37. Determine the equivalent impedance of the following, assuming an operating frequency of 20 rad/s: (a) 1 k2 in series with 1 mF; (b) 1 k2 in parallel with 1 mH; (c) 1 k2 in parallel with the series combination of 1 F and 1 H.

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36. (a) Obtain an expression for the equivalent impedance Zeq of a 1 2 resistor in
series with a 10 mH inductor as a function of w. (b) Plot the magnitude of Zeg
as a function of w over the range 1 <w<100 krad/s (use a logarithmic scale
for the frequency axis). (c) Plot the angle (in degrees) of Zeq as a function of w
over the range 1 <@ < 100 krad/s (use a logarithmic scale for the frequency
axis). [Hint: semilogx() in MATLAB is a useful plotting function.]
37. Determine the equivalent impedance of the following, assuming an operating
frequency of 20 rad/s: (a) 1 k2 in series with 1 mF; (b) 1 k2 in parallel with
1 mH; (c) 1 k2 in parallel with the series combination of 1 F and 1 H.
38. (a) Obtain an expression for the equivalent impedance Zeq of a 1 2 resistor in
series with a 10 mF capacitor as a function of w. (b) Plot the magnitude of Zeq
as a function of w over the range 1 <w<100 krad/s (use a logarithmic scale
for the frequency axis). (c) Plot the angle (in degrees) of Zeq as a function of
w over the range 1 <w<100 krad/s (use a logarithmic scale for the frequency
axis). [Hint: semilogx() in MATLAB is a useful plotting function.]
39. Determine the equivalent admittance of the following, assuming an operating
frequency of 1000 rad/s: (a) 25 N in series with 20 mH; (b) 25 2 in parallel with
20 mH; (c) 25 N in parallel with 20 mH in parallel with 20 mF; (d) 1 2 in series
with 1 F in series with 1 H; (e) 1 2 in parallel with 1 F in parallel with 1 H.
Transcribed Image Text:36. (a) Obtain an expression for the equivalent impedance Zeq of a 1 2 resistor in series with a 10 mH inductor as a function of w. (b) Plot the magnitude of Zeg as a function of w over the range 1 <w<100 krad/s (use a logarithmic scale for the frequency axis). (c) Plot the angle (in degrees) of Zeq as a function of w over the range 1 <@ < 100 krad/s (use a logarithmic scale for the frequency axis). [Hint: semilogx() in MATLAB is a useful plotting function.] 37. Determine the equivalent impedance of the following, assuming an operating frequency of 20 rad/s: (a) 1 k2 in series with 1 mF; (b) 1 k2 in parallel with 1 mH; (c) 1 k2 in parallel with the series combination of 1 F and 1 H. 38. (a) Obtain an expression for the equivalent impedance Zeq of a 1 2 resistor in series with a 10 mF capacitor as a function of w. (b) Plot the magnitude of Zeq as a function of w over the range 1 <w<100 krad/s (use a logarithmic scale for the frequency axis). (c) Plot the angle (in degrees) of Zeq as a function of w over the range 1 <w<100 krad/s (use a logarithmic scale for the frequency axis). [Hint: semilogx() in MATLAB is a useful plotting function.] 39. Determine the equivalent admittance of the following, assuming an operating frequency of 1000 rad/s: (a) 25 N in series with 20 mH; (b) 25 2 in parallel with 20 mH; (c) 25 N in parallel with 20 mH in parallel with 20 mF; (d) 1 2 in series with 1 F in series with 1 H; (e) 1 2 in parallel with 1 F in parallel with 1 H.
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