Problem

a. Determine VL, IL, IZ, and IR for the network of Fig. if RL = 180 Ω.b. Repeat part (a) i...

a. Determine VL, IL, IZ, and IR for the network of Fig. if RL = 180 Ω.


b. Repeat part (a) if RL = 470 Ω.


c. Determine the value of RL that will establish maximum power conditions for the Zener diode.


d. Determine the minimum value of RL to ensure that the Zener diode is in the “on” state.

FIG.

Step-by-Step Solution

Solution 1

(a)

Refer to Figure 2.186 in the textbook.

Calculate the load voltage, .

Here,

The load resistance is

The source resistance is

Voltage is

Substitute for , for and 20 V for to obtain as follows:

Therefore, the load voltage, is .

Here the load voltage is less than the ZENER voltage. So, the diode does not conduct and hence the current through the diode is zero.

Therefore, the value of the ZENER current, is.

Calculate the load current .

Therefore, the value of the load current is.

Calculate the reverse biased current .

Therefore, the value of the reverse biased current is.

(b)

Calculate the load voltage, .

Here,

The load resistance is

The source resistance is

Voltage is

Substitute for , for and 20 V for in .

Here the load voltage, is greater than the ZENER voltage, . So, the diode conducts and the load voltage is equal to the ZENER voltage.

Therefore, the load voltage, is .

Calculate the current, .

Here,

Resistance is

Load voltage, is 10 V

Voltage is

Substitute for , for and 10 V for in .

Therefore, the current through the resistor, is .

Calculate the load Current, .

Therefore, the load Current, is .

Calculate the ZENER diode current, .

Therefore, the ZENER diode current is .

(c)

Calculate the ZENER diode current, .

Calculate the minimum load current .

Calculate the load resistance, .

Therefore, the value of the load resistance, is

(d)

Calculate the load resistance when the ZENER diode is absent.

Therefore, the load resistance is .

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