In this problem assume that current is linearly proportional to time. The intial condition at time 0 is 5A. At time 4 hours the current is 1A. What is the total charge that flows through this circuit?(adsbygoogle = window.adsbygoogle || []).push({});

[tex] t_0=0 [/tex]

[tex]i_0=5A [/tex]

[tex]t_f=14400s [/tex]

[tex]i_f=1A [/tex]

[tex] \frac{i_f-i_0}{t_f-t_0} =\frac{-4A}{14400} [/tex]

[tex] q=\int_{0}^{14400}(\frac{-1A}{3600}t+5)dt [/tex]

[tex]q= \left[\frac{-1}{7200}t^2+5t\right]_{0}^{14400} [/tex]

[tex]q= 43200C[/tex]

That seems like a whole lot of charge. I know it is a long period of time. Can anyone see anything wrong with this?

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# Homework Help: Charge from current

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