In the following circuit, the current flowing through zener diode is

In the following circuit, the current flowing through zener diode is
  1. 35 mA
  2. 25 mA
  3. 15 mA
  4. 5 mA

Solution


The voltage drop across $R_2$ is $\mathrm{V}_2=\mathrm{V}_{\mathrm{z}}=8 \mathrm{~V}$
The current through $R_2$ is $\begin{aligned} & \mathrm{I}_2=\frac{\mathrm{V}_2}{\mathrm{R}_2}=\frac{8}{1600}=5 \times 10^{-3} \mathrm{~A} \\ & \mathrm{I}_2=5 \mathrm{~mA} \end{aligned}...(i)$
The voltage drop across $R_1$ is $\begin{aligned} & \mathrm{V}_1=20-\mathrm{V}_2 \\ & 20-8=12 \mathrm{~V} \end{aligned}$
The current through $R_1$ is $\mathrm{I}_1=\frac{\mathrm{V}_1}{\mathrm{R}_1}=\frac{12}{400}=3 \times 10^{-2} \mathrm{~A}=30 \times 10^{-3} \mathrm{~A}$ $\mathrm{I}_1=30 \mathrm{~mA}...(ii)$
The current through the Zener diode is $\begin{aligned} \mathrm{I}_{\mathrm{z}} & =\mathrm{I}_1-\mathrm{I}_2 \\ & =(30-5) \mathrm{mA} \quad \ldots[\text { From (i) and (ii) }] \\ & =25 \mathrm{~mA} \end{aligned}$

Asked in: MHT CET 2024 (02 May Shift 2)

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