onsider an infinite hollow conducting cylinder of inner radius R and outer radius 4R,The non-uniform current density J is out of the page and varies with distance r from the center as J = J0 r kˆ(k hat) where J0 is a positive constant. Calculate the magnetic field at point P (r = 2R) from the centre, (magnitude and direction).

A cylindrical conductor of radius R = 2.12cm carries a current of I = 2.45A along its length; this current is uniformly distributed throughout the cross-section of the conductor. Calculate the magnetic field midway along the radius of the wire (that is, at r = R/2). Calculate the distance beyond the surface of the conductor at which the magnitude of the magnetic field has the same value as the magnitude of the field at r = R/2.

)A long, straight wire of radius R carries a steady current I that is uniformly distributed through the cross section of the wire. Calculate the magnetic field a distance r from the center of the wire in the regions r R. R.

The figure shows a wire segment of length As = 4.2 cm, centered at the origin, carrying current i = 2.3 A in the positive y direction (as part of some complete circuit). To calculate the magnitude of the magnetic field B produced by the segment at a point several meters from the origin, we can use the Biot-Savart law as B = (µ4T)i As (sin 0)/r². This is becauserand e are essentially constant over the segment. Calculate B (in unit-vector notation) at the (x, y, z) coordinates (a) (0, 0, 6.5 m), (b) (0, 8.7 m, 0), (c) (9.6 m, 9.6 m, 0), and (d) (-5.8 m,-6.5 m,0). FAs (a) B (0,0, 6.5 m) = (Number Units (b) |B| (0,8.7 m, 0) = Number i Units (c) B (9.6 m, 9.6 m, 0) = (Number i Units (d) B (-5.8 m,-6.5 m,0) = (Number i Units