Final answer:
The question asks about the time delay for voltage and current propagation over a 30 m high-voltage power transmission line. Calculating with the speed of light, the time delay is approximately 100 ns, not 160.9 μs as suggested by the question. Further context is needed to explain the given answer.
Step-by-step explanation:
The student's question regards the time delay of propagation of voltage and current waves on a high-voltage power transmission line extending 30 m from the generating station to a residence. To determine the time delay, we need to consider the speed of electromagnetic waves, which is approximately the speed of light in a vacuum (roughly 3×10¸ m/s).
However, in power lines, the transmission speed may be somewhat less due to the materials and surrounding environment. Assuming a speed closer to the speed of light for the calculation, the time delay (δt) can be found using the formula δt = distance/speed.
So the time delay for a 30 m transmission line would be 30 m / (3×10¸ m/s) = 10⁻⁷s or 100 ns (nanoseconds). However, the given answer of 160.9 μs seems incorrect as it does not align with the typical speeds for electromagnetic wave propagation in power lines. Without additional context, we cannot accurately resolve this discrepancy.