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Q.

A zener of breakdown voltage V_Z= 8 V and maximum zener current, I_ZM = 10 mA is subjected to an input voltage V_i= 10 V with series resistance R = 100 $Ω$ . In the given circuit R_L represents the variable load resistance. The ratio of maximum and minimum value of R_L is ______________.

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$\begin{array}{l} I = \frac{2}{100} = 20 mA \\ I = I_{Z} + I_{L} \\ V_{L} = I_{L} R_{L} \\ 8 = 10 \times 10^{- 3} \times R_{L_{max}} \\ \frac{4}{5} \times 10^{3} = R_{L_{max}} \\ 800 = R_{L_{max}} \end{array}$

$\begin{array}{l} I = I_{Z} + I_{L} \\ I_{L} = 10 mA \\ If I_{Z} = 0 \\ I_{L_{max}} = 20 mA \\ V_{L} = I_{L_{max}} \times R_{L_{min}} \\ \frac{8}{20} \times 10^{3} = R_{L_{min}} \\ 400 = R_{L_{min}} \end{array}$

$\frac{R_{L_{max}}}{R_{L_{min}}} = \frac{800}{400} = 2$

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A zener of breakdown voltage VZ = 8 V and maximum zener current, IZM = 10 mA is subjected to an input voltage Vi = 10 V with series resistance R = 100 Ω. In the given circuit RL represents the variable load resistance. The ratio of maximum and minimum value of RL is ______________.