Tell if the impedance is complex inductive

Otherwise, it is either real resistive or complex inductive. This convention is based on the relationship between voltage and current in a circuit.
  • #1
Cyrus
3,238
16
question.

One of my HW problems asks the following after you solve it.

Tell if the impedance is complex inductive, capactive, or real resistive.

I said if my answer is of the form, R + 0j it is Real Resistive,

if it is R + N j it is complex Inductive

if it is R - Nj it is complex capacitive.

I said the minus sign on the complex makes it capactive. Is this correct?
 
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  • #2
cyrusabdollahi said:
question.

One of my HW problems asks the following after you solve it.

Tell if the impedance is complex inductive, capactive, or real resistive.

I said if my answer is of the form, R + 0j it is Real Resistive,

if it is R + N j it is complex Inductive

if it is R - Nj it is complex capacitive.

I said the minus sign on the complex makes it capactive. Is this correct?
I think it is just a convention. The convention is to express the reactance as positive if voltage leads current (inductive) and negative if voltage lags current (capacitive). So you are right.

AM
 
  • #3


Yes, your explanation is correct. The minus sign in the complex impedance indicates that the impedance is capacitive. This means that the circuit has a capacitive element, which can store and release electrical energy. In contrast, a positive imaginary component would indicate an inductive element, which can store and release magnetic energy. A purely real impedance would indicate a purely resistive element, which dissipates energy. It is important to consider the complex nature of impedance in order to fully understand the behavior of a circuit.
 

1. What is impedance?

Impedance is a measure of the opposition that an electrical circuit presents to the flow of alternating current (AC). It is represented by the symbol Z and is measured in ohms (Ω).

2. How do you determine if the impedance is complex inductive?

To determine if the impedance is complex inductive, you need to look at the imaginary component of the impedance, represented by the letter j. If the imaginary component is present and positive, then the impedance is complex inductive.

3. What is a complex inductive impedance?

A complex inductive impedance is an impedance that contains both a real and imaginary component. The imaginary component represents the inductive reactance, which is the opposition to the flow of AC caused by inductance in the circuit.

4. How does complex inductive impedance affect electrical circuits?

Complex inductive impedance can affect electrical circuits by causing a phase shift between the voltage and current in the circuit. This can result in a delay or distortion in the waveform, affecting the performance of the circuit. Additionally, complex inductive impedance can also cause power losses in the circuit.

5. How can you measure complex inductive impedance?

Complex inductive impedance can be measured using an impedance analyzer or a vector network analyzer. These instruments send a known AC signal through the circuit and measure the resulting voltage and current, allowing for the calculation of the impedance.

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