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- 20 sin 0 If V : - V in free space, find: (a) py at P(r = 2,0 = 30°, Ø = 0);2. A vector field is specified as G = (24xy) ax + 12(x^2 + 2)ay + (18 z^2)az. Given two points, P(1, 2,-1) and Q(-2, 1, 3), find: a) G at P b) a unit vector in the direction of G at Q c) a unit vector directed from Q toward PI really need help with this problem, can you also explain the R=2H, it's the part that confuses me the most, thanks!
- electrons radius r Two protons (p) and two (e) are arranged on a circle of 5 [cm], with angles 0₁ = 20°, 0₂ = 60°, 03 = 20° and 04 = 60°, as shown in the figure. (qp = +1.6 x 10-19 [C] and qe = -1.6 × 10-19 [C]). The figure is not to scale. 04 y a. Find Enet, the net electric field vector produced at the center of the circle. Enet = ([ ])i + ( ]) Ĵ [N/C] b. Where on the circle should a fifth point charge qo be placed (give its angle relative the +x-axis) and what is its value (calculate qo) in order to have Ēnet (the net electric field at the center of the circle) equals zero (Type the detailed solution to this question in the below box, Show all your calculation steps by typing in the box). P X4) Solve F.dr using Stokes' theorem for yzi zi‡ yk»where S is the cylinder x² + y² = 4 between -3 ≤ z ≤ 1, with outwards pointing normal. Ans: 1674) A proton (p) and electron (e) are released when they are separated by a distance d initial acceleration for each particle, from one of the selections below. 4 À (4 Angstroms). Calculate, and then find, the magnitude of the %3D a) a(p) = 8.63 x 107 m/s², a(e) = 1.58 x 1021 m/s²; b) a(p) = 3.4 x 10'8 m/s², a(e) = 6.3 x 10²' m/s²; c) a(p) = 4.315 x 1016 m/s², a(e) = 7.9 x 1020 m/s²; or d) a(p) = 3.45 x 1018 m/s², a(e) = 6.32 x 10²' m/s?. %3D %3D 5) Two small spheres are placed a distance 20 cm apart and have equal charge. How many excess electrons must be placed on each sphere if the magnitude of the Coulomb repulsive force is F = 3.33 x 102' N? a) 2 x 103; b) 350; c) 761; or d) 1.2 x 10.
- . What is T.N.E.I. through the surface A and B. respectively? (q, 2q) (b) (-q,-2q) (a) (c) (0, q) (d) (0, q) B +29 A(+qr -e Physical constants (A) What is the radius of the orbit with n = 4? (B) What is the speed of the orbit with n = 4? The old Bohr model of the hydrogen atom was based on... (1) the assumption that the electron travels on a circle h = 6.626 x 10-34 Js; -28 (A) (in m) Bohr Model mv² r mvr = n and obeys Newton's second law, and (2) the hypothsis that angular momentum is quantized. For the Bohr model, Ke² = 2.307 x 107 Jm; 31 m9.11 x 10 kg. (B) (in m/s) Ke² 12. (1) (2) OA: 2.034x10-10 OB: 2.706x10-10OC: 3.598x10-10 OD: 4.786x10-10 OE: 6.365x10-10 OF: 8.466x10-10 OG: 1.126x109 OH: 1.497x109 OA: 8.533x104 OB: 1.237x105 OC: 1.794x105 OD: 2.601x105 OE: 3.772x105 OF: 5.470x105 OG: 7.931x105 OH: 1.150x1061)What is the electric potential due to the nucleus of hydrogen at a distance of 6.50×10-11 m? Assume the potential is equal to zero as r→∞. (Express your answer to three significant figures.)
- 1.b. Four infinite uniform sheets of charge ax located as follows: 20 PC/m² to at y = 7 -8 PC/m at y = 3 6 PC/m² at y = -1 18PC/m² y = -4 Find E at (a) PA (2,6,-4), (b) PB (1,1,1)2) A force field is given by F = (-8x + 5yz)i + (5xz-6yz)į + (5xy - 3y')k Determine the associated potential function for this force field if at x = y = z = 1, U=3 J1.) Find the expression for D as a function of r from the center of a nonconducting sphere of radius R = 0.01 m which has a net positive charge of 7 C uniformly distributed within the volume of the sphere, assuming the negative 7 C charge is uniformly distributed over the surface of a much larger sphere. Note: the volume of a sphere of radius R is TR®. Use the volume of the sphere to find the Pu (volumetric charge density). 3 (a) Find D(F) for r R. (c) Find D(F) for r = 0.1 m.