physics-class-12-unit-06-chapter-01-electromagnetic-induction-electromagnetic-induction-l-1-4-yh8qvw4xjjs

### <Success style="font-size:25px"> Electromagnetic Induction Electromagnetic Induction L-1 </Success>
### <primary style="font-size:24px"> Introduction </primary>
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- Electromagnetic, electrochemistry

- Diamagnetics

- Excellant experiment

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<footer style = "font-size: 18px"> $\rightarrow$ Electromagnetic Induction $\rightarrow$ <span style = "color:blue"> Introduction </span> $\rightarrow$ Solenoid(Electromagnet) $\rightarrow$ Properties </footer>

### <Success style="font-size:25px"> Electromagnetic Induction Electromagnetic Induction L-1 </Success>
### <primary style="font-size:24px"> Properties </primary>
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- Moving a magnet near a coil generats a current in the coil.

- Moving the coil in front of a magnet generats a current in the coil.

- The direction of current depends on the movement towards or away.

- Placing another coil nearby and changing current through the coil generats a current.

- Faraday's law of induction.

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<footer style = "font-size: 18px">Introduction $\rightarrow$ Solenoid(Electromagnet) $\rightarrow$ <span style = "color:blue"> Properties </span> $\rightarrow$ Induced Current $\rightarrow$ Induced Current </footer>

### <Success style="font-size:25px"> Electromagnetic Induction Electromagnetic Induction L-1 </Success>
### <primary style="font-size:24px"> Magnetic Flux </primary>
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- $\vec B$ : **Magnetic field**

- $\Phi_B = \int_s \vec B . {d \vec A}$

- **S = Surface**

- $\oint \vec B . {d \vec A}$ = 0

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<footer style = "font-size: 18px">Induced Current $\rightarrow$ Faraday's Law of Induction $\rightarrow$ <span style = "color:blue"> Magnetic Flux </span> $\rightarrow$ Faraday's Law $\rightarrow$ Lenz's Law </footer>

### <Success style="font-size:25px"> Electromagnetic Induction Electromagnetic Induction L-1 </Success>
### <primary style="font-size:24px"> Faraday's Law </primary>
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- Changing magnetic flux induces an electromotive force (EMF)

- $(EMF) \varepsilon =-\frac{d \Phi_B}{d t} = -\frac{d}{d t}[\int \vec{B} \cdot d \vec{A}]$

- $\varepsilon =\oint_c \vec{E} \cdot \vec{dl}$

- **$\vec{E}$: Electric Field**

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<footer style = "font-size: 18px">Faraday's Law of Induction $\rightarrow$ Magnetic Flux $\rightarrow$ <span style = "color:blue"> Faraday's Law </span> $\rightarrow$ Lenz's Law $\rightarrow$ Lenz's Law </footer>

### <Success style="font-size:25px"> Electromagnetic Induction Electromagnetic Induction L-1 </Success>
### <primary style="font-size:24px"> Lenz's Law </primary>
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* Electrostatic field $\oint \vec{\varepsilon} .\vec{d l}$
 
* Electric field E : 
 
* EMF ${\varepsilon} =\oint_c \vec{\varepsilon}. \vec{d l}$

- **Lenz's Law**
 
- Whenever a change produce an electric current, the direction of the induced current is so as to produce effects opposing the change.

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<footer style = "font-size: 18px">Magnetic Flux $\rightarrow$ Faraday's Law $\rightarrow$ <span style = "color:blue"> Lenz's Law </span> $\rightarrow$ Lenz's Law $\rightarrow$ Magnetic Flux </footer>

### <Success style="font-size:25px"> Electromagnetic Induction Electromagnetic Induction L-1 </Success>
### <primary style="font-size:24px"> Lenz's Law </primary>
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- $\varepsilon=\oint_c \vec{\varepsilon} \cdot \vec{dl}=-\frac{d}{d t} \int_s \vec{B} \cdot {d \vec A}$

- **C** : Path of integration

- **S** : Surface with path C as boundary

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<footer style = "font-size: 18px">Faraday's Law $\rightarrow$ Lenz's Law $\rightarrow$ <span style = "color:blue"> Lenz's Law </span> $\rightarrow$ Magnetic Flux $\rightarrow$ EMF </footer>

### <Success style="font-size:25px"> Electromagnetic Induction Electromagnetic Induction L-1 </Success>
### <primary style="font-size:24px"> Magnetic Flux </primary>
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- Magnetic flux ${\Phi}_B=\int \vec{B} \cdot d \vec{A}>0$

- If B increase with time then = $ \frac{d {\Phi}_B}{d t}>0$

- $\Rightarrow \varepsilon=-\frac{d {\Phi}_0}{d t}<0$

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<footer style = "font-size: 18px">Lenz's Law $\rightarrow$ Lenz's Law $\rightarrow$ <span style = "color:blue"> Magnetic Flux </span> $\rightarrow$ EMF $\rightarrow$ Moving Magnet </footer>

### <Success style="font-size:25px"> Electromagnetic Induction Electromagnetic Induction L-1 </Success>
### <primary style="font-size:24px"> Moving Magnet </primary>
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- $\Phi_B=\int \vec{B} \cdot d \vec{A}>0$

- Magnet moving towards coil

- $\Rightarrow \Phi_B$ increases with time
- $\frac{d {\Phi}_B}{d t}>0$

- $\varepsilon = -\frac{d {\Phi}_B}{d t}>0$
- Induced current

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<footer style = "font-size: 18px">Magnetic Flux $\rightarrow$ EMF $\rightarrow$ <span style = "color:blue"> Moving Magnet </span> $\rightarrow$ Induced Current $\rightarrow$ Thank You </footer>