Two equal charges are located at (a,0,0) with a>0. Consider that the cube length 2L, L>a with its center at (0,0,0). Will the total flux leaving all six surfaces be equal or different?
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Two equal charges are located at (a,0,0) with a>0. Consider that the cube length 2L, L>a with its center at (0,0,0). Will the total flux leaving all six surfaces be equal or different?
According to Gauss law
Flux passing through a closed surface is equal to 1/ times the total charge enclosed in it.
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Solved in 2 steps
- (a) Use Gauss's Law to find the electric field inside a uniformly charged sphere of radius R and charge density p. (b) Two spheres, each of radius R and carrying uniform charge densities +p and −p, respectively, are placed so that they partially overlap. Call the vector from the positive center to the negative center d. Show that the field in the region of overlap is constant, and find its value. +Given a non-uniform SURFACE charge density 0= 0• sin 0 cos? p, oo = = constant, 0, oi e spherical coordinate angles: 11. Find the total "Q" placed on a sphere of radius "R" centered on the originConsider two imaginary spherical surfaces surrounding a point charge +Q. One is a sphere of radius 10 cm and the other is a sphere of radius 20 cm. Which statement about the net flux through these surfaces is correct? correct? The net flux through the larger sphere is the same as the net flux through the smaller sphere. The net flux through the larger sphere is half the net flux through the smaller sphere. The net flux through the larger sphere is four times the net flux through the smaller sphere. The net flux through the larger sphere is one fourth the net flux through the smaller sphere. The net flux through the larger sphere is twice the net flux through the smaller sphere.
- A net flux of 6.75×10^4 N⋅m2 passes inward through the surface of a sphere of radius 5.25 cm. What is the net charge, in coulombs, contained within the sphere?A point charge is located at the center of two thin, concentric, non-conducting spherical shells (both uniformly charged). The flux through a gaussian sphere of different radii (centered at point P) is as follows: = 1.6 x 106 Nm²/C (for r r₂). What is the charge at point P? qp = What is the charge on shell 2? 92² C. Recall that 1 μC = 106 C. μC. 12. P 2A charge is initially surrounded by a cubic Gaussian surface whose volume is d³. The cubic surface is replaced by a spherical surface of radius d/2. The net flux of the spherical surface is none of the above. equal to the net flux through the cube. greater than the net flux through the cube. less than the net flux through the cube.
- Given a constant SURFACE charge density o=00 : 3. Find the total "Q" placed on a disk of radius "R" 4. Find the total "Q" placed on a sphere of radius "R" 5. Find the total "Q" placed on a open cylinder of radius "R" and length "L" 6. Find the total "Q" placed on a closed cylinder of radius "R" and length "L"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.