Circuit analysis, determing impendance.

In summary, the conversation is about finding the impedance of a circuit using the equation \frac{1}{Z_eq}=\frac{1}{Z_1}+\frac{1}{Z_2} and the attempt at solving it using the equations Z=R and Z=\frac{1}{i \omega C}. The person initially gets the wrong answer but later realizes their Laplace transformation was incorrect and is able to find the correct answer. The other person provides confirmation and the conversation concludes with gratitude for the help.
  • #1
Kruum
220
0

Homework Statement



I need to find the impedance of the following circuit:
1zsysg.jpg


Homework Equations



[tex]\frac{1}{Z_eq}=\frac{1}{Z_1}+\frac{1}{Z_2}[/tex]
[tex]Z=R[/tex]
[tex]Z=\frac{1}{i \omega C}[/tex]

The Attempt at a Solution



This should be really simple, but I seem to have some troubles. So: [tex]\frac{1}{R}+i \omega C=\frac{1+i \omega CR}{R}[/tex] and then [tex]Z_eq=\frac{R}{1+i \omega CR}[/tex]. But the answer seems to be wrong.
 
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  • #2
That's the answer I got when I calculated it. I tried it with test values it was consistent. Why do you think it's wrong?
 
  • #3
mplayer said:
That's the answer I got when I calculated it. I tried it with test values it was consistent. Why do you think it's wrong?

As I said this should be really simple, I just get the wrong answer for the calculation, that this impedance is part of. Maybe it helps if I post the whole problem?

Edit: I found out my Laplace tranformation for the circuit was wrong. I got the right answer now. Thank you.
 
Last edited:
  • #4
Sorry I couldn't help more. Glad you figured it out :biggrin:
 
  • #5
You did plenty enough. I was sure the problem was there, but your confirmation made go trough every step. Thank for the help!
 

Related to Circuit analysis, determing impendance.

1. What is circuit analysis?

Circuit analysis is the process of analyzing the behavior of electrical circuits to determine voltage, current, and power using mathematical methods and principles.

2. Why is circuit analysis important?

Circuit analysis is important because it allows us to understand how electrical components and systems work, and to predict their behavior in different scenarios. This is essential for designing and troubleshooting circuits.

3. What is impedance in circuit analysis?

Impedance is a measure of the opposition that a circuit presents to the flow of alternating current (AC). It is a combination of resistance, capacitance, and inductance and is denoted by the symbol Z.

4. How is impedance calculated in circuit analysis?

Impedance can be calculated using Ohm's law, which states that impedance (Z) is equal to the ratio of voltage (V) to current (I). Z = V/I. However, in more complex circuits, impedance can also be calculated using complex numbers and the principles of phasor analysis.

5. What are the applications of circuit analysis?

Circuit analysis has numerous applications in various fields, including electrical engineering, electronics, telecommunications, and computer hardware design. It is also used in industries such as power generation and distribution, automotive, aerospace, and medical equipment.

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