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A 10V zener diode along with a series resistance is connected across a 40V supply. Calculate the minimum value of the resistance required, if the maximum zener current is 50 mA.

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From the figure we find that

Vi = 40V, I1 = 50 mA

From the figure HQ 3 we find that

∴ Maximum current

I = I1 + I2 = 5mA + 0

= 50 mA = 50 x 10-3 A

Since maximum current flows through zener diode, hence

I2 = 0

Voltage drop across zener, V0 = 10 V

Since I is maximum, hence maximum value of R is given by

R = \(\frac{V_i - V_0}{I} = \frac{40 - 10 }{50 \times 10^{-3}} \) = 60Ω

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