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The value of the resistor, R_S, needed in the dc voltage regulator circuit shown here, equals [Figure: input Vᵢ, series R_S, a Zener carrying nI_L, and a load carrying I_L with output V_L.]

Asked in JEE Main Online 2015 · Zener current and series resistance

Figure: Zener current and series resistance
Answer: (3) (Vᵢ-V_L)/(n+1)I_L

Step-by-step solution

Voltage across R_S: Vᵢ-V_L.

Current through R_S: nI_L+I_L=(n+1)I_L.

R_S=(Vᵢ-V_L)/((n+1)I_L)

Why the other options are wrong

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