How do you calculate the impedance of the primary circuit?

Thread starter Andrei0408
Start date May 13, 2021
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Circuit Impedance

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SUMMARY

The discussion centers on calculating the impedance (Z1) of the primary circuit using mutual inductance (M). The mutual inductance was calculated as M=U2/(ω*I1), yielding a value of 106.3μH. The participant seeks a formula to derive Z1, indicating a need for clarity on the secondary circuit's connection. Understanding the relationship between mutual inductance and impedance is crucial for accurate calculations.

PREREQUISITES

Understanding of mutual inductance and its calculation
Familiarity with impedance in electrical circuits
Knowledge of angular frequency (ω) and current (I1)
Basic principles of circuit analysis

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Electrical engineers, circuit designers, and students studying electromagnetic theory who need to calculate impedance in circuits involving mutual inductance.

May 13, 2021

Andrei0408

Homework Statement: I have an assignment that I need to do regarding magnetically coupled coils, but I'm stuck at a point. If we know the following: f=5000Hz, the distance between coils, x=20mm, the voltages U1=3.18V U2=336mV, the current I1=100.6mA, N1=250, N2=1000, how can I calculate the impedance of the primary circuit, Z1? I've looked it up online but I can't find any formulas with these particular given data. Any ideas?

Relevant Equations: M = U2/(ω*I1)

I'm not sure if it helps for what I'm looking, but I've calculated the mutual inductance, M, using the equation: M=U2/(ω*I1) = 106.3μH. I don't need the numerical value in particular, I just want to find a way to deduce the formula in order to calculate Z1. Thank you!

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May 14, 2021

tech99

Science Advisor

Gold Member

Do we know what the secondary is connected to?

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