A point charge, q, is at the center of a spherical shell of linear and isotropic dielectric. The inner radius is a and the outer radius is b. Find the displacement, electric field and polarization in all three regions (inside the shell, within the shell, and outside the shell).
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- Assume you have a line of positive charge with a linear charge density of 10.0 µC/m. Assume that this line of charge is infinitely long and lies on the z-axis (which is perpendicular to both the x- and y-axes). a) Find the strength and direction of the electric field associated with this line of charge at (0.5 m, 0 m, 0 m) The strength of the field at the stated point is N/C and the direction of the field at the stated point is O-x O+x O-y O+y O-z O+z b) Find the strength and direction of the electric field associated with this line of charge at (0 m, 0.5 m, 5 m) The strength of the field at the stated point is N/C and the direction of the field at the stated point is O-x O+x O-y O+y O-z O+z c) Find the strength and direction of the electric field associated with this line of charge at (2.0 m, 0 m, Om) The strength of the field at the stated point is N/C and the direction of the field at the stated point is O-x O+x O-y O+y O-z O+zConsider a spherical metal shell of inner radius ?. A point charge ? = −5 mC is located at a distance ?/2 from the centre of the shell. The shell is neutral. a) Calculate the induced charge on its outer surface. b) Sketch the charge distribution at the inner and the outer surfaces of the shell, and the E-field lines inside and outside the metal shell.Calculate the electric field at the center of a dielectric cylinder of circular cross-section of height h and radius a with a permanent uniform polarization P0 perpendicular to its circular faces.
- Questions in the attachmentA horizontal charged disk has a radius of 0.06 m and a uniform surface charge density of p, = 2.34 x 10 C/m². It is centered on the z axis and is located 0.2 m below the xy plane. A point charge of Q = 1 μC is located at the origin. Calculate the force acting on the disk as a result of the electric field intensity produced by the point charge.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?
- A uniform electric field of magnitude 43.1N/C is parallel to the x axis. A circular loop of radius 25.7cm is centered at the origin with the normal to the loop pointing 27.4 above the x axis. A). Calculate the electric flux in, newton squared meters per coulomb, through the loop. B). To what angle, in degrees from the positive x axis, should the normal of the loop be rotated so that the flux through the loop becomes 0.419N⋅m2/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 WGiven a point charge q1= 500 pC at (-1,0,0) and q2=100 pC at (0,1,0) in free space. Determine the vector electric field intensity at points (0,0,1) and (0,0,0)