- #1
millo
- 2
- 2
- Homework Statement
- My question is how do we know that faraday's law right side is required for all surfaces.
- Relevant Equations
- ∫_c Edl =-d/dt ∫_s Bda
∫_{c} Edl =-d/dt∫_{s}Bda
Faraday's law is a fundamental principle in electromagnetism that describes the relationship between a changing magnetic field and an induced electric field. It states that the magnitude of the induced electric field is proportional to the rate of change of the magnetic field over time.
The RHS, or right-hand side, in Faraday's law refers to the mathematical equation that represents the relationship between the changing magnetic field and the induced electric field. It is written as E = -dΦ/dt, where E is the induced electric field, Φ is the magnetic flux, and t is time.
The RHS is required for all surfaces because Faraday's law applies to any surface that is enclosed by a closed loop. This means that the induced electric field is present on all surfaces, not just the ones that are in direct contact with the changing magnetic field.
The RHS is used in practical applications to calculate the induced electric field in various situations. This is important for understanding and predicting the behavior of electromagnetic devices, such as generators and motors, as well as for studying phenomena such as electromagnetic induction and electromagnetic waves.
There are some exceptions to Faraday's law and the RHS, such as when the magnetic field is constant or when the surface is not completely enclosed by a closed loop. In these cases, the induced electric field may not be present or may be significantly different from what is predicted by the RHS.