1. A 2.2 uC point charge is on the x-axis at 4.6 m, and a 4.5 uC point charge is on the x-axis at 2.8 m. Find the magnitude of the net electric field at the point on the y-axis where y= 2.2 m. The value of Coulomb constant is 8.98755 * 109 N.m2/C2.
Determine the direction of this electric field (as an angle between -180o and 180o measured from the positive x-axis, with counterclockwise positive.)
2. A rod 6.4 cm long is uniformly charged and has a total charge of -29.9 uC. Find the magnitude of the electric field along the axis of the rod at a point 52.3821 cm from the center of the rod. The value of Coulomb constant is 8.98755 * 109 N.m2/C2
3. Consider a disk of radius 3.9 cm with uniformly distributed charge of 4.7 uC. (a) Computer the magnitude of the electric field at a point on the axis and 3.1 mm from the center. The value of Coulomb constant is 8.98755 * 109 N.m2/C2.
(b) Computer the field from the near-field approximation x << R. (c) Computer the electric field at a point on the axis and 31 cm from the center of the disk. (d) Approximate the field by treating the disk as a 4.7 uC point charge at a distance of 31 cm.