Value of resistor, R_S , needed in dc voltage regulator circuit shown here, equals

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14.Semiconductor Electronics

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

A

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

B

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

C

$\frac{{\left( {{V_i} - {V_L}} \right)}}{{n{I_L}}}$

D

$\frac{{\left( {{V_i} + {V_L}} \right)}}{{n{I_L}}}$

(JEE MAIN-2015)

Solution

Voltage on resistor $R_s\,=\,V_i\,-\,V_L$

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

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

Standard 12

Physics

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