How can you identify whether a geometric series is convergent or divergent?
The test of whether a geometric series will converge or diverge is whether or not the ratio is between -1 and +1. If the ratio is outside of this range, the terms of the series will continue to increase and the series will be divergent.
Explain the meaning of the first three derivatives of a function of position?
The first derivative of position is speed (ie the rate of change of position). The second derivative of position (ie the rate of change of speed) is acceleration. The third derivative of position (ie the rate of change of acceleration) is known as jerk.
Explain why the rating of a transformer is typically listed in Volt-Amperes?
Unlike most other pieces of equipment, there is not a single value for the current through a transformer. The current is different between the primary and secondary windings. By using Volt-Amperes, a single value can be used to identify the rating of the transformer.