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# hw3 - necessary plots with measurements R 2-V i U 1 R 1 V o...

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ELEN 325 HOMEWORK #3 ( Due date: Monday September 25, 2006) 1. In the following circuit, open-loop gain of the opamp is A ( s ) = 3 × 10 5 1 + s 2 π 10 . (a) Derive the transfer function T ( s ) = V o ( s ) /V i ( s ) . (b) Sketch the magnitude Bode plot of T ( ) . (c) Find V o ( t ) for V i ( t ) = 0 . 01 sin(2 π 10 3 t ) . (d) Build the opamp block and simulate the circuit to verify your results in (b) and (c). Provide schematics and all necessary plots with measurements. + - V i R 1 1k R 3 10k 1k R 2 C 1 100n 1k R 4 U 1 0 0 V o 0 2. For the following circuit, the op-amp speciﬁcations are given in the table. (a) For R 1 = 1 k and R 2 = 10 k , ﬁnd the maximum sine-wave input amplitude at the corner frequency before the output distorts. (b) Find R 1 and R 2 to have a DC gain of 50. Find the 3-dB bandwidth of the ampliﬁer, and the maximum sine-wave input amplitude at 10 kHz before the output distorts. (c) Simulate the circuit in Pspice using UA741 and verify your results in (a) and (b). Provide schematics and all

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Unformatted text preview: necessary plots with measurements. R 2 +-V i U 1 R 1 V o Gain-bandwidth product 1 MHz DC gain 200 × 10 3 Slew rate 0.5 V/ μ S 1 3. For the circuit below, assume that the opamps are ideal. (a) Derive the transfer function T ( s ) = V o ( s ) /V i ( s ) . (b) Sketch the magnitude Bode plot of T ( jω ) . (c) Find V o ( t ) for V i ( t ) = 0 . 2 sin(2 π 1000 t ) . (d) Verify your results in (b) and (c) using Pspice. Provide schematics and all necessary plots with measurements. (e) If the slew rate is . 5 V/μs , ﬁnd the maximum amplitude of sinewave input ( V i ) at 20 kHz before the output ( V o ) distorts. 500n C 1 500 R 1 2k R 3 R 2 5k U 2 C 2 1n 1k R 4 +-V i 1k R 5 U 1 V o 2...
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hw3 - necessary plots with measurements R 2-V i U 1 R 1 V o...

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