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42. Example 20.7: A thin rod of length L lies on the x-axis with its center at the origin, as shown in Fig. 20.29. The rod carries charge Q distributed uniformly over its length. (a) Modify the calculation of Example 20.7 to find an expression for the electric field at point A in Fig. 20.29, located on the positive y-axis an arbitrary distance y from the origin (but with y large enough to put point A outside the thin rod). (b) Show that your result reduces to the field of a point charge Q when y ? L. FIGURE 20.29 Problems 42 and 43 43. Example 20.7: A thin rod of length L lies on the x-axis with its center at the origin, as shown in Fig. 20.29. The rod carries charge Q distributed uniformly over its length. (a) Find an expression for the electric field at point B in Fig. 20.29, located on the positive x-axis a distance x from the origin, where x > L/2, so that point B is beyond the right end of the rod. (b) Show that your result reduces to the field of a point charge Q when x ? L.

          42. Example 20.7: A thin rod of length L lies on the x-axis with its center at the origin, as shown in Fig. 20.29. The rod carries charge Q distributed uniformly over its length. (a) Modify the calculation of Example 20.7 to find an expression for the electric field at point A in Fig. 20.29, located on the positive y-axis an arbitrary distance y from the origin (but with y large enough to put point A outside the thin rod). (b) Show that your result reduces to the field of a point charge Q when y ? L.
FIGURE 20.29 Problems 42 and 43
43. Example 20.7: A thin rod of length L lies on the x-axis with its center at the origin, as shown in Fig. 20.29. The rod carries charge Q distributed uniformly over its length. (a) Find an expression for the electric field at point B in Fig. 20.29, located on the positive x-axis a distance x from the origin, where x > L/2, so that point B is beyond the right end of the rod. (b) Show that your result reduces to the field of a point charge Q when x ? L.

42. Example 20.7: A thin rod of length L lies on the x-axis with its center at the origin, as shown in Fig. 20.29. The rod carries charge Q distributed uniformly over its length. (a) Modify the calculation of Example 20.7 to find an expression for the electric field at point A in Fig. 20.29, located on the positive y-axis an arbitrary distance y from the origin (but with y large enough to put point A outside the thin rod). (b) Show that your result reduces to the field of a point charge Q when y ? L.
FIGURE 20.29 Problems 42 and 43
43. Example 20.7: A thin rod of length L lies on the x-axis with its center at the origin, as shown in Fig. 20.29. The rod carries charge Q distributed uniformly over its length. (a) Find an expression for the electric field at point B in Fig. 20.29, located on the positive x-axis a distance x from the origin, where x > L/2, so that point B is beyond the right end of the rod. (b) Show that your result reduces to the field of a point charge Q when x ? L.

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