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# hw7_sol - ECE 442 HW7 Solutions 1 a The required total...

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Unformatted text preview: ECE 442 HW7 Solutions 1. a) The required total voltage gain is: v o , max v s , max = 1 V 100 mV = 10 V V Maximum total gain of single blocks is: v o 1 v s = v o 1 v i × v i v s = G m v i ( R o 1 || R L ) v i × v s R i 1 R i 1 + R S v s ≤ . 2 m × ( 400 k || 4 k ) × 150 k 150 k + 50 k = . 594 V V v o 2 v s = v o 2 i i × i i v i × v i v s = I sc i i ( R o 2 || R L ) i i × v i / R i 2 v i × v s R i 2 R i 2 + R S v s ≤ 10 × ( 250 k || 4 k ) × 1 30 k × 30 k 30 k + 50 k = . 492 V V v o 3 v s = v o 3 i i × i i v i × v i v s = R m i i R L R o 3 + R L i i × v i / R i 3 v i × v s R i 3 R i 3 + R S v s ≤ 90 k × 4 k 1 k + 4 k × 1 5 k × 5 k 5 k + 50 k = 1 . 31 V V Therefore, no single block can produce the required gain. b) The natural choice for a cascaded amplifier that needs to amplify voltage is to cascade a transconductance amplifier (whose input is voltage, output is amplified current) and a transresistance amplifier (whose input is current, output is amplified voltage)....
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hw7_sol - ECE 442 HW7 Solutions 1 a The required total...

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