Linits to Kirchoff's law
- Thread starter rag
- Start date
Kirchhoff's Laws can be directly derived from Maxwell's Equations, so it should be no surprise that some imitations are those as imposed by Maxwell's Equations (why shouldn't they be?).
I cannot see a limitation of Kirchhoff's Current Law (KCL), since it takes account of both the conduction and displacement currents in Ampere's Law (please prove me wrong if I have misinterpreted this).
There is a limitation of Kirchhoff's Voltage Law (KVL) in the presence of a changing magnetic field, which from Faraday's Law implies a changing electric field which for a closed-loop is not conservative, hence the line integral of the electric field is not zero which is inconsistent with KVL (refer to the integral form of Faraday's Law for an easy way to visualise this idea: ∫E.dl ≠ 0). Additionally, there are issues with the transfer of energy from the magnetic field to the electric field for which a fudge has to be introduced to KVL to make the potential differences around the circuit equal to zero.
Dave
I cannot see a limitation of Kirchhoff's Current Law (KCL), since it takes account of both the conduction and displacement currents in Ampere's Law (please prove me wrong if I have misinterpreted this).
There is a limitation of Kirchhoff's Voltage Law (KVL) in the presence of a changing magnetic field, which from Faraday's Law implies a changing electric field which for a closed-loop is not conservative, hence the line integral of the electric field is not zero which is inconsistent with KVL (refer to the integral form of Faraday's Law for an easy way to visualise this idea: ∫E.dl ≠ 0). Additionally, there are issues with the transfer of energy from the magnetic field to the electric field for which a fudge has to be introduced to KVL to make the potential differences around the circuit equal to zero.
Dave
