1.79 A transconductance amplifier having the equivalent circuit shown in Table 1.1 is fed with a voltage source Vs having a source resistance Rs, and its output is connected to a load consisting of a resistance RL in parallel with a capacitance CL . For given values of Rs, RL, and CL, it is required to specify the values of the amplifier parameters Ri,Gm, and Ro to meet the following design constraints: (a) At most, x% of the input signal is lost in coupling the signal source to the amplifier (i.e., Vi ≥ [1−(x/100)]Vs). (b) The 3-dB frequency of the amplifier is equal to or greater than a specified value f3 dB. (c) The dc gain Vo/Vs is equal to or greater than a specified value A 0. Show that these constraints can be met by selecting R i ≥ 100 x − 1Rs R o ≤ 1 2πf3dBCL − (1/RL) G m ≥ A 0/[1 − (x/100)] (RL Ro) Find R i,Ro, and Gm for Rs = 10 k, x = 10%, A0 = 100 V/V,RL = 10 k, CL = 20 pF, and f3 dB = 2 MHz.

79 8 - 1.79 A transconductance amplifier having the equivalent circuit shown in Table 1.1 is fed with a voltage source Vs having a source resistance Rs, and its output is connected to a load consisting of a resistance RL in parallel with a capacitance CL . For given values of Rs, RL, and CL, it is required to specify the values of the amplifier parameters Ri,Gm, and Ro to meet the following design constraints: (a) At most, x% of the input signal is lost in coupling the signal source to the amplifier (i.e., Vi ≥ [1−(x/100)]Vs). (b) The 3-dB frequency of the amplifier is equal to or greater than a specified value f3 dB. (c) The dc gain Vo/Vs is equal to or greater than a specified value A 0. Show that these constraints can be met by selecting R i ≥ 100 x − 1Rs R o ≤ 1 2πf3dBCL − (1/RL) G m ≥ A 0/[1 − (x/100)] (RL Ro) Find R i,Ro, and Gm for Rs = 10 k, x = 10%, A0 = 100 V/V,RL = 10 k, CL = 20 pF, and f3 dB = 2 MHz.

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images - 1.79 A transconductance amplifier having the equivalent circuit shown in Table 1.1 is fed with a voltage source Vs having a source resistance Rs, and its output is connected to a load consisting of a resistance RL in parallel with a capacitance CL . For given values of Rs, RL, and CL, it is required to specify the values of the amplifier parameters Ri,Gm, and Ro to meet the following design constraints: (a) At most, x% of the input signal is lost in coupling the signal source to the amplifier (i.e., Vi ≥ [1−(x/100)]Vs). (b) The 3-dB frequency of the amplifier is equal to or greater than a specified value f3 dB. (c) The dc gain Vo/Vs is equal to or greater than a specified value A 0. Show that these constraints can be met by selecting R i ≥ 100 x − 1Rs R o ≤ 1 2πf3dBCL − (1/RL) G m ≥ A 0/[1 − (x/100)] (RL Ro) Find R i,Ro, and Gm for Rs = 10 k, x = 10%, A0 = 100 V/V,RL = 10 k, CL = 20 pF, and f3 dB = 2 MHz.

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