Maximum Zener Diode Power Dissipation

**Strings (S _{i}P_{j}A_{jk}) = S_{7}P_{7}A_{72} Base Sequence = 12735 String Sequence = 12735 - 7 - 72**

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Maximum Zener Diode Power Dissipation

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Suppose the components of the Zener diode voltage regulator circuit of figure 121.11(b) have the following values:

V_{s} = 24 V; V_{Z} = 12 V; R_{s} = 50 Ω; R_{L} = 250 Ω;
**(a)** Determine the minimum acceptable power rating of the Zener diode.

Now suppose the values are changed as follows:

V_{s} = 50 V; V_{Z} = 14 V; R_{s} = 30 Ω; P_{Z} = 5 W.
**(b)** Determine the range of load resistances, R_{L} such that the diode power rating is not exceeded.

**The strings**:
S_{7}P_{7}A_{72} (Dynamic Equilibrium).
**The math**:

Pj Problem of Interest is of type *equilibrium* (dynamic equilibrium). The objective of a Zener diode voltage regulator circuit is to maintain a stable (constant) voltage across a load. Even though we are calculating pwer and resistances, the basic objective of stability remains.

The two most important characteristics of a Zener diode are the Zener voltage and the rated power dissipation. Zener diode behaves like any other reverse-biased diode for variable DC V_{s} ≤ reverse breakdown voltage V_{z}. When V_{s} is > V_{z} (occurrence of *avalanche voltage*), Zener diode will conduct current. This transition point is called the *avalanche point*. Zener voltage is kept constant at and beyond the *avalanche point*. So, load connected in parallel to the Zener diode will have a constant load voltage equal to V_{z} as long as V_{s} is > V_{z}.

(a) Now, by Ohm's law
*i _{s}* = (V

So, Zener current,

So, P

However, this is not P

P

In this case,

So, P

So, a 3-W Zener diode will be a safe power rating for the circuit.

(b)

R

So, R

R

So, R

So,R

So, range of allowable resistance is 11.7 Ω ≤ R

The *point* **.** is a mathematical abstraction. It has negligible size and a great sense of position. Consequently, it is front and center in abstract existential reasoning.

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