Ampere\'s Law - Prelab Name: Date Lab day & time:- Part P-1: Suppose that a magn
ID: 3278471 • Letter: A
Question
Ampere's Law - Prelab Name: Date Lab day & time:- Part P-1: Suppose that a magnetic field is produced in some region of space by sources such as bar magnets, electric currents, etc. Select any two locations in this region (A and A ' ) and connect these two points by a broken line made of short displacements ). An example of this is shown in figure 1. These segments are numbered 1 through 8 and in this particular example it takes all eight to move from A to A'. figure 1 As you move through the magnetic field the effect of the field adds up. For example, suppose the first displacement ( S) had a magnitude of 0.5cm and pointed approximately 70P above the positive x-axis. The other š, vectors would then have displacements described in similar fashions. In figure 2 a magnetic field (caused by distant sources) has been sketched. (The path of figure 1 is unchanged). There is an important quantity we can form called the line integral of the magnetic field along the given path from A to A figure 2 This line integral is defined as the sum of the dot products of each displacement vector s, and the magnetic field vector B at the location of s. This line integral can be approximated by the sum of a finite number of dot products: magictic field caused by distaut sources (not shown
Explanation / Answer
B.s = B * s * cos(theta)
=> For B1.s1 = B1 * s1 * cos(theta1) = negative (theta1 is greater than 90 degree)
=> For B4.s4 = B4 * s4 * cos(theta4) = positve (theta4 is less than 90 degree)
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