A circular surface charge with density ps, radius ra and with its axis is coinciding with the z axis is said to be located on the z = zo plane. Assume that zo is greater than zero. By using appropriate law obtain the electric field intensity induced by this structure at a point of (0, 0, h) where h is greater than zo.
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- Asap plzzzR OI A very thin spherical plastic shell of radius R = 18 cm carries a uniformly distributed negative charge of Q = -8 nC on its outer surface. An uncharged solid metal block is placed nearby. The block is w = 9 cm thick and is 9 cm away from the surface of the sphere. Calculate the magnitude of the elec- tric field at the exact center of the conductor generated only by the polarization of the con- ductor. In other words, do not include the electric field generated by the sphere. Answer in units of N/C.We have calculated the electric field due to a uniformly charged disk of radius R, along its axis. Note that the final result does not contain the integration variable r: R. Q/A 2€0 Edisk (x² +R*)* Edisk perpendicular to the center of the disk Uniform Q over area A (A=RR²) Show that at a perpendicular distance R from the center of a uniformly negatively charged disk of CA and is directed toward the disk: Q/A radius R, the electric field is 0.3- 2€0 4.4.1b
- A very long wire carrying charge density λ is surrounded by a very long hollow cylindrical layer with an inner radius a outer radius b on the same axis as the wire. The volume charge density in the cylinder layer is p. a) Obtain qic in terms of charge density and r distance, which you will use in the equation you will create with Gauss's law to find an electric field at a point perpendicular to the wire and at a distance r, inside the cylinder layer. b) Find the size of the electric field generated at the point mentioned in part a, where λ = 3x10 ^ -9 C / m p = 9x10 ^ -9 C / m ^ 3 a = 0.3 m b = 0.7 m r = 0.5 m.Figure (a) shows a circular disk that is uniformly charged. The central z axis is perpendicular to the disk face, with the origin at the disk. Figure (b) gives the magnitude of the electric field along that axis in terms of the maximum magnitude Em at the disk surface. The z axis scale is set by zs = 24.0 cm. What is the radius of the disk?Consider a sphere of radius R and gylinder of length L. if both same charge density o E, and E, are electric intensity at a point at a distance r from axis of sphere and cylinder respectively, the E, equal to ER E.r (a) (b) R Ec r (d) 2R 2 E.r (c)
- For the configuration shown in the figure below, suppose a-5.00 cm, 620.0 cm, and c25.0 om, furthermore, suppose the electric field at a point 16.5 cm from the center is measured to be 3.05 x 10³ N/C radialty inward and the electric field at a point 50.0 cm from the center is of magnitude 161 N/C and points radially outward. From this information, find the following. (Include the sign of the charge in your answer.) (a) the charge on the insulating sphere Do the charges on the conducting shell affect the electric held at this point? C (b) the net charge on the hollow conducting sphere What is the total charge inside a sphere of radius 50 cm? C (6) the charge on the inner surface of the hollow conducting sphere (d) the charge on the outer surface of the hollow conducting sphere Need Help? Ref W.A ball of radius R carries a positive charge whose volume density at a point is given as p = Po(1-r/R), where po is a constant and is the distance of the point from the center. Assuming the permittivities of the ball and the environment to be equal to unity, find a. the magnitude of the electric field strength as a function of the distance both inside and outside the ball intensity Emax and the corresponding b. the maximum distance I'm.The upper hemisphere of a hollow sphere of radius R has a uniform charge density (sigma). Calculate: a) the electric field of said configuration in the center of the sphere.
- A disk of radius R has a uniform surface charge density σ. Calculate the electric field at a point P that lies along the central perpendicular axis of the disk and a distance x from the center of the disk (as shown).Positive Charge Q for x<0 and negative charge -2Q for x>0 is uniformaly distributed around a semi-circle of raduis R as shown in the figure. Find the x-component of the the electric field at the center of curvature.Figure shows a point charge Q=2 nC placed at origin and a very long line carrying free charge with charge density, p, of +0.5 nC/m placed normal to the xy-plane at coordinate x = - surrounding is free space, state Gauss's Law and use it to determine the electric field at point P (0, 0.03, 0). All distances are in meters. -0.04 m. Assuming that the Q = +2 nC Line Charge