PHYS 122 Midterm: PHYS 122 Midterm 1
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Consider a total charge q > 0 spread uniformly over a thin rod of length l as shown. The rod lies along the x- axis and is centered at the origin. Point p is on the + y- axis a distance s above the origin. X c. +y d. y e. some other direction (or not enough information) [4 pts] which of these expressions best represents the electric field at point p in the general case: ep. L/2 (cid:2) (cid:1) l/2 dx x2 + s2. + l/2 (cid:2) (cid:1) l/2 sdx x2 + s2. + l/2 (cid:2) (cid:1) l/2 xdx x2 + s2: ep kq. + l/2 (cid:2) (cid:1) l/2 sdx (x2 + s2 )3/2. Continued on the next page: ep kq. + l/2 (cid:2) (cid:1) l/2 xdx (x2 + s2 )3/2. In case 2, the charged rod of case 1 is replaced by a point charge of the same total magnitude q, located at the origin.
