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In the figure, a long circular pipe with outside radius R = 2.60 cm carries a (u

ID: 1425290 • Letter: I

Question

In the figure, a long circular pipe with outside radius R = 2.60 cm carries a (uniformly distributed) current i = 8.00 mA into the page. Find the magnitude and direction of the magnetic field at the center of the pipe Find the magnitude and direction of the magnetic field at point P A wire runs parallel to the pipe at a distance of 3.00R from center to center Find the magnitude and 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 your answer at (a).

Explanation / Answer

a) magnetic field at the centre of pipe = 0 T

b) magnetic field at point P = 2 * 10-7 * 8 * 10-3/0.052

                                              = 3.077 * 10-8 T

Direction =   towards right

c)   Here,     2 * 10-7 *I /0.026 =   3.077 * 10-8

        =>     I = 4 mA               ------------------> magnitude of current in wire

   direction of current in wire   =   into the page

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