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← JEE Main 2022 · 28 Jun · Shift 2
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JEE Main 2022 · 28 Jun · Shift 2, Physics question 52

A zener of breakdown voltage VZ=8V_Z=8 V and maximum zener current, IZM=10I_{ZM}=10 mA is subjected to an input voltage Vi=10V_i=10 V with series resistance R=100 ΩR=100\ \Omega. In the given circuit RLR_L represents the variable load resistance. The ratio of maximum and minimum value of RLR_L is ______.

Zener regulator: a 10 V source in series with R = 100 Ω; a reverse-biased zener (V_z = 8 V, I_ZM = 10 mA) in parallel with a variable load R_L.
Answer and worked solution

Official answer: 2

Current through R. 10−8100=20\frac{10-8}{100}=20 mA.

Load current ranges from 20−10=1020-10=10 mA to 20 mA: RLR_L from 80.02=400\frac8{0.02}=400 Ω to 80.01=800\frac8{0.01}=800 Ω.

Ratio 2.

Answer: 2