A potential function is given as:
1) Obtain the E(x,y,z)
2) Show that E is an acceptable static electric field
3) What is the charge density function corresponding to this potential?
A potential function is given as: 1) Obtain the E(x,y,z) 2) Show that E is an...
The equation of electric potential in space is given by: V(x,y,z) = 2xy/x 1. Calculate the electric potential at point (x = 1, y = -2, z = 3) in space. 2. Find the electric field E vector as a function of x, y, z. 3. Calculate the electric field at point (x = 1, y = -2, z = 3) in space.
Given the potential V=x^yz2 [V] find the electric field E at (x 1,y=2,z=1 (i) (ii) calculate the work done in moving a 2 uC charge from A-(1,1,1) to B-(4,-1,1)
3. Consider a particle of mass m moving in a potential given by: W (2, y, z) = 0 < x <a,0 < y <a l+o, elsewhere a) Write down the total energy and the 3D wavefunction for this particle. b) Assuming that hw > 312 h2/(2ma), find the energies and the corresponding degen- eracies for the ground state and the first excited state. c) Assume now that, in addition to the potential V(x, y, z), this particle also has...
3. The electric potential of a charge distribution is equal to V(x, y, z) = a + b xy + cz?, where a, b, c are constants. Write down the electric field as a function of the coordinates (x, y, z) (5 pts.)
The joint probability density function of the random variables X, Y, and Z is (e-(x+y+z) f(x, y, z) 0 < x, 0 < y, 0 <z elsewhere (a) (3 pts) Verify that the joint density function is a valid density function. (b) (3 pts) Find the joint marginal density function of X and Y alone (by integrating over 2). (C) (4 pts) Find the marginal density functions for X and Y. (d) (3 pts) What are P(1 < X <...
In a given region, there exists an electric field, E=(2 x+ z) ̂ i+ ( x−y) ̂ j+ (2 z−y)k̂ N/m⋅C . a. Determine the force felt by a 2.0C charge is placed at position (3.25, 7.5, -4.0) m. b. Determine the position of a 2.0C charge that feels a force of 15̂j N
Find the x,y, and z components of the electric field if the potential is given by V=4x^2+3y-z
a circular ring of charge of radius 1 m lies in the x-y plane and is centered at the origin. Assume also that the ring is in air and carries a density 2rho C/m. A) find the electric potential V AT (0,0,Z) b) Find the corresponding electric field E. (Assume electric field @point have x,y direction because Rho(l) is not constant)
The electrostatic potential (in volts) is given by Vx,y,z) 4.00 x Vo, where Vo is a constant, and x is in meters (a) Sketch the electric field for this potential. Choose File No file chosen This answer has not been graded yet. (b) Which of the following charge distributions is most likely responsible for this potential? O a point charge at the origin O a negatively charged flat sheet in the x0 plane O a positively charged flat sheet in...
(4) Suppose that the joint density function of X, Y and Z is given by )<y <<< 1 f(x, y, z) = { otherwise. (a) Find the marginal density fz(z) (b) Find the marginalized density fxy(x, y) 72 (c) Find E (2)