N2007 P1 Q4
N2007 P1 Q4
7 marks
Past Year National Exams
Free
The current \(I\) in an electric circuit at time \(t\) satisfies the differential equation
\(4\frac{\mathrm{d}I}{\mathrm{d}t}=2-3I\).
Find \(I\) in terms of \(t\), given that \(I=2\) when \(t=0\).[6]
State what happens to the current in this circuit for large values of \(t\).[1]
Video Solution:
Default solution
Timothy Gan
Answer:\({I=\frac{2}{3}+\frac{4}{3}\mathrm{e}^{-\frac{3}{4}t}}\) ; \({I}\) will tend to \({\frac{2}{3}}\)
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