\text{date of defense and thesis submission}
\text{Jury validated version}
\text{version modified by author}
\text{Nice and easy $\frac{\text{stand}}{2}$}
\text{500 K}
\text{400 K}
|W|
|Q_H|=540\hspace{1mm} J
|Q_L|=400\hspace{1mm} J
|Q_H|=500\hspace{1mm} J
|W|=120\hspace{1mm}J
|W|
|Q_H|
|Q_L|
|Q_L|
\text{Engine } 1
\text{Engine } 2
\text{Engine } 3
+
-
C_3
C_2=12\hspace{1mm}\mu F
C_1=4.0\hspace{1mm}\mu F
C_3=2.0 \hspace{1mm}\mu F
C_1
C_2
\begin{aligned}
&\mathrm{C}_{\mathrm{f}}=\kappa \mathrm{C}_{\mathrm{i}}=6.5 \times 13.5=87.75 \mathrm{pF}\\
&\text { Charge is conserved: } Q=C_i V_i=13.5 \times 12.5=168.75 p C\\
&U_f=\frac{Q^2}{2 C_{\mathrm{f}}}=\frac{\left(168.75 \times 10^{-12}\right)^2}{2 \times 87.75 \times 10^{-12}}=1.62 \times 10^{-10} J=162 \times 10^{-12} J=162 \mathrm{pJ}
\end{aligned}