JEE Mains · Physics · STD 12 - Electromagnetic waves
- JEE Mains 2024
- Medium
- MCQ
Match List\(-I\) with List\(-II\).
| List\(-I\) | List\(-II\) |
| \(A\). Gauss's Law in Electrostatics | \(I\). \(\oint \vec{E} \cdot d \vec{l}=-\frac{d \phi_B}{d t}\) |
| \(B\). Faraday's Law | \(II\). \(\oint \overrightarrow{ B } \cdot d \overrightarrow{ A }=0\) |
| \(C\). Gauss's Law in Magnetism | \(III\). \(\oint \vec{B} \cdot d \vec{l}=\mu_0 i_C+\mu_0 \in_0 \frac{d \phi_E}{d t}\) |
| \(D\). Ampere-Maxwell Law | \(IV\). \(\oint \overrightarrow{ E } \cdot d \overrightarrow{ s }=\frac{ q }{\epsilon_0}\) |
Pick an option to check your answer.
Answer & Solution
Correct Answer
(A) \(A-IV, B-I, C-II, D-III\)
Step-by-step Solution
Detailed explanation
Gauss's Law of electrostatic
\(\phi=\oint \overrightarrow{ E } \cdot d \overrightarrow{ s }=\frac{ q }{\epsilon_0}\)
Faraday's law \(\oint \vec{E} \cdot d \vec{l}=\frac{-d \phi_B}{d t}\)
Gauss's law of magnetism \(\oint \overrightarrow{ B } \cdot d \overrightarrow{ A }=0\)
Ampere's Maxwell law
\(\oint \vec{B} . d \vec{l}=\mu_0 i_C+\mu_0 \in_0 \frac{d \phi_E}{d t}\)
Where, \(i_{ C }\) : Conduction current \(\epsilon_0 \frac{ d \phi_{ E }}{ dt }\) : Displacement current
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