For the diagram shown, the resistances between points $\mathrm{A}$ and $\mathrm{B}$ when ideal diode…

For the diagram shown, the resistances between points $\mathrm{A}$ and $\mathrm{B}$ when ideal diode $\mathrm{D}$ is forward biased is ' $R_1$ ' and that when reverse biased is ' $R_2$ '. The ratio $R_1: R_2$ is
  1. $2: 1$
  2. $1: 1$
  3. $1: 2$
  4. $1: 4$

Solution

When the diode is forward biased, current will flow through both the arms. $\therefore \quad$ The effective resistance is $\mathrm{R}_1=\frac{40 \times 40}{80}=\frac{1600}{80}=20 \Omega$ When the diode is reverse biased, current will flow through the bottom arm only $\therefore \quad$ The effective resistance $\mathrm{R}_2$ is $40 \Omega$. $\therefore \quad \frac{\mathrm{R}_1}{\mathrm{R}_2}=\frac{20}{40}=\frac{1}{2}$

Asked in: MHT CET 2023 (10 May Shift 2)

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