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← JEE Main 2015 · 11 Apr · Shift 1
PhysicsSingle correct+4 / -1Question 18 of 90

JEE Main 2015 · 11 Apr · Shift 1, Physics question 18

The value of the resistor, RSR_S, needed in the dc voltage regulator circuit shown here, equals :

Input V_i feeds R_S; after R_S the current splits into nI_L through a reverse-biased Zener diode and I_L through the load across which V_L is taken.
Choose one option
Answer and worked solution

Official answer: C

RSR_S carries the Zener current plus the load current, (n+1)IL(n+1)I_L, and drops Vi−VLV_i-V_L:
RS=Vi−VL(n+1)IL.R_S=\frac{V_i-V_L}{(n+1)I_L}.