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- A cylindrical wire of radius 1.0 cm has charge distributed throughout its volume with a uniform charge density of (micro) 10.0 mC/m ³. The electric field at a point 0.50 cm from the surface of the wire is O 11 x 10 3 N/C. zero. O 7.6 x 10³ N/C. 3.8 x 10³ N/C.Three non-conducting infinite planes of charge lie in the xy plane. Let oi = 120.0 µC/m², 02 = -70.0 µC/m², 03 = m and z = 0.35 m respectively. a) Use Gauss' law to derive the equation for the electric field due to a non-conducting plane of charge. b) What is the magnitude and direction of the electric field at z = 0.50 m? c) If you place a proton at z = 0.50 m and release it from rest, what acceleration will the proton experience? 80.0 µC/m2, where plane 1 lies at z = 0.00 m, and plane 2 and 3 lie at z = 0.20 1.Questions in the attachment
- 07 A closed surface with dimensions a = b = 0.400 m and c = 0.800 m is located as shown in the figure below. The left edge of the closed surface is located at position x = a. The electric field throughout the region is non- uniform and given by E. = [k (xy?) ↑ + k (x²y)j] N/C, where x,y are in meters, k =5.00 m3 1) Use ( E · îdA to calculate the flux through each surface. (should be SIX answers)R +Q +p Figure 3: r = Vx2 + y2 + z² 3. Sphere with electric charge +Q and infinite sphere at infinity with electric charge -Q. Consider a sphere of radius R field with electric charge of constant density p. (a) What is the units for the charge density p? (b) Express the total charge Q of the sphere in terms of this charge density. (c) Uses Gauss's Law to determine the electric field inside and outside the sphere. Express your answer in two forms: (i)in terms of total charge Q and (ii)in terms of charge density p. (d) Make a qualitative[but accurate] graph of the electric field from r = 0 to r = ∞. (e) Compute the potential relative to infinity V – V. at the following points (i) r =Determine the net charge inside a cube placed in a region with an electric field E = [6.00î + 7.00ĵ + ((2.80 m-¹)z + 4.00)Ê] N/C. Each side of the cube has a length L = 3.56 m. X What is the direction of the normal for each face of the cube? What is the flux through each face of the cube? Review Gauss's law. nC