For the short-channel device shown in Figure 4, given that Vdd = 2.5 V, Vt0 = 0.4 V, γ = 0.1 V0.5, velocity saturation voltage V'DSAT = 1 V, |2ϕF| = 0.6 V. [15 pts] a) Determine the different modes of the device while Vo is changed from 0 to Vdd. [ 7 pts ] b) Derive the condition for Vo at the boundary of each operation mode and give the corresponding value of Vo. [8 pts ] Hint: Threshold voltage Vt = Vt0 + γ(2ϕF+VSB − 2ϕF). Figure 4. The short-channel device.

For the short-channel device shown in Figure 4, given that Vdd = 2.5 V, Vt0 = 0.4 V, γ = 0.1 V0.5, velocity saturation voltage V'DSAT = 1 V, |2ϕF| = 0.6 V. [15 pts] a) Determine the different modes of the device while Vo is changed from 0 to Vdd. [ 7 pts ] b) Derive the condition for Vo at the boundary of each operation mode and give the corresponding value of Vo. [8 pts ] Hint: Threshold voltage Vt = Vt0 + γ(2ϕF+VSB − 2ϕF). Figure 4. The short-channel device.

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For the short-channel device shown in Figure 4, given that V dd = 2.5 V , V t 0 = 0.4 V , γ = 0.1 V 0.5 , velocity saturation voltage V' DSAT = 1 V , | 2 ϕ F | = 0.6 V . [15 pts] a) Determine the different modes of the device while V o is changed from 0 to V dd . [ 7 pts ] b) Derive the condition for V o at the boundary of each operation mode and give the corresponding value of V o. [8 pts ] Hint: Threshold voltage V t = V t 0 + γ ( 2 ϕ F + V S B 2 ϕ F ) .
Figure 4. The short-channel device.

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