The value of the resistor, \(R_S\), needed in the \(dc\) voltage regulator circuit shown here, equals

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Answer & Solution

Correct Answer

(A) \(\frac{{\left( {{V_i} - {V_L}} \right)}}{{\left( {n + 1} \right){I_L}}}\)

Step-by-step Solution

Detailed explanation

Voltage on resistor \(R_s\,=\,V_i\,-\,V_L\)

or, \(({{I}_{L}}\,+\,n{{I}_{L}}){{R}_{s}}\,=\,{{V}_{i}}\,-\,{{V}_{L}}\)

\(\therefore \,\,{{R}_{s}}\,=\,\frac{\,{{V}_{i}}\,-\,{{V}_{L}}}{(n+\,1){{I}_{L}}}\)

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