List I | List II | ||
A | \( \oint \vec{E} \cdot d \vec{A}=\frac{Q}{\varepsilon_0}\) | I | Ampere-Maxwell's Law |
B | \( \oint \vec{B} \cdot d \vec{A}=0 \) | II | Faraday's Law |
C | \( \oint \vec{E} \cdot \overrightarrow{d I}=\frac{-d(\phi)}{d t} \) | III | Gauss Law of electrostatics |
D | \( \oint \vec{B} \cdot \overrightarrow{d l}=\mu_0 i_c+ \mu_0 \varepsilon_0 \frac{d\left(\phi_E\right)}{d t}\) | IV | Gauss law of magnetism |
1. | the energy density in electric field is equal to energy density in magnetic field. |
2. | they travel with a speed equal to \(\frac{1}{\sqrt{\mu_0~ \epsilon_0}} .\) |
3. | they originate from charges moving with uniform speed. |
4. | they are transverse in nature. |
1. | displacement current of magnitude equal to \(i\) flows in the same direction as \(i\). |
2. | displacement current of magnitude equal to \(i\) flows in a direction opposite to that of \(i\). |
3. | displacement current of magnitude greater than \(i\) flows but can be in any direction. |
4. | there is no current. |
1. | \(3 \times 10^{-8} \text{cos}\left(1.6 \times 10^3 x+48 \times 10^{10} t\right) \hat{i}~\text{ V/m}\) |
2. | \(3 \times 10^{-8} \text{sin} \left(1.6 \times 10^3 {x}+48 \times 10^{10} {t}\right) \hat{{i}}~ \text{V} / \text{m}\) |
3. | \(9 \text{sin} \left(1.6 \times 10^3 {x}-48 \times 10^{10} {t}\right) \hat{{k}} ~~\text{V} / \text{m}\) |
4. | \(9 \text{cos} \left(1.6 \times 10^3 {x}+48 \times 10^{10} {t}\right) \hat{{k}}~~\text{V} / \text{m}\) |
An electromagnetic wave is moving along negative \(\text{z (-z)}\) direction and at any instant of time, at a point, its electric field vector is \(3\hat j~\text{V/m}\). The corresponding magnetic field at that point and instant will be: (Take \(c=3\times10^{8}~\text{ms}^{-1}\) )
1. | \(10\hat i~\text{nT}\) | 2. | \(-10\hat i~\text{nT}\) |
3. | \(\hat i~\text{nT}\) | 4. | \(-\hat i~\text{nT}\) |