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Physics Question on Current electricity

A 8 V Zener diode along with a series resistance R is connected across a 20 V supply (as shown in the figure). If the maximum Zener current is 25 mA, then the minimum value of R will be ____ Ω.

A 8 V Zener diode along with a series resistance R is connected across a

Answer

R will be minimum when RL is infinitely large, so
RZener=825×103\frac{8}{25×10^{−3}}
RZener=320 Ω
So, RRZener=128\frac{R}{R_{Zener}}=\frac{12}{8}
R=128\frac{12}{8}×320
R=480 Ω
So, the answer is 480 Ω.