Question

state and explain Ampers law ​

Answer 1

$\huge\fcolorbox{black}{aqua}{Solution:-}$

✏️ What is Ampèré's Law?

★ Well, as per the electromagnetism is concerned of, Ampèré's circuital law relates to the integrated magnetic field around a closed loop to the electric current passing through the loop. Taking this into consideration, Ampèré's Law can be stated as:

• "The magnetic field created by an electric current is proportional to the size of that electric current with a constant of proportionality equal to the permeability of the free space".

The equation explaining Ampèré's Law which was finalized as Maxwell's equation is given here by--

$∇ \times H \: = \: \frac{∂D}{∂t} + J \\ \\ [Maxwell's \: equation]$

★ In other words,

According to Ampèré's Law, magnetic fields are related to the electric current produced in them. The law specifies the magnetic field that is associated with a given current or vice-versa, provided that the electric field doesn't change with time.

✏️ What is Ampèré's Circuital law?

★ Ampèré's circuital law can be written as the line integral of the magnetic field surrounding the closed loop equals to the number of times the algebraic sum of current passing through the loop.

[kindly view the formula in the attachment provided above.]

☘️ Explanation:-

★ Suppose a conductor carries current I, then the current flow generates a magnetic field that surrounds the wire.

the equation's left side describes that if an imaginary path encircles the wire and the magnetic field are added at every point, then it numerically equals to the current encircled by this route, indicated by lenc.

___________________________________

I hope this helps! :)

Answer 2

Explanation:

•Ampere’s Law:-

According to Ampere’s law, magnetic fields are related to the electric current produced in them. The law specifies the magnetic field that is associated with a given current or vice-versa, provided that the electric field doesn’t change with time.