². The calculated energy density is 5084.75 J/m³, which can be expressed as 5.1 x 10³ J/m³. The formulas used for the calculations are confirmed to be correct.

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pr_angeleyes
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Two large non-conducting plates of surface area A = 0.25 m^2 carry equal but opposite charges Q = 75 uC. What is the energy density of the electric field between the two plates?


My attempt:

E=(charge density)/epsilon

And
U=1/2*epsilon*E^2

So
U=0.5(charge density)^2/epsilon

=0.5*(75*10^-6/0.25)^2/(8.85*10^-12)

=5084.75J/m^3 = 5.1 x 10^3 J/m^3

is this right?
 
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Your formulas look correct, can't say about the calculations.
 

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