Update 2022-02-10 08:34
This commit is contained in:
+10
-5
@@ -1,7 +1,7 @@
|
||||
<!DOCTYPE html>
|
||||
<html lang="en">
|
||||
<head>
|
||||
<!-- 2022-02-09 Wed 22:40 -->
|
||||
<!-- 2022-02-10 Thu 08:32 -->
|
||||
<meta charset="utf-8">
|
||||
<meta name="viewport" content="width=device-width, initial-scale=1">
|
||||
<title>Pre-Quantum Electrodynamics</title>
|
||||
@@ -1619,7 +1619,7 @@ C \equiv \frac{Q}{V}
|
||||
\]
|
||||
</p>
|
||||
|
||||
<div class="example div" id="org7df55cc">
|
||||
<div class="example div" id="org2b3b274">
|
||||
<p>
|
||||
<b>Concentric shells</b>
|
||||
</p>
|
||||
@@ -1631,14 +1631,19 @@ What is the capacitance of this system?
|
||||
|
||||
<p>
|
||||
\[
|
||||
V = -\int_b^a {\bf E} \cdot d{\bf l} = \frac{Q}{4\pi \varepsilon_0} (\frac{1}{a} - \frac{1}{b}), \rightarrow
|
||||
V = -\int_b^a {\bf E} \cdot d{\bf l} = \frac{Q}{4\pi \varepsilon_0} (\frac{1}{a} - \frac{1}{b}),
|
||||
\]
|
||||
so
|
||||
\[
|
||||
C = \frac{Q}{V} = 4\pi \varepsilon_0 \frac{ab}{b - a}.
|
||||
\]
|
||||
</p>
|
||||
|
||||
</div>
|
||||
<p>
|
||||
Work to charge up capacitor: \(dW = \frac{q}{C} dq\). Integrating,
|
||||
Work to charge up capacitor:
|
||||
start from the differential work to add charge \(dq\) to the already-present charge \(q\):
|
||||
\(dW = \frac{q}{C} dq\). Integrating,
|
||||
</p>
|
||||
|
||||
<p>
|
||||
@@ -1664,7 +1669,7 @@ target="_blank">Creative Commons Attribution 4.0 International License</a>.
|
||||
</div>
|
||||
<div id="postamble" class="status">
|
||||
<p class="author">Author: Jean-Sébastien Caux</p>
|
||||
<p class="date">Created: 2022-02-09 Wed 22:40</p>
|
||||
<p class="date">Created: 2022-02-10 Thu 08:32</p>
|
||||
<p class="validation"></p>
|
||||
</div>
|
||||
|
||||
|
||||
Reference in New Issue
Block a user