P1.3-6 The current in a circuit element is plotted in Figure P1.3-6. Determine the total charge that flows through the circuit element between  300 and 1200 μs.

 

P1_3_6

Figure P1.3-6

 

As with the last problem, first write out the function for this plot.  Use two point forms of lines and we have four data points for the three line segments.  Using units of µs on the x axis and nA on the y axis, yields slope units of nA/µs.  The four points are (0, -720), (400,720), (1100, 720), and (1100,0). 

We also know i(t) = -720 for t < 0 and i(t) = 0 for t > 1100 µs.

 

For

 

 

Check limits

 

As they should.

Since the next section is a flat line we get

 

For

 

And for t > 1100 we have i(t) = 0.

 

i is in nA when t is in µs.

 

Charge is found by

 

 

 

 

 

 

 

 

 

 

 

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This page last updated on December 24, 2018