Q79 / 90 · JEE Main 2023 (13 Apr Shift 1) · Physics

Which of the following Maxwell’s equation is valid for time varying conditions but not valid for static conditions:

  • A
    ∮B→·dl→=μ0I
  • B
    ∮E→·dl→=0
  • C
    ∮D→·dA→=Q
  • Correct answer
    D
    ∮E→·dl→=-∂ϕB∂t

Solution

Maxwell’s four equations describe the electric and magnetic fields arising from distributions of electric charges and currents, and how those fields change in time.

The equations are as follows:

∮E→·dA→=qε0   ...1∮B⇀·dA⇀=0   ...2∮E⇀·dl⇀=-∂ϕB∂t   ...3∮B⇀·dl⇀=μ0I   ...4

From the above set of equations, it is clear that only the third equation is valid for time varying field.

Hence, this is the correct option.

Hence, the correct answer is option: 'D'.

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