A Zener of breakdown voltage $V_{Z} = 8 V$ and maximum Zener current, $I_{Z M} = 10 m A$ 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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Detailed Solution

${(I_{z})}_{\max} = 10 m A; V = i R 2 = (100) i \Rightarrow i = 20 m A {(i_{L})}_{\min} = i = i_{z} = 10 m A {(i_{L})}_{\max} = 20 - 0 = 20 m A \frac{R_{\max}}{R_{\min}} = \frac{V / i_{\min}}{V / i_{\max}} = \frac{i_{\max}}{i_{\min}} = 2$

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