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 .

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 .

Suppose that instead the current density is a maximum J_(0) at the surface and decreases linearly to zero at the axis so that J=J_(0)(r )/(R ) . Calculate the current.

The current density in a wire of radius a varies with radial distance r as J=(J_0r^2)/a , where J_0 is a constant. Choose the incorrect statement.

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.

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.

If the current density in a linear conductor of radius 'a' varies with r according to relation J=kr^2 , where k is a constant and r is the distance of a point from the axis of conductor. Find the magnetic field induction at a point distance r from the axis, when (i) rlta and (ii) rgta .

Suppose that the current density in a wife of radius a varies with r according to J = Kr^(2) , where K is a constant and r is the distance from the axis of the wire. Find the megnetic field at a point distance r from the axis when (a) r a

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 :