physics-class-12-unit-08-chapter-02-concept-of-waves-and-electromagnetic-waves-l-2-4-wuyqv7betdw

### <Success style="font-size:25px"> Concept Of Waves And Electromagnetic Waves L-2 </Success>
### <primary style="font-size:24px"> Maxwell's Equations </primary>
<hr>
<main>

- $\oint \vec{E}.\vec{dA}=\frac{Q_{enc}}{\epsilon_0}$

- $\oint \vec{B}.\vec{dA}=0$

- $\oint \vec{E}.\vec{dl}=-\frac{d}{dt} \phi_B = -\frac{d}{dt}\int \vec{R}.\vec{dA}$

- $\oint \vec{B}.\vec{dl}=\mu I+\mu_0 \epsilon_0 \frac{d}{dt} \int \vec{E}.\vec{dA}$

</div>
<div style='float: right; width:0%;'>

![image](https://temp-public-img-folder.s3.ap-south-1.amazonaws.com/sathee.prutor.images/subject-images/iitpal/image/physics-class-12-unit-08-chapter-02-concept-of-waves-and-electromagnetic-waves-l-2_4-wuyqv7betdw-081-0451.2.jpg)

</main>
<hr>
<footer style = "font-size: 18px"> $\rightarrow$ Electromagnetic Waves $\rightarrow$ <span style = "color:blue"> Maxwell's Equations </span> $\rightarrow$ Maxwell's Equations $\rightarrow$ Displacement Current </footer>

### <Success style="font-size:25px"> Concept Of Waves And Electromagnetic Waves L-2 </Success>
### <primary style="font-size:24px"> Displacement Current </primary>
<hr>
<main>

- $\oint \vec{E}.d \vec{l}=-\frac{d \phi_B}{dt}$

- $\oint \vec{E}.d \vec{l}=\mu_0 I +\mu_0 \epsilon_0 \frac{d}{dt} \phi_E$

- <span style="color:green">Displacement Current</span>

</div>
<div style='float: right; width:50%;'>

</main>
<hr>
<footer style = "font-size: 18px">Maxwell's Equations $\rightarrow$ Maxwell's Equations $\rightarrow$ <span style = "color:blue"> Displacement Current </span> $\rightarrow$ In Free Space $\rightarrow$ Waves on a String </footer>

### <Success style="font-size:25px"> Concept Of Waves And Electromagnetic Waves L-2 </Success>
### <primary style="font-size:24px"> Sinusoidal Waves </primary>
<hr>
<main>

- $y(x, t)=A \sin (kx- \omega t)$

* A : Amplitude of the wave $(kx- \omega t)$, phase of in wave

- At A = 0

- $y(x, t=0)= A \sin kx$

- $t=0$

</div>
<div style='float: right; width:50%;'>

</main>
<hr>
<footer style = "font-size: 18px">In Free Space $\rightarrow$ Waves on a String $\rightarrow$ <span style = "color:blue"> Sinusoidal Waves </span> $\rightarrow$ Wave Number $\rightarrow$ Wave Number </footer>

### <Success style="font-size:25px"> Concept Of Waves And Electromagnetic Waves L-2 </Success>
### <primary style="font-size:24px"> Propagative Wave </primary>
<hr>
<main>

- $y(x_1 t)= A \sin (kx- \omega t)$

- At t = 0; y(x_1 t) = $A \sin kx$

- At = t; y(x_1 t) = $A \sin (kx - \omega t)$

</div>

</main>
<hr>
<footer style = "font-size: 18px">Angular Frequency $\rightarrow$ Angular Frequency $\rightarrow$ <span style = "color:blue"> Propagative Wave </span> $\rightarrow$ Velocity and Propagative Wave $\rightarrow$ Velocity and Propagative Wave </footer>

### <Success style="font-size:25px"> Concept Of Waves And Electromagnetic Waves L-2 </Success>
### <primary style="font-size:24px"> Velocity and Propagative Wave </primary>
<hr>
<main>

- $kx_1 - \omega t_1=0$
- $kx_1 = \omega t_1$
- $\frac{x_1}{t_1}=\frac{\omega}{k}$

- <span style="color:green">Velocity of the wave</span> = $\frac{\omega}{k}$

- $=\frac{2 \pi v}{2 \pi / \lambda}$
- $=v/ \lambda$
- $v=v \lambda$

- <span style="color:green">Propagative Wave</span>

- $y(x_1 t)= A \sin (kx- \omega t)$

- At t = 0; y(x_1 t) = $A \sin kx$

- At = t; y(x_1 t) = $A \sin (kx - \omega t)$

</div>
<div style='float: right; width:50%;'>

</main>
<hr>
<footer style = "font-size: 18px">Angular Frequency $\rightarrow$ Propagative Wave $\rightarrow$ <span style = "color:blue"> Velocity and Propagative Wave </span> $\rightarrow$ Velocity and Propagative Wave $\rightarrow$ Velocity and Propagative Wave </footer>

### <Success style="font-size:25px"> Concept Of Waves And Electromagnetic Waves L-2 </Success>
### <primary style="font-size:24px"> Sinusoidal Waves </primary>
<hr>
<main>

- <span style="color:green">Electromagnetic waves</span>

- $\vec{E}=\hat{i} E_0 \sin (kz- \omega t)$

- $\vec{B}=\hat{j} B_0 \sin (kz- \omega t)$

- $k=\frac{2 \pi}{\lambda}$

* $\lambda :$ Wavelength of the electromagnetic wave

- $\omega = 2 \pi v$

* $v :$ Frequency of the electromagnetic wave
- $=\frac{\omega}{k}$

</div>

</main>
<hr>
<footer style = "font-size: 18px">Electromagnetic Waves $\rightarrow$ Electromagnetic Waves $\rightarrow$ <span style = "color:blue"> Sinusoidal Waves </span> $\rightarrow$ The Electromagnetic Spectrum $\rightarrow$ Thank You </footer>

### <Success style="font-size:25px"> Concept Of Waves And Electromagnetic Waves L-2 </Success>
### <primary style="font-size:24px"> The Electromagnetic Spectrum </primary>
<hr>
<main>

- Frequencies of various electromagnetic waves

- $\Rightarrow$ Increasing frequencies & decreasing wavelength

</div>
<div style='float: right; width:40%;'>

</main>
<hr>
<footer style = "font-size: 18px">Electromagnetic Waves $\rightarrow$ Sinusoidal Waves $\rightarrow$ <span style = "color:blue"> The Electromagnetic Spectrum </span> $\rightarrow$ Thank You $\rightarrow$  </footer>