Question
Asked Feb 9, 2019
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At t=1ms is the i=12(a estimated number)/1=12A or is it i=30/2=15A.

1.6
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)
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1.6 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)

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Expert Answer

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: 

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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.

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Step 3

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

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