PreLab – Capacitors 2 Name:
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Q = C V |
E = ∆V / ∆x |
where
epsilon “naught” (8.854 x 10-12 F/m) is defined as
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E =
k Q / r2 |
E = F
/ q |
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E =
1/4πε0 Q / r2 |
F = k Q q / r2 |
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Our
lab manual demonstrated a classic derivation, please review equations 1 to 5. |
Please
don’t confuse with mu “naught" (μ0
= 4π x 10-7 H/m; H/m = N/A2) ·
permeability
of free space ·
magnetic
constant
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At
the surface of sphere the E = Q / (ε0 4πr2) E
= Q / A ε0
_________ |
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And
the potential on the sphere is related to the electric field by V(∞) – V (R) 0
- ∫ E ∙ dl 0
- ∫ Q / ε0
4πr2 ∙ dr V
= Q / ε0 4πR Where
Q = C V C
= 4πε0R C
= 4πε0R (R/R) C =
A ε0
/ d (dist “d” is
distance from center) Cint-theory
= A ε0 / d |
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3. Why do you hold the GND
connection located on the electrometer? a. To keep from being “shocked” b. To
protect the capacitors from static
buildup c. To eliminate coupling to other nearby charged sources d. All of the above 4. Calculate your
theoretical internal capacitance of parallel plate capacitor of dimensions 18
cm diameter with distance between plates of 10 mm |
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Graph
the data from part B Using
the slope determined from Part B graph (to the right) and the theoretical
value of capacitance from #4; calculate the internal resistance of your
electrometer. |
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Figure 6-3
ln V(t) = -(1/RC) t + ln Vmax y = m
x + b |
Volt |
Time (sec) |
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55 |
15 |
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50 |
73 |
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45 |
139 |
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40 |
211 |
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35 |
295 |
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