Current density in a cylindrical wire of radius R is gives as
`{{:(J_(0)((X)/(R)-1)"for "0lexlt(R)/(2),),(J_(0)(X)/(R)" ""for"(R)/(2)leXleR,):}` . The current flowing in the wire is

The current density is a solid cylindrical wire a radius R, as a function of radial distance r is given by J(r )=J_(0)(1-(r )/(R )) . The total current in the radial regon r = 0 to r=(R )/(4) will be :

A cylindrical wire of radius R has current density varying with distance r form its axis as J(x)=J_0(1-(r^2)/(R^2)) . The total current through the wire is

The current density in a cylindrical conductor of radius R varies according to the equation J=J_(0)(1-r/R) , where r=distacnce from the axis. Thus the current density is a maximum J_(0) ata the axis r=0 and decreases linealy to zero at the srface r=2/sqrtpi . Current in terms of J_(0) is given by n(J_(0)/6) then value of n will be.

The current density across a cylindrical conductor of radius R varies in magnitude according to the equation J = J_0(1 - (r )/(R )) where r is the distance from the central axis. Thus, the current density is a maximum J_0 at that axis (r = 0) and decreases linearly to zero at the surface (r = R). Calculate the current in terms of J_0 and the conductor 's cross - sectional area A = piR^2 .

An infinite cylindrical wire of radius R and having current density varying with its radius r as, J = J_(0)[1-(r//R)] . Then answer the following questions. Graph between the magnetic field and radius is

An infinite cylindrical wire of radius R and having current density varying with its radius r as, J = J_(0)[1-(r//R)] . Then answer the following questions. Position where magnetic field strength is maximum.

An infinite cylindrical wire of radius R and having current density varying with its radius r as, J = J_(0)[1-(r//R)] . Then answer the following questions. Magnitude of maximum magnetic field is

A current is flowing through a cylinderical conductor of radius R, such that current density at any cross-section is given by J = J_(0)(1-(r )/(R )) , where r is radial distance from axis of the cylinder .Calculate the total current through the cross-section of the conductor.