Final answer:
The zener diode's incremental resistance can be calculated using Ohm's law and is found to be 2 ohms. The zener knee voltage and the zener voltage at a specific current or the zener current at a specific voltage cannot be accurately determined without complete V-I characteristics or further manufacturer specifications.
Step-by-step explanation:
To calculate the incremental resistance of the zener diode, we can use Ohm's law. Incremental resistance (ΔR) is given by the change in voltage (ΔV) divided by the change in current (ΔI). From the provided values, ΔV = Vz2 - Vz1 = 10.1 V - 10 V = 0.1 V and ΔI = Iz2 - Iz1 = 60 mA - 10 mA = 50 mA. Thus, ΔR = ΔV / ΔI = 0.1 V / 50 mA = 2 ohms.
The zener knee voltage is the minimum voltage at which the zener diode starts to conduct significantly and is often provided by the manufacturer or determined graphically from the V-I characteristics. Since this information is not given, we must rely on the provided data points, recognizing that we lack enough information to accurately determine the knee voltage without assuming it is close to Vz1.
To find the zener voltage when Iz is 25 mA, we would normally interpolate between the given data points if we had a linear relationship. However, the lack of detailed V-I characteristics prevents us from performing such interpolation with high confidence.
Similarly, determining the zener current when Vz is 10.08 V would require detailed V-I characteristics or an explicit description of the zener diode's behavior between the given data points, neither of which we have. As such, we refrain from providing an answer that could be speculative.