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The electric field in a region is given by Ě = -î, where a = 250 Nm/C, b = 4.0 m, and c = 4.8. What is the net charge (in C) enclosed by the shaded volume shown below? b + cx a Ë 1.5 m 2.0 m 1.0 m с
E 1.5 m 2.0 m 1.0 m The electric field in a region is given by 8 = a/1b + cxjî where a= 200, b=1.0, and c-2.0 What is the net charge enclosed by the shaded volume shown above? Your answer: OA) -8,8 x 10-10 OB)-70,5 x 10-10 000 OD)-21,2x10-10 OE) 15 x 10-20 Clear answer
6. The electric field in the region of space shown is given by E (8i+2yj) N/C where y is in m. What is the magnitude of the electric flux through the top face of the cube shown? 2n 7. a a Charge of uniform linear density (4.0 nC/m) is distributed along the entire x axis. Determine the magnitude of the electric field on the y axis at y-2.5 m.
At a given region in space, the electric field is E = 5.89 ✕ 103 N C · m2 x2î. Note that when x is in m, E will be in N/C. Electric charges in this region are at rest. Determine the volume density of electric charge (in nC/m3) at x = 0.320 m. Suggestion: Apply Gauss's law to a box between x = 0.320 m and x = 0.320 m + dx. nC/m3
In a given region, there exists an electric field, E=(2 x+ z) ̂ i+ ( x−y) ̂ j+ (2 z−y)k̂ N/m⋅C . a. Determine the force felt by a 2.0C charge is placed at position (3.25, 7.5, -4.0) m. b. Determine the position of a 2.0C charge that feels a force of 15̂j N
A cylinder of diameter 1.72 m is in a region where the electric field is as shown in the figure below. If E1 = 40.2 N/C and Ez = 24.2 N/C, what is the net flux through the two end faces of the cylinder? Note that the diagram is not to scale. N·m2/c E E
Flux through a cube: The electric field, E, in a cube of side a 0.70 m is given by where Eo is a scalar with valueE-0.125 N/C. The sides of the cube lie along the z, y, and z axes as shown in the figure below. Determine the net charge Qend in nanocoulombs (nC), enclosed by cube. DC
The electric field in certain region is given by the function: E= Akcos(kx)cos(by)i - Absin(kx)sin(by)jwhere A = 9 N·m/C, k = 0.65 m-1, and b = 1.4 m-1.The points in the figure are given by values x1 = 1.75 m and y = 2.5 m Part (a) What is the change in electric potential, in volts, from point (0,0) to point (x1,0)? Part (b) What is the change in potential, in volts, from point (x1,0) to point (x1, y)? Part (c) What is the...
3 Questions Find: a) The electric flux density vector: D=-EVV, where & is a constant = 10 pF/m. b) The electric volume charge density at any point in the region: p, = V D= divergence ofD e) The total charge enclosed by the specified region: Q= fpdv, dv element of volume d) Find Vx D and show that D is irrotational. In the cylindrical region: 0srs2m, 0s0s7/2 0szslm, the potential field V is given by V=50 2 sin volts
3...
3 Questions Find a) The electric flux density vector: D-EVV, where s is a constant 10 pF/m. b) The electric volume charge density at any point in the region: p, = V. D = divergence of D c) The total charge enclosed by the specified region: Q ffp,dv, dv element of volume d) Find VxD and show that D is irrotational In the cylindrical region: 0srs2m, 0s0s7/2, 0szslm, the potential field Vis given by V=50 sin volts
3 Questions Find...