6.65 A 10-nC point charge is located at point (0, 0, 10 m) above a grounded...
A charge q is positioned at point (0,0,d) above a grounded conducting plate (V=0 on the plate). Use the method of images (see lecture notes) to find the electric field on the plate. Since the electric field inside the conductor is zero (charges are not moving), use Gauss’s Law to find the surface charge density σ(r) on the plate and show that the total charge on the plate is –q.
LSM 1 A point charge Q-10 mC is located at I m from a grounded conducting plate as shown in the figure. Assuming that the plate is infinitely large, calculate the force exerted on the charge Data Go-10 /36x F/m) Justify your answer 1m
4. Two charges are located above a grounded conducting plane defined by 0: a charge q at r 0.0 d) and a charge-21 at r= (d, d, d) . Find the force on the first charge.
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...
Let a uniform surface charge density of 5 nC/m2 be present at the z = 0 plane, a uniform line charge density of 8 nC/m be located at x = 0, z = 4, and a point charge of 2pC be present at P(2, 0, 0). If V 0 at M(O, 0, 5), find Vat N(1, 2, 3)
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...
4. A line charge ρL=50 nC/m, is located along the line x=2, y=5, in free space. (a) Find E at P(1,3,-4). (b) If the surface x=4 contains a uniform surface charge density ρS=18nC/m2, at what point in the z=0 plane is Etotal=0?
A 3.42 nC point charge is located on the zz axis a distance 0.800 m above the circular end cap of the paraboloidal cup shown in the figure. If L=2.00L=2.00 m and a=0.510a=0.510 m, calculate the magnitude of the total electric flux due to the point charge (a) through the circular end cap and (b) through the paraboloidal surface.
Consider an infinite uniform line charge density of 3 nC/m located on the X axis in fre spaee Calculate the electric field vector E of at the point P (2. 3,4) 2. (2 Marks) Calculate the electric field vector E of a uniform surface charge density of -5 nC/m2 at z-2 at the point P (1, 2, 0) in free space. (2 Marks) 3.
Student name: 10/31/18 Midterm 1 Problem 3: The line segmentx z-0 -3 s y s 1,z 1, carries a linear charge density pu 2T nC/m. Let be a conducting plane and determine the surface charge density at: P(0,0,0). Student name: 10/31/18 Midterm 1 Problem 3: The line segmentx z-0 -3 s y s 1,z 1, carries a linear charge density pu 2T nC/m. Let be a conducting plane and determine the surface charge density at: P(0,0,0).