How do I calculate the dynamic resistance of a zener diode with the following set of values given please? The circuit in figure is the circuit in question I am trying to solve this for please. Vin(DC) = 10V vin(ac) = 0.05sin(wt) Vz(voltage of diode) = 4.5V R1 = 1000 ohms

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How do I calculate the dynamic resistance of a zener diode with the following set of values given please? The circuit in figure is the circuit in question I am trying to solve this for please.

Vin(DC) = 10V

vin(ac) = 0.05sin(wt)

Vz(voltage of diode) = 4.5V

R1 = 1000 ohms

R1
+
Vin
A VOUT
VIN
+
Figure 2. A simple voltage regulator using a Zener diode.
1. For the linear regulator shown in Figure 2, and assuming the slopes (in mA/V) from
Figure 1 indicated in the introduction, write an analytical expression (i.e., in terms of
Vz, Vin and VIN as well as the resistors R1 and the diode resistance) for the output
voltage, VoUT, which includes both large (DC) and small (sinusoidal) signal
components when the Zener diode is that characterized by the i-v relationship shown
in Figure 1.
Transcribed Image Text:R1 + Vin A VOUT VIN + Figure 2. A simple voltage regulator using a Zener diode. 1. For the linear regulator shown in Figure 2, and assuming the slopes (in mA/V) from Figure 1 indicated in the introduction, write an analytical expression (i.e., in terms of Vz, Vin and VIN as well as the resistors R1 and the diode resistance) for the output voltage, VoUT, which includes both large (DC) and small (sinusoidal) signal components when the Zener diode is that characterized by the i-v relationship shown in Figure 1.
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