$ Q2/Evaluate D.ds side of the divergence theorem for the field D = 2xyax + x'yay C/m² and the rectangular parellelepiped formed by the planes x = 0 and 1, y = 0 and 2, and z = 0 and 4.
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- A metal loop with a radius of 15 cm is in a B field of 40 T.What is the flux if the loop is parallel with the field?What is the flux if the angle is 30 degrees? What is the flux if the angle is 45 degrees? What is the flux if the angle is 60 degrees? What is the flux if the angle is 90 degrees?1. Consider the Yukawa potential V = g²e T/TO T where r = √√x² + y² + z² and is the distance from the origin and ro is a constant. (This potential arises naturally in nuclear physics but we can imagine it being produced by a specific configuration of electric charge) i) Work in a suitable coordinate system and derive the electric field associated with this potential. ii) Compute the flux through a spherical Gaussian surface centred on the origin as a function of r. iii) Use the above result in the limit that r → ∞ to show that the total charge involved is zero.Calculate the electric field at the anode surface in Figure 1 (L-3.5 m, d=8 mm, Anode V=27 kV) and on the surface of the sphere shown in Figure 2 (r=2.2 mm, d=4.8 m, sphere V=19 kV). A node Cathode L Figure 1 small copper sphere, radius r insulator) Figure 2 Lütfen birini seçin: a.E=27 kV/mm in Figure 1 and E=86.36 kV/cm in Figure 2 b.E=33.75 kV/cm in Figure 1 and E=86.36 kV/cm in Figure 2 c.E=33.75 kV/cm in Figure 1 and E=3.95 kV/mm in Figure 2 d.E=5.63 kV/m in Figure 1 and E=3.95 kV/mm in Figure 2 e.E=5.63 kV/mm in Figure 1 and E=7.53 kV/m in Figure 2
- Solve 4,5L/2+ L/2 Note: Figure not drawn to scale. 1. A very long, thin, nonconducting cylinder of length L is centered on the y-axis, as shown above. The cylinder has a uniform linear charge density +2.. oint. is located on the y-axis at y = c, where L >> ¢. a) Kecling.c Abh ri gle Circle GEOMETRY AND TRIGONOMETRY i. On the figure shown below, draw an arrow to indicate the direction of the electric field at point F due to the long cylinder. The arrow should start on and point away from the dot. ii. escribe the shape and location of a Gaussian surface that can be used to determine the electric field at point P due to the long cylinder. iii. Use your Gaussian surface to derive an expression for the magnitude of the electric field at point P. E press your answer in terms of 2, c, L, and physical constants, as appropriate. A==bh A = r² C = 277 =r8 Rectangular Solid Vi h Cy.inder Sphere V = r²t Sm V=² S-427² sine Rig Triangle 2+6²=c² cos@= tan= +2 BIL a b C 2x. Q b ADVANCED PLACEMENT PHYSICS C…part d please