# 1.6The charge entering a certain element is shown inFig. 1.23. Find the current at:(a) t = 1 ms (b) t = 6 msq(t) (mC)(c) t = 10 ms30O 2 4 6 8 10 12 t (ms)

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At t=1ms is the i=12(a estimated number)/1=12A or is it i=30/2=15A. help_outlineImage Transcriptionclose1.6 The charge entering a certain element is shown in Fig. 1.23. Find the current at: (a) t = 1 ms (b) t = 6 ms q(t) (mC) (c) t = 10 ms 30 O 2 4 6 8 10 12 t (ms) fullscreen
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Step 1

From the definition of current i(t), it can be expressed as the time derivative of charge q(t). The corresponding expression is presented here:

Step 2

In this problem current is expressed in the form of a waveform. The waveform is presented here.

It can be seen from the diagram that the current waveform has three distinct regions:

1. Between 0 and 2 sec: The charge is increasing linearly with slope of 15 mC per sec.

2. Between 2 and 8 sec: The charge remains constant.

3. Between 8 and 12 sec: The charge is linearly decreasing with slope of -7.5 mC per sec.

Step 3

At t=1 ms, the calculation is...

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