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Match List I and List II

A Gauss’s Law in Electrostatics   I E·dl=-dϕBdt
B Faraday's Law II B·dA=0 
C Gauss’s Law in Magnetism III B·dl=μ0ic+μ00dϕEdt
D Ampere-Maxwell Law IV E·ds=q0

Choose the correct answer from the options given below :

PhysicsElectromagnetic WavesJEE MainJEE Main 2023 (25 Jan Shift 2)
Options:
  • A A-IV, B-I, C-II, D-III
  • B A-I, B-II, C-III, D-IV
  • C A-III, B-IV, C-I, D-II
  • D A-II, B-III, C-IV, D-I
Solution:
2917 Upvotes Verified Answer
The correct answer is: A-IV, B-I, C-II, D-III

(A) Gauss law states that the total electric flux out of a closed surface is equal to the charge enclosed divided by the permittivity. So, ϕ=E·ds=q0

(B) Faraday’s law explains that the direction of the current will be opposite to the direction of flux that produced it, so E·dl=-dϕBdt

(C) Gauss's law for magnetism states that the magnetic flux B across any closed surface is zero, so B·dA=0

(D) Ampere’s Maxwell law is stated as 

B·dl=μ0ic+μ00dϕEdt

Where ic=Conduction current and 

0dϕEdt=Displacement current

Thus, A-IV, B-I, C-II, D-III

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