Difference between revisions of "Ohm's Law"

From AstroBaki
Jump to navigationJump to search
Line 14: Line 14:
  
 
\section*{Ohm's Law}
 
\section*{Ohm's Law}
 +
\begin{equation}
 +
V=IR,
 +
\end{equation}
 +
where $V$ is voltage, measured in Volts ($V$), with typical values ranging from $mV$ (into an oscilloscope) to $kV$ (power lines, severe arcing danger); $I$ is current, measured in Amperes ($A$), typical values ranging from $mA$ (relatively safe for bench-top work) to $A$ (very dangerous); $R$ is resistance, measured in Ohms ($\Omega$), typical values ranging from $\Omega$ (power resistors dissipating a lot of power) to $M\Omega$ (almost a no-connect).
 +
 +
\section*{Resistor}
 +
 +
\begin{figure}
 +
\includegraphics[width=1in]{resistor.png}
 +
\caption{Symbol for a resistor in schematics}
 +
\end{figure}
 +
 +
\subsection*{Resistors in Series}
 +
Resistors in series add:
 +
 +
\begin{figure}
 +
\includegraphics[width=1in]{resistor_series.png}
 +
\caption{Resistors in series}
 +
\end{figure}
 +
 +
\begin{equation}
 +
R = R_1 + R_2 + \dots
 +
\end{equation}
 +
 +
\subsection*{Resistors in Parallel}
 +
Resistors in parallel add reciprocally:
 +
 +
\begin{figure}
 +
\includegraphics[width=1in]{resistor_parallel.png}
 +
\caption{Resistors in parallel}
 +
\end{figure}
 +
 +
\begin{equation}
 +
R = \frac1{\frac1{R_1} + \frac1{R_2} + \dots}
 +
\end{equation}
  
 
</latex>
 
</latex>

Revision as of 12:12, 28 August 2012

Short Topical Videos

Reference Material

  • Horowitz & Hill, The Art of Electronics, 2nd Ed., Ch. 1

Ohm’s Law

where is voltage, measured in Volts (), with typical values ranging from (into an oscilloscope) to (power lines, severe arcing danger); is current, measured in Amperes (), typical values ranging from (relatively safe for bench-top work) to (very dangerous); is resistance, measured in Ohms (), typical values ranging from (power resistors dissipating a lot of power) to (almost a no-connect).

Resistor

250px


Symbol for a resistor in schematics

Resistors in Series

Resistors in series add:

Resistor series.png


Resistors in series

Resistors in Parallel

Resistors in parallel add reciprocally:

Resistor parallel.png


Resistors in parallel