In the space between two parallel planes separated by a distance 2d some charge is uniformly distributed with density po. Calculate the electric field in all space as a function of x 2d
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- An insulating sphere with a radius of 20 cm carries a uniform volume charge density of 1.5 x 10-6 C/m3. Find the magnitude of the electric field at a point inside the sphere that lies 8.0 cm from the center. and. is E = 4.5 x 103 N/C (what is the solution)An insulating solid sphere of radius a has a uniform bulk density ρ and a total positive charge Q. Calculate the magnitude of the electric field at a point outside the sphere.Find the electric field above an infinite plane of charge with constant surface charge density σ0
- a) A very long (almost infinitely long) cylindrical wire of radius R carries a uniform charge density Po. Find the line charge density. Find the electric field inside and outside the wire. b) If a long cylindrical cavity of radius b is created at a distance a in the wire maintaining same charge density as part (a) (see Fig. 2). Find the line charge density. Find the electric field inside the cylindrical cavity. 01 Fig. 2Point P sets above an infinite line of charge 2 m in the positive z direction. The line of charge itself has a charge density ? of -5.0 x 10⁶ C/m. What is the magnitude of the electric field at point P?This is a two part problem. An infinite slab of thickness 2z-nought lies in the xy-plane between z = -z-nought and z = z-nought. The volume charge density, rho, is constant. a) Find an expression for the electric field inside the slab. b) Find an expression for the electric field above the slab.
- A disk with a uniform positive surface charge density lies in the x-y plane, centered on the origin. The disk contains 2.5 x 10-6 C/m2 of charge, and is 7.5 cm in radius. What is the electric field at z = 15 cmIndicate true or false in each of the following statements: For an isolated positively charged metal plate electric field lines will leave both sides of the plate. v The elctric flux from a surface is the cross product of the electric field vector and the area vector. v Electric field lines start on a positively charged surface. A Gaussian surface can be any closed surface that suites the problem The electric field outside a charged conductor is perpendicular to the surface.An insulating sphere of radius R has a non-uniform charge density given byp = Ar 2 for r R. Find the electric field both inside and outside the sphere.
- 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+zAn infinite sheet charge of has a charge density of +44.81 pC/m2 and covers the entire x-y plane. A second infinite sheet of charge has a charge density of −53.2 pC/m2 covers the entire y-z plane. What is the magnitude of the electric field at any point not on either surface?A -1.11 nC point charge is located inside a cavity of a hollow sphere of conducting material with charge 6.72 nC and of radius 10.0 cm. Calculate the electric field 0.473 m from the point charge in units of N/C. Assume answers are in the radial direciton such that if the field points radially away your answer will be positive and if the field points radially in your answer will be negative. Give your numerical result to 3 significant figures and type in the units after your numerical answer.