Current Piecewise
1. The problem asks why the piecewise function for current \(i(t)\) from problem 1.5 does not have the same amplitude signs as some answers given in Appendix D.
2. Given function \(i(t)\) is:
$$i(t) = \begin{cases} 25 & 0 < t < 2 \\ -25 & 2 < t < 6 \\ 25 & 6 < t < 8 \end{cases}$$
This describes the current amplitude switching between +25 A and -25 A at times 2 s and 6 s.
3. Appendix D shows the same function as:
\(i = \{ 25 A, 0 < t < 2; -25 A, 2 < t < 6; 25 A, 6 < t < 8 \}\)
So the problem and answer precisely match in amplitude and intervals.
4. The possible reason they may seem different is due to:
- Interpretation of sign conventions (direction of current flow).
- Possible notation or plotting perspective differences causing visual confusion.
5. In conclusion, the given answers in Appendix D for problem 1.5 correctly represent the piecewise current function with alternating positive and negative amplitude over specified intervals.
6. If your concern is about a discrepancy, double-check the context of sign conventions or if the question refers to absolute values instead of signed values.
Final answer: Appendix D's piecewise function for current correctly matches the original problem statement with +25 A and -25 A alternating over given time intervals.