Solved Problem on Electric Current
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Given the graph, the voltage applied to a resistor as a function of the current, calculate the
resistance and the current when the potential difference is equal to 100.0 V.
Solution
The resistance will be given by the tangent of the angle between the current axis and the curve
in the graph, angle θ in the Graph 1.
\[ \bbox[#99CCFF,10px]
{R=\tan \theta =\frac{\text{apposite side}}{\text{adjacent side}}=\frac{U}{i}}
\]
\[
R=\frac{10}{2}
\]
\[ \bbox[#FFCCCC,10px]
{R=5\;\Omega }
\]
Using Ohm's Law, we have
\[ \bbox[#99CCFF,10px]
{U=Ri}
\]
\[
\begin{gather}
i=\frac{U}{R}\\
i=\frac{100.0}{5}
\end{gather}
\]
\[ \bbox[#FFCCCC,10px]
{i=20\;\text{A}}
\]
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