Chegg Solutions for Microelectronic Circuits (Adel S Sedra, Kenneth C Smith) (Z-Library)_parte_1683

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Step 15.017P Consider the equation for low value of noise margin NML 1 (1) r Determine the value of r for maximum value of noise margin Differentiate equation with respect to d 1 1- dr r d d 1 0 dr r dr r(r+1) 0 2 Step of For maximum value of noise margin dr 1 0 =0 0 =0 r 1 1 2. r By squaring on both sides. 1 r(r+1) (2) Step of 7 Solve equation for roots. and consider positive root for The roots are 0 1.149 consider positive root for r Therefore, the value of r for maximum 1.149 Step of 7 Consider =3.3 and Determine the value of Replace 3.3 for 0.4 for V, and 1.149 for r in equation 1. 1 r Jr(r+1) =0.4-(1.3-0.4) 1.149 +1 =0.4-(1.3-0.4)[-0.36-0.63 0.391 V Therefore, the value of noise margin NML for r=1.149 is 0.391 Step of Consider r=2 Consider =3.3 and V, =0.4 Determine the value of Replace 3.3 for 0.4 for V, and for r in equation 1 1 r 1 =0.4-(1.3-0.4) 2 =0.5 V Therefore, the value of noise margin NML for r=2 is 0.5 V 0.5 Step of Consider r=5 Consider =3.3 and V, =0.4 Determine the value of NML Replace 3.3 for 0.4 for V, and 5 for r in equation 1. 1 r Jr(r+1) =0.4-(1.3-0.4) 5 0.466 V Therefore, the value of noise margin for r=5 is 0.466 Step of Consider 10 Consider =3.3 and =0.4 Determine the value of Replace 3.3 for 0.4 for V, and 10 for r in equation 1. r =0.4-(1.3-0.4) 10 + 0.4342 V Therefore, the value of noise margin for r 10 is 0.4342 Therefore, the value of noise margin does not change very much for and 10