ECE106 Lecture 64: ECE 106,University of Waterloo,(p64)
Document Summary
Note: this direction will be the same for every current element located along the wire. So the vector summation of magnetic field contribution at p from all the current elements (l from to. + ) will be simply a scalar sum (this is not a general rule). Note: and r are functions of l, since l is the integration variable, sin and r must be represented in terms of l. from the geometry, r = l2 + r2 and sin = r l2+r2. 4 rdl (l2 + r2)3/2 rdl (l2 + r2)3/2. Note: from the direction of the magnetic field in this example, it is seen that the magnetic field lines close in on itself. This fact turns out to be true in general. Example 2 magnetic field due to a current loop. i. A current loop is also a good model for orbiting electrons in atomic structures of material.