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QJEEM23Ph77c6: JEE Main 2023 Physics - Class 12 JEEM23Ph77c6 Solution: Which of the following Maxwell's equation is valid for time…
Which of the following Maxwell's equation is valid for time varying conditions but not valid for static conditions :
Multiple Choice Options
- A ∮E→⋅dl→=0
- B ∮B→⋅dl→=μ0I
- C ∮E→⋅dl→=−∂ϕB∂t
- D ∮D→⋅dA→=Q
Step-by-Step Verified Solution
Maxwell's equations describe the behavior of electric and magnetic fields. There are four equations, and each has a specific role. In the given options, Option C refers to Faraday's Law of Electromagnetic Induction, which is the only equation among the options that is not valid for static conditions.
Option C: Faraday's Law of Electromagnetic Induction:
This equation states that a time-varying magnetic field (changing magnetic flux, ) induces an electromotive force (EMF) in a closed conducting loop, creating an electric field. In static conditions, the magnetic field doesn't change over time, and there is no induced EMF. Therefore, Faraday's Law is valid for time-varying conditions but not for static conditions.
Option C: Faraday's Law of Electromagnetic Induction:
This equation states that a time-varying magnetic field (changing magnetic flux, ) induces an electromotive force (EMF) in a closed conducting loop, creating an electric field. In static conditions, the magnetic field doesn't change over time, and there is no induced EMF. Therefore, Faraday's Law is valid for time-varying conditions but not for static conditions.