Induced Voltage on straight conductor simulation vs. calculation

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Dear community,

I am currently in the early stages of learning COMSOL Multiphysics and have been working on a simple problem to calculate the induced voltage in a straight conductor.

Problem setup:

A copper conductor with dimensions:

  • Side length: 0.01 m
  • Length: 0.1 m

Placed in an air domain:

  • Air domain of 1m × 1m × 1m
  • Exposed to a time-varying magnetic field with dB/dt = 1 mT/s

I am using Magnetic fields physics (mf) and Time dependent simulation.

According to Faraday’s Law, the expected induced voltage should be:

However, when I perform a line integration of mf.normE over one edge of the conductor, I obtain a result of 1.25 µV, which is significantly lower than expected.

I would appreciate any insights into what might be causing this discrepancy. I include the .mph file.

Thanks in advance for your help!



1 Reply Last Post 2025/02/21 20:12 JST
Sven Friedel COMSOL Employee

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Posted: 5 months ago 2025/02/21 20:12 JST
Updated: 5 months ago 2025/02/21 20:12 JST

Hi ,

B has the unit [Vs/m^2] . The induced voltage is obtained by integrating the flux change over an area, not along a line.

So your integral gives you 100 uV/m, not 100 uV.

Best regards Sven

Hi , B has the unit [Vs/m^2] . The induced voltage is obtained by integrating the flux change over an area, not along a line. So your integral gives you 100 uV/m, not 100 uV. Best regards Sven

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