4) A thin rod of length 2L is oriented on the x-axis with its center at the origin as shown. The rod has a total charge of Q distributed uniformly over its length. Write an expression for the potential V for a point "P" located at y on the y axis (y > 0). Assume V = 0 at infinity.
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- please show full solution1 - A charge q, = 2x10-6 C is located at the origin, and a charge q2 = -6x106 C is located at (0, 3) m, as shown in Figure. What is the total electric potential due to these charges at the point P, whose coordinates are (4, 0) m? -6.00 µC. 3.00 m 2.00 µC 4.00 m a) O 6.29 x 10³ v b) O -6.29 x 10³ V c) O 6.89 x 10³ V d) O -6.89 x 103 v e) O 6x 103 v1. Two point charges -4 µC and 5 µC are located at (2, -1, 3) and (0, 4, -2), respectively. If point charge 3 µC is located at the origin in addition to the two charges, find the potential at (-1, 5, 2), assuming V (∞) = 0.
- 1) Given the charge distribution below, determine the potential at A (upper left corner of the triangle and B (middle of the right edge of the rectangle). A -30 µC B. 7.5 cm 23.0 cm +10 uC +90 µCTwo short non-conducting rods of lengths L and 2L are aligned on the y-axis as shown below. The lower rod (-L < y < 0) has a negative linear charge density of -A. The upper rod (0 < y < 2L) has a positive linear charge density of +A. The magnitudes of the linear charge densities are the same such that -A = - (+1) Find the potential V for a point located on the x-axis at x = a due to the presence of both charged rods. Assume V = 0 at infinity. (Hint: Partial symmetry can be used to simplify the problem). +2L (0, 0) -L V-yWhat are (a) the charge and (b) the charge density on the surface of a conducting sphere of radius 0.16 m whose potential is 300 V (with V = 0 at infinity)? (a) Number Units (b) Number Units
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