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Author SHA1 Message Date
Stephan I. Böttcher
463f2fa570 Merge branch 'master' of blaulicht:eda/hvosc 2024-02-10 01:00:02 +01:00
Stephan I. Böttcher
bddf256ee5 U_out formating fix 2024-02-10 00:59:41 +01:00
1 changed files with 4 additions and 4 deletions
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8
hvosc.tex
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@ -17,11 +17,13 @@
\begin{document} \begin{document}
\maketitle \maketitle
\def\Uout{U_{\mathrm{OUT}}}
\section{Design goals} \section{Design goals}
For the dynodes supply of a \emph{Photoelectron Multiplier Tube} we For the dynodes supply of a \emph{Photoelectron Multiplier Tube} we
need a sinus function voltage with an amplitude of about need a sinus function voltage with an amplitude of about
$U_{\mathrm{OUT}}=50\units s$ to drive a Cockcroft–Walton cascade. $\Uout=50\units s$ to drive a Cockcroft–Walton cascade.
In the output terminal shall be a capacitor $C_2 \ge 100\units{pF}$ to In the output terminal shall be a capacitor $C_2 \ge 100\units{pF}$ to
account for capacitive loads. account for capacitive loads.
@ -54,8 +56,6 @@ very little input power.
\section{Resonator solution} \section{Resonator solution}
\def\Uout{U_{\mathrm{OUT}}}
The circuit description is The circuit description is
\begin{eqnarray} \begin{eqnarray}
\label{eq:GS} \label{eq:GS}
@ -64,7 +64,7 @@ The circuit description is
U_2 &=& A_L n_2 \dot\Phi, \\ U_2 &=& A_L n_2 \dot\Phi, \\
U_3 &=& A_L n_3^2 \dot I_2, \\ U_3 &=& A_L n_3^2 \dot I_2, \\
I_1 &=& -C_1 \dot U_1, \\ I_1 &=& -C_1 \dot U_1, \\
I_2 &=& -C_2 \dot Uout, \\ I_2 &=& -C_2 \dot \Uout, \\
Uout &=& U_2 + U_3, \\ Uout &=& U_2 + U_3, \\
L_i &=& A_L n_i^2. L_i &=& A_L n_i^2.
\end{eqnarray} \end{eqnarray}