Use the equation u = 1/2 *ε0*E2 , to determine ε0 using the slope, compare this value of ε0 with ε0 =8.85x10-12 F/m, the calculate the percentage error.

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Slope: 441.4

Use the equation = 1/2 *ε0*E2 , to determine ε0 using the slope, compare this value of ε0 with ε0 =8.85x10-12 F/m, the calculate the percentage error. 

Separation d (_10__ m) Plate Area A (_
_100
m?) Capacitance C,=(ɛ,*A)/d__9.0x10^14_F)
Trial
Potential
Charge
Stored
Electric Field
v2
Q?
E?
Stored energy
difference Q (C)
V (V)
Energy
between
U ()
(Volt)? | (C?)
(V/m)² |
Density u(J/m3)
u=U/(Ad)
plates E (V/m)
U= 1/2•€0•E4
*
1
-1.5
1.3x10-
1.0x10-
-.15
-2.25
1.69x1
-.0225
-9.9x10-14
13
13
0-26
2
-1.3
1.2x10-
7.0x10-
-.13
-1.69
1.44x1
-.0169
-7.5x10-14
13
14
0-26
3
-1.0
9.0x10-
4.0x10-
-.10
-1.0
8.1x10
-.001
-4.4x10-15
14
14
-27
4
-0.7
6.0x10-
2.0х10-
-.07
-0.49
3.6х10
-.0049
-2.2x10-14
14
14
-27
-0.4
4.0x10-
1.0x10-
-.04
-0.16
1.6x10| -.0016
-7.08x10-15
14
14
-27
.04
4.0x10-
1.0x10-
.04
0.16
1.6x10
.0016
7.08х10-15
14
14
-27
.07
6.0x10-
2.0x10-
.07
0.49
3.6х10
.0049
2.2x10-14
14
14
-27
8
1.0
9.0x10-
4.0x10-
.10
1.0
8.1.0x
.001
4.4x10-15
14
14
10-27
1.3
1.2x10-
7.0x10-
.13
1.69
1.44x1
.0169
7.5x10-14
13
14
0-26
10
1.5
1.3x10-
1.0x10-
.15
2.25
1.69x1
.0225
9.9x10-14
13
13
0-26
Transcribed Image Text:Separation d (_10__ m) Plate Area A (_ _100 m?) Capacitance C,=(ɛ,*A)/d__9.0x10^14_F) Trial Potential Charge Stored Electric Field v2 Q? E? Stored energy difference Q (C) V (V) Energy between U () (Volt)? | (C?) (V/m)² | Density u(J/m3) u=U/(Ad) plates E (V/m) U= 1/2•€0•E4 * 1 -1.5 1.3x10- 1.0x10- -.15 -2.25 1.69x1 -.0225 -9.9x10-14 13 13 0-26 2 -1.3 1.2x10- 7.0x10- -.13 -1.69 1.44x1 -.0169 -7.5x10-14 13 14 0-26 3 -1.0 9.0x10- 4.0x10- -.10 -1.0 8.1x10 -.001 -4.4x10-15 14 14 -27 4 -0.7 6.0x10- 2.0х10- -.07 -0.49 3.6х10 -.0049 -2.2x10-14 14 14 -27 -0.4 4.0x10- 1.0x10- -.04 -0.16 1.6x10| -.0016 -7.08x10-15 14 14 -27 .04 4.0x10- 1.0x10- .04 0.16 1.6x10 .0016 7.08х10-15 14 14 -27 .07 6.0x10- 2.0x10- .07 0.49 3.6х10 .0049 2.2x10-14 14 14 -27 8 1.0 9.0x10- 4.0x10- .10 1.0 8.1.0x .001 4.4x10-15 14 14 10-27 1.3 1.2x10- 7.0x10- .13 1.69 1.44x1 .0169 7.5x10-14 13 14 0-26 10 1.5 1.3x10- 1.0x10- .15 2.25 1.69x1 .0225 9.9x10-14 13 13 0-26
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