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BITSAT 2023Paper 1
Exam
BITSAT
Year
2023
Paper
Paper 1
Subject
Physics
Chapter
Electromagnetic Waves

BITSAT 2023 · Paper 1 · Physics · Electromagnetic Waves

Which of the following Maxwell's equations is valid for time...

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

Options

  1. A∮B→⋅dl→=μ0I\oint \overrightarrow{\mathrm{B}} \cdot \overrightarrow{\mathrm{dl}}=\mu_0 \mathrm{I}
  2. B∮E→⋅dl→=0\oint \overrightarrow{\mathrm{E}} \cdot \overrightarrow{\mathrm{dl}}=0
  3. C∮E→⋅dl→=−∂ϕB∂t\oint \overrightarrow{\mathrm{E}} \cdot \overrightarrow{\mathrm{dl}}=-\frac{\partial \phi_{\mathrm{B}}}{\partial \mathrm{t}}
  4. D∮D→⋅dA→=Q\oint \overrightarrow{\mathrm{D}} \cdot \overrightarrow{\mathrm{dA}}=\mathrm{Q}

Correct answer

C. ∮E→⋅dl→=−∂ϕB∂t\oint \overrightarrow{\mathrm{E}} \cdot \overrightarrow{\mathrm{dl}}=-\frac{\partial \phi_{\mathrm{B}}}{\partial \mathrm{t}}

Step-by-step solution

For time varying condition Maxwell's equation, ∮E→⋅dl→=−dϕBdt\oint \overrightarrow{\mathrm{E}} \cdot \overrightarrow{\mathrm{dl}}=-\frac{\mathrm{d} \phi_{\mathrm{B}}}{\mathrm{dt}}
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