Inside a sphere of radius a filled with positive charge with uniform charge density ρ, a smaller sphere with a radius of a/2 is removed (See attatched image for a visual). Determine the magnitude and direction of the electric field everywhere along the y-axis.
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Inside a sphere of radius a filled with positive charge with uniform charge density ρ, a smaller sphere with a radius of a/2 is removed (See attatched image for a visual). Determine the magnitude and direction of the electric field everywhere along the y-axis.
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- In Figure (a) below, a particle of charge +Q produces an electric field of magnitude Epart at point P, at distance R from the particle. In Figure (b), that same amount of charge is spread uniformly along a circular arc that has radius R and subtends an angle 8. The charge on the arc produces an electric field of magnitude Earc at its center of curvature P. For what value of 0 (inº) does Earc = 0.75Epart? (Hint: You will probably resort to a graphical solution.) +Q ||▬▬R—-| Number i P (a) ! +Q{{0/2 VR 8/24 (b) Units O (degreeAssume 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+zA -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.
- A cube has positive charge +Q in all corners except for one, which has a negative point charge - Q. Let the distance from any corner to the center of the cube be r. What is the magnitude and direction of the of electric field at the center of the cube (point P)?In the figure a butterfly net is in a uniform electric field of magnitude E = 2.2 mN/C. The rim, a circle of radius a = 8.1 cm, is aligned perpendicular to the field. The net contains no net charge. Find the magnitude of the electric flux through the netting.In the figure a butterfly net is in a uniform electric field of magnitude E = 3.2 mN/C. The rim, a circle of radius a = 7.2 cm, is aligned perpendicular to the field. The net contains no net charge. Find the magnitude of the electric flux through the netting. Number i Units