Calculation of Impedance Using MATLAB

Question

Impedance is related to the inductance, ð¿, and the capacitance, ð¶ by the following equations:

For a circuit similar to the one shown below. Assume the following:

ð¶=1 ðœ‡ð¹ (ð‘šð‘–ð‘ð‘Ÿð‘œð‘“ð‘Žð‘Ÿð‘Žð‘‘ð‘ ),ð¿=200 ð‘šð» (ð‘šð‘–ð‘™ð‘™ð‘–â„Žð‘’ð‘›ð‘Ÿð‘–ð‘’ð‘ ), ð‘…=5 ð‘œâ„Žð‘šð‘ ,ð‘“=15 ð‘˜ð»ð‘§ (ð‘˜ð‘–ð‘™ð‘œâ„Žð‘’ð‘Ÿð‘¡ð‘§),ðœ”=2ðœ‹ð‘“, ð‘‰=10 ð‘£ð‘œð‘™ð‘¡ð‘

a. Find the impedance for the capacitor and for the inductor.

b. Find the total impedance ð‘ð‘‡=ð‘ð¶+ð‘ð¿+ð‘…

c. Find the current by solving Ohm’s law for I.     ð‘‰=ð¼ð‘ð‘‡

d. Electrical engineers often describe complex parameters using polar coordinates that is the parameter has both an angle and a magnitude. (Imagine plotting a point on

the complex plane, where the x-axis represents the real part of the number, and the y-axis represents the imaginary part of the number.) Use the abs function to find

the magnitude of the current found in part (c), and use the angle function to find the corresponding angle.

Summary

This question belongs to MATLAB software and discusses about application of MATLAB to circuits which contains resistors, inductors and capacitors and to carry out certain calculations.

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