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Solved Examples · Example 3

Q.Determine anode current IAI_A of SCR when IGI_G = 0. Given (α1+α2)(\alpha_1 + \alpha_2) = 0.58 and (Ico1+Ico2)(I_{co1} + I_{co2}) = 1 mA.

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[!TLDR]

With the gate open, IA=Ico1+Ico21−(α1+α2)=2.38I_A = \dfrac{I_{co1}+I_{co2}}{1-(\alpha_1+\alpha_2)} = 2.38 mA.

In the two-transistor model of an SCR, with the gate open (IG=0I_G = 0) the anode current is

IA=Ico1+Ico21−(α1+α2)I_A = \frac{I_{co1} + I_{co2}}{1 - (\alpha_1 + \alpha_2)}

where α1,α2\alpha_1, \alpha_2 are the current gains of the two equivalent transistors and Ico1,Ico2I_{co1}, I_{co2} are their collector-base leakage currents. As (α1+α2)(\alpha_1+\alpha_2) approaches 1 the denominator collapses and IAI_A grows very large — this runaway is what switches the SCR into conduction.

Given (α1+α2)=0.58(\alpha_1+\alpha_2) = 0.58 and (Ico1+Ico2)=1(I_{co1}+I_{co2}) = 1 mA:

IA=1×10−31−0.58=1×10−30.42=2.38×10−3 A=2.38 mAI_A = \frac{1 \times 10^{-3}}{1 - 0.58} = \frac{1 \times 10^{-3}}{0.42} = 2.38 \times 10^{-3}\ \text{A} = 2.38\ \text{mA}

[!NOTE] In the textbook the printed "Given" line of this solved example also lists IG=100I_G = 100 mA, which contradicts the question's own condition IG=0I_G = 0 (it appears to have been copied from the next example). The example is correctly solved with IG=0I_G = 0, giving 2.38 mA.

[!ANSWER]

IA=2.38I_A = 2.38 mA

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