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Question 4 (20 points) Consider a charge Q of value 1.0 °C located as shown in...
Question 3 [20 points) Consider a charge of value 1.0 C located as shown in the xz plane between two orthogonal ground planes. 1.0 mo 1.0 m (a) find the potential at the point (-2, 0, 2) m (b) what is the electric field at the point (2,0,0) m (c) what is the surface charge density at the point(0, 0, 3) m?
Three very large parallel non-conducting planes (infinte planes) have surface charge densities of ?, −? and – 3? (? > 0). Planes are distance ? apart from each other. The origin of the coordinate system was set on the first plane as shown in the figure. Planes are perpendicular to z axis. Point A is 1/2 ? away from the origin while point B and P are 2 ? and 4 ? away from the origin respectively. a) Use Gauss’s...
Problem 2 - Point charge and plane (20 pts) A point charge q (q>0) is located a distance d above an infinite conducting plane lying in the x-y plane. The plane is connected to the ground (Fig.1), so that the electric potential V at any point on the plane satisfies V=0. Calculating the electric potential generated by the point charge-grounded plane combination at any point P is more complicated than it looks because the conducting plane pulls some electric charge...
Three very large parallel non-conducting planes (infinte planes) have surface charge densities of sigma,-sigma a and -3sigma (sigma > 0). Planes are distance d apart from each other. The origin of the coordinate system was set on the first plane as shown in the figure. Planes are perpendicular to z axis. Point A is 1/2 d away from the origin while point B and P are 2 d and 4 d away from the origin respectively. a) Use Gauss's law,...
1. A total charge of Q is uniformly distributed around the perimeter of a circle with radius a in the x-y plane centered at origin as shown in Figure P4. (a) Find the electric field at all points on the z axis, i.e., (0,0,z). (b) Use the result you obtain in (a) to find the electric field of an infinite plane of charge with surface charge density ps located at the x-y plane. 2. Find the electric field due to a...
Consider a point charge q located at the point az (see Fig. 1). The point charge is surrounded by a spherical surface of radius R centered at the origin which is cut off at theV2R/2 plane resulting in the open surface shown in Fig. 1 (turnover page). We shall refer to this surface as B (a) Using spherical polar coordinates (r.. o) state the radial component of the electric field E, from q everywhere on B (b) Calculate the electric...
PRACTICE: Consider the three infinite sheets of charge shown in the figure. The first sheet has chage density 01 = +10uC/m² and lies on the yz-plane. The second sheet has charge density of 02 = +10uC/m2 and is parallel to the yz-plane at x = 0.10 m. The third sheet has charge density of 03 = +10uC/m2 and is parallel to the yz-plane at x = 0.20 m. Determine the electric field at the point P (0.05 m, 0). 02
30% Three very large planes carrying uniform surface charge densities are located in a medium with &r = 2 as shown in Figure 1. Draw the net electric field (E-field) due to the system. Explain what principles you used to obtain the net E-field and comment on the graph. Comment on any assumptions and approximations used. (ii) 15% Calculate the electric field strength and displacement field at the three points shown in Figure 1. 64 =-10 nC/m202 = 10 nC/m²...
Question #7-4 points) A point charge, Qi, of 220 nC is located at the origin, and a second point charge, Q2, of-450 nC is located at y -0.55 m, as shown in the figure. We want to determine the x and y components of the electric field at point P, located 0.35 m to the right of Q as shown. E, 0.35 m -220 nC Sketch the electric field contributions at point P resulting from the individual charges, Qi and...
A point charge q is located between two mutually parallel conducting planes. Its distance from each plane is equal to l. Find the magnitude of the plane acting on the charge if the planes have charge density x1 and x2.