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Question:

The value of the resistor, RS, needed in the DC voltage regulator circuit shown here, equals

(Vi−VL)(n+1)IL

(Vi+VL)nIL

(Vi+VL)(n+1)IL

(Vi−VL)nIL

Solution:

Total current in resistance RS
I = nIL + IL = (n+1)IL
Voltage across RS is VS = Vi - VL
Therefore, RS = VS / I = (Vi - VL) / (n+1)IL = (Vi - VL) / (n+1)IL