In a long wire of square cross-section of side length l, current density varies with distance x from one edge of cross-section as
`J=ae^(hx)A//m^(2)`
Where a and b are positive constants. Find the current flowing in wire.
`[(al)/(b)(e-1)]`

AB is a uniformly shaped rod of length L and cross sectional are S, but its density varies with distance from one end A of the rod as rho=px^(2)+c , where p and c are positive constants. Find out the distance of the centre of mass of this rod from the end A.

A current of 4.8 A is flowing in a copper wire of cross-sectional area 3xx10^(-4) m^(2) . Find the current density in the wire.

A long straight wire of circular cross- section carries a current along its length. On the axis inside the wire, it follows that

A long cylindrical conductor of radius R carries a current i as shown in the figure. The current density J varies across the cross-section as J = kr^(2) , where, k is a constant. Find an expression for the magnetic field B at a distance r (lt R) from the axis

Consider a conductor of variable cross section in which current is flowing from cross section 1 to 2. Then

A cylindrical wire if radius R = 2 mm is of uniform area of cross-section. The current density through a cross-section varies with radial distance r as J = ar^(2) , where a =3.2 xx 10^(11)A//m^(2) and r is in metres. What is the current through the outer portion of the wire between radial distances R//2 and R?

A wire of radius R having uniform cross section in which steady current l is flowing. Then

A copper wire has a square cross-section, 2.0 mm on a side. It carries a current of 8 A and the density of free electrons is 8 xx 10^(28)m^(-3) . The drift speed of electrons is equal to

Consider a long cylindrical wire carrying current along the axis of wire. The current distributed non-uniformly on cross section. The magnetic field B inside the wire varies with distance r from the axis as B=kr^(4) where k is a cosntant. The current density J varies with distance r as J=cr^(n) then the value of n is (where c is another constant).