Understanding Equivalent Impedance in a Bridge Circuit | Homework Help

In summary, The conversation is about solving a circuit with equivalent resistance in a bridge configuration. The textbook suggests putting R3 and ZL2 in series and then solving the circuit, while the person asking the question suggests putting R3 in parallel with ZL2. They both agree that the final impedance to calculate is between terminals A and B.
  • #1
Domenico94
130
6

Homework Statement


Hi everyone, I'm just having a little trouble with equivalent resistance in a bridge, in the image I attached. The textbook says that the way to solve this is to put R3 and ZL2 in series, that series is in parallel to the short circuit in diagonal, and then at the end we have a parallel between:

1 Zc

2 The series between R1 and the parallel zl1 and R2.

The point is, I can't understand why it puts zl2 and r3 in series, when they're divided by a clamp.


2. Homework Equations

The Attempt at a Solution


My reasoning was, instead, to put R3 in parallel with zl2. We have a parallel also between Zl1 and R2. Then we solve the circuit with the usual methods
Resistenze.png
Resistenze.png
Resistenze.png
 
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  • #2
Your approach looks better. Presuming that you want the equivalent impedance between terminals A and B, then R3 and ZL2 cannot be in series since terminal B attaches to one node where they join, and several other components meet at the other node where they join.
 
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Likes Domenico94
  • #3
Yes, the impedance that I have to calculate is between the terminals A and B
 

Related to Understanding Equivalent Impedance in a Bridge Circuit | Homework Help

1. What is equivalent impedance in a bridge circuit?

Equivalent impedance in a bridge circuit refers to the total impedance of the circuit as seen from a specific point. It takes into account all the individual impedances in the circuit and calculates the total resistance, inductance, and capacitance. It is used to simplify complex circuits and analyze their behavior.

2. How is equivalent impedance calculated in a bridge circuit?

Equivalent impedance is calculated using a mathematical formula that takes into account the individual impedances in the circuit. For resistors, the formula is Z=R, for inductors it is Z=jωL, and for capacitors it is Z=1/jωC. These individual impedances are then combined using the appropriate rules for series and parallel circuits to calculate the total equivalent impedance.

3. What is the significance of equivalent impedance in a bridge circuit?

Equivalent impedance is significant because it allows us to analyze the behavior of complex circuits and make predictions about their performance. It also helps us to design and optimize circuits for specific purposes by adjusting the individual impedances to achieve a desired equivalent impedance.

4. How does equivalent impedance affect the performance of a bridge circuit?

The equivalent impedance of a bridge circuit affects its performance in a number of ways. It determines the amount of current that can flow through the circuit, the voltage drop across each component, and the overall power dissipation. Equivalent impedance also plays a role in determining the resonance frequency of a circuit and can affect its bandwidth and frequency response.

5. What are some practical applications of understanding equivalent impedance in a bridge circuit?

Understanding equivalent impedance in a bridge circuit has many practical applications in engineering and science. It is used in the design and analysis of electronic circuits, power systems, and communication networks. It is also important in fields such as signal processing, audio engineering, and control systems. Additionally, equivalent impedance is crucial in troubleshooting and diagnosing problems in circuits and can help to optimize their performance.

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