Add measurements from Tasks 3A & 4A

Signed-off-by: Warrick Lo <warrick.s.z.lo@gmail.com>

1 files changed, 228 insertions, 39 deletions

diff --git a/master.tex b/master.tex
index bf646dc..3a79ddf 100644
--- a/master.tex
+++ b/master.tex
@@ -286,10 +286,10 @@ and thus,
 		\end{align}
 	\item \textbf{Can either $I_2$ and/or $I_3$ have a magnitude larger than the
 		magnitude of $I_1$? Explain.} \\
-		Yes, if the resistor current is small enough, or equally if both inductor and capacitor
-		currents are large enough. We can see this in \eqref{eq:1c}; the reactive components'
-		currents ``nearly cancel'' each other out, giving only a small increase to $I_1$,
-		but they can each be larger than $I_1$ individually.
+		Yes, if the resistor current is small enough, or equally if both inductor and
+		capacitor currents are large enough. We can see this in equation \eqref{eq:1c};
+		the reactive components' currents ``nearly cancel'' each other out, giving only
+		a small increase to $I_1$, but they can each be larger than $I_1$ individually.
 \end{itemize}
 
 \section*{Task 1D. Series Connection of RLC Components}
@@ -342,10 +342,10 @@ and thus,
 		\end{align}
 	\item \textbf{Can either $V_2$ and/or $V_3$ have a magnitude larger than the
 		magnitude of $V_1$? Explain.} \\
-		Yes, if the resistor voltage is small enough, or equally if both inductor and capacitor
-		voltages are large enough. Similar to Task 1C, we can see how according to equation
-		\eqref{eq:1d}, the reactive components' voltages ``nearly cancel'' each other out,
-		which allows $V_2$ and $V_3$ to be each larger than $V_1$ individually.
+		Yes, if the resistor voltage is small enough, or equally if both inductor and
+		capacitor voltages are large enough. Similar to Task 1C, we can see how according to
+		equation \eqref{eq:1d}, the reactive components' voltages ``nearly cancel'' each
+		other out, which allows $V_2$ and $V_3$ to be each larger than $V_1$ individually.
 	\item \textbf{Support your answer with the phasor diagram corresponding to the
 		measurement Task 1D, step 5.} \\
 		See figure \ref{fig:1d:pha}.
@@ -584,6 +584,115 @@ and thus,
 		given by $P = V_\text{line} I_\text{phase} \cos\phi$, negative.
 \end{itemize}
 
+\phantomsection
+\addcontentsline{toc}{subsection}{Task 3}
+\section*{Task 3A. Single-Phase Full-Wave Rectifier}
+
+\begin{table}[H]
+\begin{adjustwidth}{-15mm}{-15mm}
+	\centering
+	\begin{tabular}{*{9}{c}}
+		\toprule
+		& $V_\text{1(RMS)}$ (\si{\V}) & $I_\text{1(RMS)}$ (\si{\A})
+			& $P_\text{1(in)}$ (\si{\W}) & $V_\text{3(RMS)}$ (\si{\V})
+			& $V_\text{3(PP)}$ (\si{\V}) & $I_\text{3(RMS)}$ (\si{\A})
+			& $I_\text{3(PP)}$ (\si{\A}) & $P_\text{3(out)}$ (\si{\W}) \\
+		\midrule
+		No load & 15.05 $\angle$ -1.7 & 0.08 $\angle$ 36.2 & 0.8
+			& 14.19 $\angle$ -93.8 &
+			& 0.11 $\angle$ -224.5 && 1.0 \\
+		Light load & 14.87 $\angle$ -1.8 & 0.84 $\angle$ -2.4 & 12.5
+			& 13.34 $\angle$ -93.9 &
+			& 0.88 $\angle$ -96.2 && 11.7 \\
+		Heavy load & 14.77 $\angle$ -1.8 & 1.50 $\angle$ -2.0 & 22.0
+			& 13.09 $\angle$ -94.1 &
+			& 1.53 $\angle$ -95.6 && 19.9 \\
+		\bottomrule
+	\end{tabular}
+	\caption[Single-phase full-wave rectifier, without a capacitor filter]
+		{Single-phase full-wave rectifier, without a capacitor filter.}
+	\label{tab:3a}
+\end{adjustwidth}
+\end{table}
+
+\begin{table}[H]
+\begin{adjustwidth}{-15mm}{-15mm}
+	\centering
+	\begin{tabular}{*{10}{c}}
+		\toprule
+		& $V_\text{1(RMS)}$ (\si{\V}) & $I_\text{1(RMS)}$ (\si{\A})
+			& $I_\text{1(PP)}$ (\si{\A}) & $P_\text{1(in)}$ (\si{\W})
+			& $V_\text{3(RMS)}$ (\si{\V}) & $V_\text{3(PP)}$ (\si{\V})
+			& $I_\text{3(RMS)}$ (\si{\A}) & $I_\text{3(PP)}$ (\si{\A})
+			& $P_\text{3(out)}$ (\si{\W}) \\
+		\midrule
+		No load & 15.04 $\angle$ -1.7 & 0.34 $\angle$ -8.6 && 2.2
+			& 19.90 $\angle$ -176.3 &
+			& 0.17 $\angle$ 13.1 && 2.8 \\
+		Light load & 14.73 $\angle$ -1.8 & 2.5 $\angle$ -3.9 && 24.8
+			& 17.73 $\angle$ -165.8 &
+			& 1.23 $\angle$ 203.1 && 21.7 \\
+		Heavy load & 14.54 $\angle$ -2.1 & 3.80 $\angle$ -2.3 && 39.4
+			& 16.73 $\angle$ -161.9 &
+			& 2.01 $\angle$ -159.5 && 33.6 \\
+		\bottomrule
+	\end{tabular}
+	\caption[Single-phase full-wave rectifier, with a capacitor filter]
+		{Single-phase full-wave rectifier, with a capacitor filter.}
+	\label{tab:3b}
+\end{adjustwidth}
+\end{table}
+
+\phantomsection
+\addcontentsline{toc}{subsection}{Task 4}
+\section*{Task 4A. Three-Phase Full-Wave Rectifier}
+
+\begin{table}[H]
+	\centering
+	\begin{tabular}{*{7}{c}}
+		\toprule
+		& $I_\text{1(RMS)}$ (\si{\A}) & $V_\text{2(RMS)}$ (\si{\V})
+			& $V_\text{2(PP)}$ (\si{\V}) & $I_\text{2(RMS)}$ (\si{\A})
+			& $I_\text{2(PP)}$ (\si{\A}) & $P_\text{3(out)}$ (\si{\W}) \\
+		\midrule
+		No load & 0.09 $\angle$ 33.3 & 12.18 $\angle$ -62.2 &
+			& 0.16 $\angle$ -148.3 && 1.5 \\
+		Light load & 0.65 $\angle$ 33.3 & 11.99 $\angle$ -50.1 &
+			& 0.86 $\angle$ -36.7 && 9.9 \\
+		Heavy load & 1.10 $\angle$ 34.2 & 11.86 $\angle$ -40.6 &
+			& 1.43 $\angle$ -32.2 && 16.2 \\
+		\bottomrule
+	\end{tabular}
+	\caption[Three-phase full-wave rectifier, without a capacitor filter]
+		{Three-phase full-wave rectifier, without a capacitor filter.}
+	\label{tab:4a}
+\end{table}
+
+\begin{table}[H]
+\begin{adjustwidth}{-15mm}{-15mm}
+	\centering
+	\begin{tabular}{*{10}{c}}
+		\toprule
+		& $I_\text{1(RMS)}$ (\si{\A}) & $I_\text{1(PP)}$ (\si{\A})
+			& $I_\text{2(RMS)}$ (\si{\A}) & $I_\text{2(PP)}$ (\si{\A})
+			& $V_\text{3(RMS)}$ (\si{\V}) & $V_\text{3(PP)}$ (\si{\V})
+			& $I_\text{3(RMS)}$ (\si{\A}) & $I_\text{3(PP)}$ (\si{\A})
+			& $P_\text{3(out)}$ (\si{\W}) \\
+		\midrule
+		No load & 0.08 $\angle$ 22.4 && 0.20 $\angle$ -31.0 &
+			& 12.58 $\angle$ -236.0 && 0.12 $\angle$ -218.5 && 1.6 \\
+		Light load & 0.70 $\angle$ 28.6 && 1.02 $\angle$ -54.3 &
+			& 11.91 $\angle$ -95.9 && 0.83 $\angle$ 96.0 && 10.0 \\
+		Heavy load & 1.17 $\angle$ 29.0 && 1.73 $\angle$ -54.4 &
+			& 11.63 $\angle$ -96.0 && 1.40 $\angle$ -183.2 && 16.3 \\
+		\bottomrule
+	\end{tabular}
+	\caption[Three-phase full-wave rectifier, with a capacitor filter]
+		{Three-phase full-wave rectifier, with a capacitor filter.}
+	\label{tab:4b}
+\end{adjustwidth}
+\end{table}
+
 \newpage
 
 \appendix
@@ -638,7 +747,7 @@ and thus,
 \begin{figure}[H]
 	\centering
 	\includegraphics[width=0.75\linewidth]{images/1a-phasor.png}
-	\caption[Phasor measurements for the RL load box with three inductors (Task 1A)]
+	\caption[Phasor measurements for the RL load box with three inductors]
 		{Phasor measurements for the RL load box with three inductors (Task 1A).}
 	\label{fig:1a}
 \end{figure}
@@ -646,7 +755,7 @@ and thus,
 \begin{figure}[H]
 	\centering
 	\includegraphics[width=0.75\linewidth]{images/1b-phasor.png}
-	\caption[Phasor measurements for the RC load box with three capacitors (Task 1B)]
+	\caption[Phasor measurements for the RC load box with three capacitors]
 		{Phasor measurements for the RC load box with three capacitors (Task 1B).}
 	\label{fig:1b}
 \end{figure}
@@ -667,15 +776,15 @@ and thus,
 	\begin{subfigure}{0.45\linewidth}
 		\includegraphics[width=\linewidth]{images/1c-3-wave.png}
 		\caption{Waveform of circuit with one resistor,
-			one inductor, and three capacitors.}
+			one inductor, \\ and three capacitors.}
 	\end{subfigure}
 	\hfill
 	\begin{subfigure}{0.45\linewidth}
 		\includegraphics[width=\linewidth]{images/1c-3-phasor.png}
 		\caption{Phasor view of circuit with one resistor,
-			one inductor, and three capacitors.}
+			one inductor, \\ and three capacitors.}
 	\end{subfigure}
-	\caption[Measurements of parallel connections of RLC components (Task 1C)]
+	\caption[Measurements of parallel connections of RLC components]
 		{Measurements of parallel connections of RLC components (Task 1C).}
 	\label{fig:1c}
 \end{figure}
@@ -684,15 +793,15 @@ and thus,
 	\begin{subfigure}{0.45\linewidth}
 		\includegraphics[width=\linewidth]{images/1d-1-wave.png}
 		\caption{Waveform of circuit with one resistor,
-			one inductor, and one capacitor.}
+			one inductor, \\ and one capacitor.}
 	\end{subfigure}
 	\hfill
 	\begin{subfigure}{0.45\linewidth}
 		\includegraphics[width=\linewidth]{images/1d-2-wave.png}
 		\caption{Waveform of circuit with one resistor,
-			one inductor, and three capacitors.}
+			one inductor, \\ and three capacitors.}
 	\end{subfigure}
-	\caption[Measurements of series connections of RLC components (Task 1D)]
+	\caption[Measurements of series connections of RLC components]
 		{Measurements of series connections of RLC components (Task 1D).}
 	\label{fig:1d}
 \end{figure}
@@ -704,13 +813,13 @@ and thus,
 	\begin{subfigure}{0.45\linewidth}
 		\includegraphics[width=\linewidth]{images/1d-3-wave.png}
 		\caption{Waveform of circuit with three resistors,
-			one inductor, and three capacitors.}
+			one inductor, \\ and three capacitors.}
 	\end{subfigure}
 	\hfill
 	\begin{subfigure}{0.45\linewidth}
 		\includegraphics[width=\linewidth]{images/1d-3-phasor.png}
 		\caption{Phasor view of circuit with three resistors,
-			one inductor, and three capacitors.}
+			one inductor, \\ and three capacitors.}
 	\end{subfigure}
 	\captionsetup{list=no}
 	\caption{Measurements of series connections of RLC components (Task 1D).}
@@ -720,29 +829,29 @@ and thus,
 \begin{figure}[H]
 	\begin{subfigure}{0.45\linewidth}
 		\includegraphics[width=\linewidth]{images/2a-1-wave.png}
-		\caption{Waveform of circuit with RL balanced load, neutrals disconnected.}
+		\caption{Waveform of circuit with RL balanced load, \\ neutrals disconnected.}
 	\end{subfigure}
 	\hfill
 	\begin{subfigure}{0.45\linewidth}
 		\includegraphics[width=\linewidth]{images/2a-1-phasor.png}
-		\caption{Phasor view of circuit with RL balanced load, neutrals disconnected.}
+		\caption{Phasor view of circuit with RL balanced load, \\ neutrals disconnected.}
 	\end{subfigure}
 
 	\medskip
 
 	\begin{subfigure}{0.45\linewidth}
 		\includegraphics[width=\linewidth]{images/2a-2-wave.png}
-		\caption{Waveform of circuit with RL unbalanced load,
+		\caption{Waveform of circuit with RL unbalanced load, \\
 			shorted resistor, neutrals disconnected.}
 	\end{subfigure}
 	\hfill
 	\begin{subfigure}{0.45\linewidth}
 		\includegraphics[width=\linewidth]{images/2a-2-phasor.png}
-		\caption{Phasor view of circuit with RL unbalanced load,
+		\caption{Phasor view of circuit with RL unbalanced load, \\
 			shorted resistor, neutrals disconnected.}
 	\end{subfigure}
 
-	\caption[Three-phase measurements with wye-connected RL load box (Task 2A)]
+	\caption[Three-phase measurements with wye-connected RL load box]
 		{Three-phase measurements with wye-connected RL load box (Task 2A).}
 	\label{fig:2a}
 \end{figure}
@@ -753,13 +862,13 @@ and thus,
 	\ContinuedFloat
 	\begin{subfigure}{0.45\linewidth}
 		\includegraphics[width=\linewidth]{images/2a-3-wave.png}
-		\caption{Waveform of circuit with RL unbalanced load,
+		\caption{Waveform of circuit with RL unbalanced load, \\
 			shorted inductor, neutrals disconnected.}
 	\end{subfigure}
 	\hfill
 	\begin{subfigure}{0.45\linewidth}
 		\includegraphics[width=\linewidth]{images/2a-3-phasor.png}
-		\caption{Phasor view of circuit with RL unbalanced load,
+		\caption{Phasor view of circuit with RL unbalanced load, \\
 			shorted inductor, neutrals disconnected.}
 	\end{subfigure}
 
@@ -767,13 +876,13 @@ and thus,
 
 	\begin{subfigure}{0.45\linewidth}
 		\includegraphics[width=\linewidth]{images/2a-4-wave.png}
-		\caption{Waveform of circuit with RL unbalanced load,
+		\caption{Waveform of circuit with RL unbalanced load, \\
 			shorted resistor, neutrals connected.}
 	\end{subfigure}
 	\hfill
 	\begin{subfigure}{0.45\linewidth}
 		\includegraphics[width=\linewidth]{images/2a-4-phasor.png}
-		\caption{Phasor view of circuit with RL unbalanced load,
+		\caption{Phasor view of circuit with RL unbalanced load, \\
 			shorted resistor, neutrals connected.}
 	\end{subfigure}
 
@@ -781,13 +890,13 @@ and thus,
 
 	\begin{subfigure}{0.45\linewidth}
 		\includegraphics[width=\linewidth]{images/2a-5-wave.png}
-		\caption{Waveform of circuit with RL unbalanced load,
+		\caption{Waveform of circuit with RL unbalanced load, \\
 			shorted inductor, neutrals connected.}
 	\end{subfigure}
 	\hfill
 	\begin{subfigure}{0.45\linewidth}
 		\includegraphics[width=\linewidth]{images/2a-5-phasor.png}
-		\caption{Phasor view of circuit with RL unbalanced load,
+		\caption{Phasor view of circuit with RL unbalanced load, \\
 			shorted inductor, neutrals connected.}
 	\end{subfigure}
 
@@ -811,27 +920,27 @@ and thus,
 
 	\begin{subfigure}{0.45\linewidth}
 		\includegraphics[width=\linewidth]{images/2b-2-wave.png}
-		\caption{Waveform of circuit with RL unbalanced load, shorted resistor.}
+		\caption{Waveform of circuit with RL unbalanced load, \\ shorted resistor.}
 	\end{subfigure}
 	\hfill
 	\begin{subfigure}{0.45\linewidth}
 		\includegraphics[width=\linewidth]{images/2b-2-phasor.png}
-		\caption{Phasor view of circuit with RL unbalanced load, shorted resistor.}
+		\caption{Phasor view of circuit with RL unbalanced load, \\ shorted resistor.}
 	\end{subfigure}
 
 	\medskip
 
 	\begin{subfigure}{0.45\linewidth}
 		\includegraphics[width=\linewidth]{images/2b-3-wave.png}
-		\caption{Waveform of circuit with RL unbalanced load, shorted inductor.}
+		\caption{Waveform of circuit with RL unbalanced load, \\ shorted inductor.}
 	\end{subfigure}
 	\hfill
 	\begin{subfigure}{0.45\linewidth}
 		\includegraphics[width=\linewidth]{images/2b-3-phasor.png}
-		\caption{Phasor view of circuit with RL unbalanced load, shorted inductor.}
+		\caption{Phasor view of circuit with RL unbalanced load, \\ shorted inductor.}
 	\end{subfigure}
 
-	\caption[Three-phase measurements with delta-connected RL load box (Task 2B)]
+	\caption[Three-phase measurements with delta-connected RL load box]
 		{Three-phase measurements with delta-connected RL load box (Task 2B).}
 	\label{fig:2b}
 \end{figure}
@@ -851,29 +960,109 @@ and thus,
 
 	\begin{subfigure}{0.45\linewidth}
 		\includegraphics[width=\linewidth]{images/2c-2-wave.png}
-		\caption{Waveform of circuit with RL unbalanced load, shorted resistor.}
+		\caption{Waveform of circuit with RL unbalanced load, \\ shorted resistor.}
 	\end{subfigure}
 	\hfill
 	\begin{subfigure}{0.45\linewidth}
 		\includegraphics[width=\linewidth]{images/2c-2-phasor.png}
-		\caption{Phasor view of circuit with RL unbalanced load, shorted resistor.}
+		\caption{Phasor view of circuit with RL unbalanced load, \\ shorted resistor.}
 	\end{subfigure}
 
 	\medskip
 
 	\begin{subfigure}{0.45\linewidth}
 		\includegraphics[width=\linewidth]{images/2c-3-wave.png}
-		\caption{Waveform of circuit with RL unbalanced load, shorted inductor.}
+		\caption{Waveform of circuit with RL unbalanced load, \\ shorted inductor.}
 	\end{subfigure}
 	\hfill
 	\begin{subfigure}{0.45\linewidth}
 		\includegraphics[width=\linewidth]{images/2c-3-phasor.png}
-		\caption{Phasor view of circuit with RL unbalanced load, shorted inductor.}
+		\caption{Phasor view of circuit with RL unbalanced load, \\ shorted inductor.}
 	\end{subfigure}
 
-	\caption[Two-wattmeter measurements with delta-connected RL load box (Task 2C)]
+	\caption[Two-wattmeter measurements with delta-connected RL load box]
 		{Two-wattmeter measurements with delta-connected RL load box (Task 2C).}
 	\label{fig:2c}
 \end{figure}
 
+\begin{figure}
+	\begin{subfigure}{0.45\linewidth}
+		\includegraphics[width=\linewidth]{images/3a-1-wave.png}
+		\caption{Waveform of circuit without a capacitor filter \\ under no load.}
+	\end{subfigure}
+	\hfill
+	\begin{subfigure}{0.45\linewidth}
+		\includegraphics[width=\linewidth]{images/3a-2-wave.png}
+		\caption{Waveform of circuit without a capacitor filter \\ under half load.}
+	\end{subfigure}
+
+	\medskip
+
+	\begin{subfigure}{0.45\linewidth}
+		\includegraphics[width=\linewidth]{images/3a-3-wave.png}
+		\caption{Waveform of circuit without a capacitor filter \\ under full load.}
+	\end{subfigure}
+	\hfill
+	\begin{subfigure}{0.45\linewidth}
+		\includegraphics[width=\linewidth]{images/3b-1-wave.png}
+		\caption{Waveform of circuit with a capacitor filter \\ under no load.}
+	\end{subfigure}
+
+	\medskip
+
+	\begin{subfigure}{0.45\linewidth}
+		\includegraphics[width=\linewidth]{images/3b-2-wave.png}
+		\caption{Waveform of circuit with a capacitor filter \\ under half load.}
+	\end{subfigure}
+	\hfill
+	\begin{subfigure}{0.45\linewidth}
+		\includegraphics[width=\linewidth]{images/3b-3-wave.png}
+		\caption{Waveform of circuit with a capacitor filter \\ under full load.}
+	\end{subfigure}
+
+	\caption[Single-phase full-wave rectifier, without and with capacitor filter]
+		{Single-phase full-wave rectifier, without and with capacitor filter (Task 3A).}
+	\label{fig:3a}
+\end{figure}
+
+\begin{figure}
+	\begin{subfigure}{0.45\linewidth}
+		\includegraphics[width=\linewidth]{images/4a-1-wave.png}
+		\caption{Waveform of circuit without a capacitor filter \\ under no load.}
+	\end{subfigure}
+	\hfill
+	\begin{subfigure}{0.45\linewidth}
+		\includegraphics[width=\linewidth]{images/4a-2-wave.png}
+		\caption{Waveform of circuit without a capacitor filter \\ under half load.}
+	\end{subfigure}
+
+	\medskip
+
+	\begin{subfigure}{0.45\linewidth}
+		\includegraphics[width=\linewidth]{images/4a-3-wave.png}
+		\caption{Waveform of circuit without a capacitor filter \\ under full load.}
+	\end{subfigure}
+	\hfill
+	\begin{subfigure}{0.45\linewidth}
+		\includegraphics[width=\linewidth]{images/4b-1-wave.png}
+		\caption{Waveform of circuit with a capacitor filter \\ under no load.}
+	\end{subfigure}
+
+	\medskip
+
+	\begin{subfigure}{0.45\linewidth}
+		\includegraphics[width=\linewidth]{images/4b-2-wave.png}
+		\caption{Waveform of circuit with a capacitor filter \\ under half load.}
+	\end{subfigure}
+	\hfill
+	\begin{subfigure}{0.45\linewidth}
+		\includegraphics[width=\linewidth]{images/4b-3-wave.png}
+		\caption{Waveform of circuit with a capacitor filter \\ under full load.}
+	\end{subfigure}
+
+	\caption[Three-phase full-wave rectifier, without and with capacitor filter]
+		{Three-phase full-wave rectifier, without and with capacitor filter (Task 4A).}
+	\label{fig:4a}
+\end{figure}
+
 \end{document}