The currents, \[I,\,\,{{I}_{Z}}\] and \[{{I}_{L}}\] are respectively.
A) \[15mA,\,\,5mA,\,\,10mA\]
B) \[15mA,\,\,7.5mA,\,\,7.5mA\]
C) \[12.5mA,\text{ }5mA,\text{ }7.5mA\]
D) \[12.5mA,\text{ }7.5mA,\text{ }5mA\]
Correct Answer: D
Solution :
[d] Here, \[R=4\,k\Omega =4\times {{10}^{3}}\Omega \,{{V}_{i}}=60V\] Zener voltage \[{{V}_{Z}}=10\,V\,{{R}_{L}}=2k\Omega =2\times {{10}^{3}}\Omega \] Load current, \[{{I}_{L}}=\frac{{{V}_{Z}}}{{{R}_{L}}}=\frac{10}{2\times {{10}^{3}}}=5\,mA\] Current through R, \[I=\frac{{{V}_{i}}-{{V}_{Z}}}{R}=\frac{60-10}{4\times {{10}^{3}}}\] \[=12.5\,mA\] Fom circuit diagram, \[I={{I}_{Z}}+{{I}_{L}}\] \[\Rightarrow \,\,\,\,\,12.5={{I}_{Z}}+5\Rightarrow {{I}_{Z}}=12.5-5=7.5\,mA\]
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