Calculating impedance. Impedance is a useful concept in many engineering disciplines, especially for analyzing electrical circuits when the applied voltages or currents are sinusoids. Impedance is a complex number that represents the ability of a circuit element or combination of elements to oppose sinusoidal electric current impedance has the same units as resistance, or ohms Ω The impedance of vanous circuit elements can be calculated as follows: Inductor's impedance nductor- jo, where is the imaginary unit, is the sinusoid's frequency, and L is the inductance. joc, where is the imaginary unit, is the sinusoid's frequency, and C is the capacitance dance: ein -R, where R is the resistance Two impedances, 4 and 2z, can be combined in many different ways. The simpliest combintations are in series or in parallel. z,in-2+ 2a 7る . Two impedances in senes . Two impedances in parallel: The U.S. electrical grid operates at a frequency of 60 Hz, or 377 rad's, Complete the function CalculateCombinedimpedance such that 1. Assign motorimpeda ance with the impedance given an electrical motor connected to U.S electrical grid with resistance motorResistance and inductance motorinductance in series 2. Assign capacitorimpedance with the impedance given a capacitor connected to the US electrical grid with capacitance capacitorCapacitance 3. Assign combinedimpedance with the impedance of the parallel combination of the above motor and the capacitor

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Impedance is an AC property of a circuit that may change depending on the frequency of operation. Typically, it is expressed as Z = R - j/C + jL, where = 2f.

Impedance is a helpful concept in a variety of engineering fields, particularly for studying electrical circuits with sinusoidal applied voltages or currents. Impedance (Z), which is written as a complex number, i.e. Z = R + jX, communicates a component's resistance to both direct current and alternating current. An ideal resistor has an impedance equal to its resistance, where the imaginary component is 0 and the real component is the resistance.

Any form of resistance adds up in series: ZTotal = Z1, Z2, Z3, etc. Although impedances are added in series, because inductive and capacitive impedances in series tend to cancel one another out, the total impedance for a circuit with inductance and capacitance may be smaller than one or more of the individual impedances.

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