ps3 - EE/BIOE 497e PROBLEM SET 3 DUE: 18 April 2008 Problem...

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Unformatted text preview: EE/BIOE 497e PROBLEM SET 3 DUE: 18 April 2008 Problem 1: (60 Points) It is desired to observe and detect a magnetic resonance transition located at o rad/sec in an electrically lossy material. At this frequency, a network analyzer reveals that the probe coil has a self-inductance L and a series resistance R due to the self-resistance of the probe and losses within the sample. Looking into the matched probe, the spectrometer must see a real impedance of R at the transition frequency in order to power match the power amplifier and noise-match the receiver preamplifier. As the series resistance R of the probe is less than the characteristic impedance R , the matching network uses the parallel-series configuration in Figure 1. Figure 1: The impedance looking into the parallel-series matching network at the transition frequency o must be R o . 1. (10 points) Find expressions for C p and C s in terms of the parameters L , R , R and . 2. (2 points) Is the parallel-series network useful when R R ? Explain your answer. 3. (8 points) Figure 2 shows a simplified schematic of the spectrometer during measurement of the nuclear reso- nance signal v nr ( t ). Find an expression for the transfer function from the induced signal V nr ( s ) to the input voltage V i ( s ) across the preamplifier input, and place your answer in the standard form V i (...
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This note was uploaded on 07/23/2008 for the course EE 497e taught by Professor Unknown during the Spring '08 term at Pennsylvania State University, University Park.

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ps3 - EE/BIOE 497e PROBLEM SET 3 DUE: 18 April 2008 Problem...

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