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Repeat Example 4-5 for liie circular disk of charge of radius a, but in the present case, assume the surface charge density to vary with r as
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Fundamentals of Applied Electromagnetics (7th Edition)
- State and prove Gauss’ law for electrostatics. Show that the electric field intensity at a point close an infinite sheet of charge of surface charge density is σ is given byarrow_forwardH.W. 6: For the charge distribution shown in figure below. Find E at the origin. 45° PL 3 45° =-2 [nC/m]arrow_forwardConducting planes at z = 2 cm and z = 8 cm are held at potentials of -3 V and 9 V, respectively. The region between the plates is filled with a perfect dielectric with e = 50 e0, voltage at z = 4CM -5 V 1 V -3 V -7 Varrow_forward
- Three charge distributions as follows: a uniform sheet at x=0 m with ps1 = (/31) nC/m2, a uniform sheet at x 4 m with Ps2 (-137) nC/m2, and a uniform line at x= 6 m, y 0 m with p -2 nC/m. The E at (2, 0, 8) m is:arrow_forwardIn the figure particles 2 and 4, of charge -e, are fixed in place on a y axis, at y₂ = -8.38 cm and y4 = 4.19 cm. Particles 1 and 3, of charge - e, can be moved along the x axis. Particle 5, of charge +e, is fixed at the origin. Initially particle 1 is at x₁ = -8.38 cm and particle 3 is at x3 = 8.38 cm. (a) To what x value must particle 1 be moved to rotate the direction of the net electric force Fnet on particle 5 by 30° (b) With particle 1 fixed at its new position, to what x value must you move particle 3 to rotate back to its original counterclockwise? direction? (a) Number i (b) Number i Units Units 10arrow_forwardWhat is the surface charge density on a sphere with radius 2cm and Q-3 µC uniformly distributed on the :sphere's surface C/m² 10-4x5.97 .a C/m² 10-8x6 b O C/m² 10 5x1.19 .c O C/m² 10-6x3d Oarrow_forward
- Line charge density of 3x² µC/m is distributed along the x-axis. The total charge over a length of 10 m is given byarrow_forwardJust you EDIT Problem 3: A semicircular ring of radius R and charge density pỊ is given. Calculate electric field at center of the are and identify its direction. Add to story Morearrow_forwardQ4/ For the following configuration, both line and cylinder are infinite in extent with z-axis ρι -3μ C/m %3D ... 2 m 1.5 -C/m² Ps ... . .. .. ... .. .... ... .... .... ... . The value of electric field density at r= 3 m The value of electric field density at r= 1 m 0.0796 μC/m? 0.0398 μC/m2 0.239 μC/m 0.477 μC/m O Option 1 Option 2 O Option 1 Option 2 0.0531 µC /m² 1.5 μC/m2 O Option 3 None of the above O Option 3 O None of the abovearrow_forward
- Conducting planes at z = 2 cm and z= 8 cm are held at potentials of -3 V and 9 V, respectively. The region between the plates is filled with a perfect dielectric with e= 10 €0, voltage at z=0arrow_forwardTwo identical conducting spheres,fixed in a place, attract each other with an electrostatic force of 0.108.N when separated by 50.0 cm,center to center.the spheres are then connected by a thin wire conducting wire.when the wire I removed, the sphere repel each other with an electrostatic force of 0.360N.what is the initial charges on the spheres?arrow_forwardSuppose an Electric Flux Density in the space is given by: D = 6.p.sinp ap (C/m²). Determine the charge density at the point (2m, 45°, Om). Select one: a. -3 v2 c/m3 b. -3 v2 c/m3 C. V2 c/m³ d. None of thesearrow_forward
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