Electromagnetic Induction

The first and second laws weren't created together and have a gap of many years between them. Earlier, he just found out a way to calculate whether the EMF was produced or not. But with time, its direction and magnitude also needed to be calculated which resulted in him giving a second law to support his belief.

Faraday's first law only tells us if the EMF is induced or not. Unlike the second law, it doesn't have any connection with the EMF's magnitude or direction. Therefore, only the second law of faraday has a formula since it is used to calculate both the magnitude and direction of the induced EMF.

The actual role of these laws is that faraday's law tells us the magnitude of induced EMF and Lenz's law was a modification of faraday which also could tell the direction of induced EMF. These two laws are combined together to form the base of any concept related to electromagnetic induction.

This is because the original formula of magnetic flux is a dot product. As a result, the cos? in the formula appears when we remove the dot product of the formula. This cos? signifies that the direction of magnetic flux should always be perpendicular if its value is zero.

The key difference between both these terms is that magnetic flux density is the magnetic field in a particular unit area. Whereas, magnetic flux is the quantity of magnetic field in a particular space. Magnetic flux is a scalar quantity whereas magnetic flux density is a vector quantity.

Their connection with each other is established as a result of Faraday's law of induction. This law states that a change in the magnetic field can produce electricity. This is due to the production of an electromotive force from the loop which results in the generation of electricity.

From Lenz law, current in the square loop will be in anticlockwise sense.

^{$e=\left|\frac{d?}{dt}\right|=4t+8$}

^{$\Rightarrow i=\frac{e}{R}=\frac{4t+8}{4}=t+2$}

^{$\Rightarrow$ Heat produced (H)= ${\displaystyle \underset{0}{\overset{2}{\int }}{i}^{2}Rdt}$}

^{$\Rightarrow H=4\lfloor \frac{8}{3}+8+8\rfloor =\frac{224}{3}J$}

Here are a few factors which are not responsible for affecting the motional EMF:

• Resistance
• Temperature
• Material
• Shape and Mass
• Electron Flow