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Part a and b Please.Polystyrene has dielectric constant 2.6 and dielectric strength 2.0×10^7 V/m. A piece of polystyrene is used as a dielectric in a parallel-plate capacitor, filling the volume between the plates.Part A When the electric field between the plates is 81 % of the dielectric strength, what is the energy density of the stored energy?Part B When the capacitor is connected to a battery with voltage 500.0 V, the electric field between the plates is 81 % of the dielectric strength. What is the area of each plate if the capacitor stores 0.20 mJ of energy under these conditions?

Question

Part a and b Please.

Polystyrene has dielectric constant 2.6 and dielectric strength 2.0×10^7 V/m. A piece of polystyrene is used as a dielectric in a parallel-plate capacitor, filling the volume between the plates.


Part A
When the electric field between the plates is 81 % of the dielectric strength, what is the energy density of the stored energy?


Part B
When the capacitor is connected to a battery with voltage 500.0
V, the electric field between the plates is 81 % of the dielectric strength. What is the area of each plate if the capacitor stores 0.20 mJ of energy under these conditions?

check_circleAnswer
Step 1

(Part A)

 

The electric field strength between the plates with 81% of dielectric strength can be calculated as,

E-(81%)(20x10 V/m
1.62x 10 V/m
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E-(81%)(20x10 V/m 1.62x 10 V/m

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Step 2

Write the expression for the energy density of the stored energy.

1
2
(8.85x102 F/m(1.62x10 V/m)
1
(8.85x1012 N/V2)(1.62x 10 V/m)
=11.612 x102 N/m°{ 1 J/m
1 N
11.612x 102 J/m3
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1 2 (8.85x102 F/m(1.62x10 V/m) 1 (8.85x1012 N/V2)(1.62x 10 V/m) =11.612 x102 N/m°{ 1 J/m 1 N 11.612x 102 J/m3

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Step 3

The energy density of the stored energy in polystyrene capacit...

T26 (2.6)
2.6 (11.612x10 J/m3
30.193x 102 J/m3
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T26 (2.6) 2.6 (11.612x10 J/m3 30.193x 102 J/m3

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