) given a line charge distribution of (¹02C/m) on z axis, find VAB where A(3, x/2,1) and B(4, z, 6). 10-12
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- Plz solve correctly3. Calculate the total charge within each of the indicated volumes: (a) 0.1 ≤ xl.lyl,[z] ≤ 0.2: P₂ = x³y³z3 ; (b) 0 s p ≤ 0.1, OSOS T, 2 ≤ Z ≤ 4; Pv=p²z² sin0.60 Answer: 27uC; 1.778mC1. 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.
- 1. If I draw a Gaussian surface surrounding the nucleus of an Oxygen atom, with an atomic number of 8, what is the electric flux through that surface? If I increase the size of that surface to enclose the entire atom, i.e., include the electrons too, what is the electric flux through the surface? What is the electric flux if the Oxygen atom oxidizes to 0²-?113 In the case of scattering from a spherically symmetric charge distribution, the form factor is given by sin (4) qr/h F(q²) = √p(r) ³ -4л r²dr where p(r) is the normalized charge distribution. (a) If the charge distribution of proton is approximated by p(r) = A exp(-r/a), where A is a constant and a is some characteristic "radius" of the proton. Show that the form factor is proportional to (1+2) where 90 is h/a. (b) If q = 0.71 (Gev) ². determine the characteristic radius of the proton.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
- HW 2-3 A square plate described by -2 s xs 2, -2 < y< 2, z = 0 carries a charge 12 ly| mC/m?. Find the total charge on the plate and the electric field intensity at (0, 0, 10). Answer: 192 mC, 16.46 a, MV/m.2) The electric field is given in the form of... E²₁ = ( ( 2 + sin²³0) ^ + (sing cosé @ + 3 =²2 O