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Calculation of Impedance Using MATLAB

Question

Impedance is related to the inductance, 𝐿, and the capacitance, 𝐶 by the following equations: 

Calculation of Impedance Using MATLAB

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

𝐶=1 𝜇𝐹 (𝑚𝑖𝑐𝑟𝑜𝑓𝑎𝑟𝑎𝑑𝑠),𝐿=200 𝑚𝐻 (𝑚𝑖𝑙𝑙𝑖ℎ𝑒𝑛𝑟𝑖𝑒𝑠), 𝑅=5 𝑜ℎ𝑚𝑠,𝑓=15 𝑘𝐻𝑧 (𝑘𝑖𝑙𝑜ℎ𝑒𝑟𝑡𝑧),𝜔=2𝜋𝑓, 𝑉=10 𝑣𝑜𝑙𝑡𝑠

Calculation of Impedance Using MATLAB

 

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

b. Find the total impedance 𝑍𝑇=𝑍𝐶+𝑍𝐿+𝑅

c. Find the current by solving Ohm’s law for I.     𝑉=𝐼𝑍𝑇

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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