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Exercise Problems · Q2

Q.Determine cathode current IKI_K of SCR when IGI_G = 0. Given (α1+α2)(\alpha_1 + \alpha_2) = 0.99 and (Ico1+Ico2)(I_{co1} + I_{co2}) = 3 mA.

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[!TLDR]

With the gate open, IK=IA=Ico1+Ico21−(α1+α2)=300I_K = I_A = \dfrac{I_{co1}+I_{co2}}{1-(\alpha_1+\alpha_2)} = 300 mA.

When the gate is open (IG=0I_G = 0) no gate current is injected, so the cathode current equals the anode current: IK=IA+IG=IAI_K = I_A + I_G = I_A. The anode current of the SCR in its two-transistor model is

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

Given (α1+α2)=0.99(\alpha_1+\alpha_2) = 0.99 and (Ico1+Ico2)=3(I_{co1}+I_{co2}) = 3 mA:

IA=3×10−31−0.99=3×10−30.01=0.3 A=300 mAI_A = \frac{3 \times 10^{-3}}{1 - 0.99} = \frac{3 \times 10^{-3}}{0.01} = 0.3\ \text{A} = 300\ \text{mA}

IK=IA=300 mAI_K = I_A = 300\ \text{mA}

[!ANSWER]

IK=300I_K = 300 mA

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