$$ \text { Match List - I with List - II. } $$
| List - I Relation |
List - II Law |
||
|---|---|---|---|
| A. | $$ \oint \vec{E} \cdot \overrightarrow{d l}=-\frac{d}{d t} \oint \vec{B} \cdot \overrightarrow{d a} $$ |
I. | Ampere's circuital law |
| B. | $$ \oint \vec{B} \cdot \overrightarrow{d l}=\mu_0\left(I+\epsilon_0 \frac{d \phi_E}{d t}\right) $$ |
II. | Faraday's laws of electromagnetic induction |
| C. | $$ \oint \vec{E} \cdot \overrightarrow{d a}=\frac{1}{\epsilon_0} \int_{\mathrm{v}} \rho \mathrm{dv} $$ |
III. | Ampere - Maxwell law |
| D. | $$ \oint \vec{B} \cdot \overrightarrow{d l}=\mu_0 I $$ |
IV. | Gauss's law of electrostatics |
Choose the correct answer from the options given below :
A laser beam has intensity of $4.0 \times 10^{14} \mathrm{~W} / \mathrm{m}^2$. The amplitude of magnetic field associated with beam is $\_\_\_\_$ T.
(Take $\epsilon_{\mathrm{o}}=8.85 \times 10^{-12} \mathrm{C}^2 / \mathrm{Nm}^2$ and $\mathrm{c}=3 \times 10^8 \mathrm{~m} / \mathrm{s}$ )
The electric field in a plane electromagnetic wave is given by :
$$ E_y=69 \sin \left[0.6 \times 10^3 x-1.8 \times 10^{11} t\right] \mathrm{V} / \mathrm{m} . $$
The expression for magnetic field associated with this electromagnetic wave is $\_\_\_\_$ T.
The unit of $\sqrt{\frac{2I}{\varepsilon_0 c}}$ is :
(I = intensity of an electromagnetic wave, c = speed of light)
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