Problem

The expressions for voltage, power, and energy derived in Example 6.5 involved both integr...

The expressions for voltage, power, and energy derived in Example 6.5 involved both integration and manipulation of algebraic expressions. As an engineer, you cannot accept such results on faith alone. That is, you should develop the habit of asking yourself, “Do these results make sense in terms of the known behavior of the circuit they purport to describe?” With these thoughts in mind, test the expressions of Example 6.5 by performing the following checks:

a) Check the expressions to see whether the voltage is continuous in passing from one time interval to the next.


b) Check the power expression in each interval by selecting a time within the interval and seeing whether it gives the same result as the corresponding product of v and i. For example, test at 10 and 30 µs.


c) Check the energy expression within each interval by selecting a lime within the interval and seeing whether the energy equation gives the same result as  Use 10 and 30 µs as test points.

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