In depth Explanation please! 4. A potential is given as V(x,y,z) Az^2x + Be^-ex + Dy3z^-2,...
Over a certain region of space, the electric potential is V = 2x - 5x2y + 2yz2. Find the expression for the x component of the electric field over this region. (Use the following as necessary: x, y, and z.) Ex = Find the expression for the y component of the electric field over this region. Ey = Find the expression for the z component of the electric field over this region. Ez = What is the magnitude of the...
Assume X, Y are independent with EX = 1 EY = 2 Var(X) = 22 Var(Y) = 32 Let U = 2X + Y and V = 2X – Y. (a) Find E(U) and E(V). (b) Find Var(U) and Var(V). (c) Find Cov(U,V).
2) Let z = ex’y, a ex?y, x = Vuv, y = f(v), f(1) = 1 and f'(1) = 1/2. Find i) at the point where u = 4 and v = 1. az and ii) 2) 2 = er’y, r = Vuv, y = f(v), f(1) = 1 ve f'(1) = 1/2 ise, i) Su ve ii) si 'nin u = 4 ve v = 1 olduğu noktadaki değerlerini hesaplayınız. (1) 4e*; (ii) 4e + 24 (1) 4e4; (tr)...
gunel hese In a certain region of space, the electric potential is V(1, y, z) = 3C21 – Ax? + B2 where A, B and C are positive constants. Calculate the r, y and z components of the electric field. 5.0, ,--B:+203, 2-3-4 Ex = 0, E, E-Bz +20y, E. =-By - A E, = -3C2 + 2A2, E= 0), E. =-3Ct-B E, = -Az +2Br, E, = 0, E: = -A-C E, = -Ay +2BC, E, = -Ar-C, E....
which of the following is a potential function for F(x,y,z)= < y2 +y?ex?,x2 + 2ye*?,xy + xy?e *V> f(x,y,z) = xyz + y2exyz f(x,y,z) = xyz + y2e*+2 b. F(x,y,z) has a potential function but it is not one of the other choices. F(x,y,z) does not have a potential function. d. f(x,y,z) = xyz + y2exZ e.
Over a certain region of space, the electric potential is V = 8x − 7x2y + 3yz2. (a) Find the expressions for the x, y, z components of the electric field over this region. (Use any variable or symbol stated above as necessary.) Ex = Ey = Ez = (b) What is the magnitude of the field at the point P that has coordinates (1.00, 0, -9.00) m?
The electric potential in a region is given by V = 5.00*x^3*y^2*z , where V is in volts, and coordinates x, y, and z are in meters. Determine the electric field at the point (2.00ˆi − 3.00ˆj − 4.00kˆ ) m . These are my teachers requirements if you could please follow them I would really appreciate it thank you :) In addition to being neat and clear, and actually answering the question, you must: 1) show the original principle...
6. You are in a region of space where the electric potential is given by: V(x,y,z) Voxy2ln(z) f for all points where z-0 (above the x-y plane)) Find an expression for the electric field Е(x, y, z). State this vectorially.
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Answers:
(x, y, z) dS for the following: (a) f(x, y, z) x+4 , where S is the portion of the generalized cylinder y2 +4z 16 cut off by the planesx 0, x-1 and z- 0 (b) f (c) f (x, y, z)-xyz, where S is the torus given in [12](e) (x, y, z)-xyz, where S is the portion of the cylinder y + z the planes x-1 and x 2 f(x, y,...
Throughout space some very bizarre collection of charges has created an electric potential that varies with position (x,y,z) as given by the equation: V(x,y,z) = 5.10 x2y3 z3 + 2.12 x+ y2 23 You are to determine all three components of the electric field: The x-component Ex - The y-component Ey = الا The Z-component Ez = K