**Title: Analysis of Magnetic Field in an Infinitely Long Current-Carrying Cylinder****Objective:**To determine the magnetic field (\(\mathbf{H}\)) inside and outside an infinitely long cylinder that carries current, and calculate the curl of \(\mathbf{H}\) in both scenarios.**Problem Description:**Consider an infinitely long cylinder aligned along the z-axis. The cylinder has a radius \(a\) and carries a current characterized by the current density \(\mathbf{J} = \frac{I}{\rho} \mathbf{a}_z\), where \(I\) is the current carried by the cylinder and \(\rho\) represents the radial distance from the axis.**Questions to Address:**a. Determine the magnetic field \(\mathbf{H}\) outside the cylinder.b. Calculate the magnetic field \(\mathbf{H}\) inside the cylinder.c. Find the curl of the magnetic field, \(\nabla \times \mathbf{H}\), for both scenarios (a and b).**Approach:**- Apply Ampère's Law to find the expressions for the magnetic field in the required regions.- Use the right-hand rule to determine the direction of the magnetic field.- Evaluate \(\nabla \times \mathbf{H}\) using vector calculus.**Outcome:**The analysis will assist in understanding how the distribution of current affects the surrounding magnetic field in an infinite cylindrical conductor, which is a fundamental concept in electromagnetism with applications in designing devices like solenoids and inductors.

Infinitely long cylinder,Placed along z-axis.radius of the cylinder = acarries current with current density Find out the given subparts ? Using the Ampere's Law:Inside the cylinder, outside the cylinder:inside the cylinder:refer the above steps

Answered: An infinitely long cylinder is placed…

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An infinitely long cylinder is placed along the 2-axis. Assume the cylinder is of radins a and carries current with current density = 1 az P Find outside the cylinder Find A inside the cylinder.