In Fig. 4, a long circular pipe with outside radius R = 2.6 cm carries a (uniformly distributed) current i = 8.00 mA into the page. A wire runs parallel to the pipe at a distance of 3R from center to center. Find the (a) magnitude and (b) direction (into or out of the page) of the current in the wire such that the net magnetic field at point P has the same magnitude as the net magnetic field at the center of the pipe but is in the opposite direction. Wire O- P.- х X. Pipe Fig. 4

A cylindrical conductor with a radius R carries a current I. The current is uniformly distributed over the cross-sectional area of the conductor. Find the magnetic field as a function of the distance r from the conductor axis for both inside (rR) the conductor.

A long solenoid with 10.0 turns/cm and a radius of 10.1 cm carries a current of 29.8 mA. A current of 4.51 A exists in a straight conductor located along the central axis of the solenoid. (a) At what radial distance from the axis in centimeters will the direction of the resulting magnetic field be at 33.8° to the axial direction? (b) What is the magnitude of the magnetic field there? (a) Number 1.61 (b) Number 6.73e-5 Units Units cm T

A long, straight wire going through the origin is carrying a current of 2.80 A in the positive z-direction (see the figure below). HINT At a point a distance r = 2.70 m from the origin on the positive x-axis, find the magnitude and direction of the magnetic field. (a) magnitude of the magnetic field (in T) T (b) direction of the magnetic field O +x-direction O -x-direction O +y-direction O-y-direction O +z-direction O -z-direction A At a point the same distance from the origin on the negative y-axis, find the magnitude and direction of the magnetic field. (c) magnitude of the magnetic field (in T) T (d) direction of the magnetic field O +x-direction O -x-direction O +y-direction O -y-direction O +z-direction