MCQ
In the given circuit, the current through zener diode is......$mA$
  • A
    $2.5$
  • $3.3$
  • C
    $5.5$
  • D
    $6.7$

Answer

Correct option: B.
$3.3$
b
The voltage drop across $\mathrm{R}_{2}$ is $\mathrm{V}_{\mathrm{R}_{2}}$ $=\mathrm{V}_{\mathrm{Z}}=10 \mathrm{V}$

The current through $\mathrm{R}_{2}$ is

$\mathrm{I}_{\mathrm{R}_{2}}=$ $\frac{\mathrm{V}_{\mathrm{R}_{2}}}{\mathrm{R}_{2}}$ $=\frac{10 \mathrm{V}}{1500 \Omega}$ $=0.667 \times 10^{-2} \mathrm{A}$

$=6.67 \times 10^{-3} \mathrm{A}=6.67 \mathrm{mA}$

The voltage drop across $R_{1}$ is

$\mathrm{V}_{\mathrm{R}_{1}}=15 \mathrm{V}-\mathrm{V}_{\mathrm{R}_{2}}$ $=15 \mathrm{V}-10 \mathrm{V}=5 \mathrm{V}$

The current through $\mathrm{R}_{1}$ is

$\mathrm{I}_{\mathrm{R}_{1}}=\frac{\mathrm{V}_{\mathrm{R}_{1}}}{\mathrm{R}_{1}}=\frac{5 \mathrm{V}}{500 \Omega}=10^{-2} \mathrm{A}=10 \times 10^{-3} \mathrm{A}=10 \mathrm{mA}$

The current through the zener diode is

$\mathrm{I}_{\mathrm{Z}}=\mathrm{I}_{\mathrm{R}_{1}}-\mathrm{I}_{\mathrm{R}_{2}}$ $=(10-6.67) \mathrm{mA}=3.3 \mathrm{mA}$

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