(20 pts) Given an electric potential V-2x3 + y, find a symbolic equation for the electric...
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.
A charge distribution creates an electric potential that obeys the function:V(x) = 2x3-5x-x 1 A) Find the value of the electric field at x--2 B) Find the location x where the field is maximum C) Plot V(x) and E(x) on the same coordinate system using: https://www.graphsketch.com/ download the graph and display on PPT
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)
5. A hollow sphere of radius R has a potential on the surface of V(θ, d) Vo cos θ. There is no a) Find the potential everywhere inside and outside the sphere. b) Find the electric field everywhere inside the sphere. (You will find it easier to convert the potential to Cartesian coordinates and then find the field.) c) Find the charge density σ(0) on the surface of the sphere using Gauss' law. charge inside or outside the sphere.
Find the x,y, and z components of the electric field if the potential is given by V=4x^2+3y-z
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.)
Figure 4: Problem 1.(8) PROBLEM 2: (14 pts) Consider an electric scalar potential distribution V - 5xy-3 -uz Part A (7 pts) What is the electric field distribution E? Part B (7 pts) What is the charge density (or charge distribution) pu?
The electric potential of a charge distribution is given by the equation VKY.Z) = 2xy-372 -42where x,y,z are measured in meters and Vis measured in volts. Calculate the magnitude of the electric field vector at the position xyz)-(1.0, 1.0, 1.0). Select one: O a. 14.2 V/m b. 18.2 V/m O C. 12.2 V/m d. 10.2 Vim ОО e. 16.2 Vim
The electric potential over a certain region of space is given by V = a x? y – bxz – cy?, where a = 8 V/mº, b = 6 V/m², and c = 3 V/m². Find the electric potential at the point (x, y, z) = (1 m, 6 m, 6 m). Answer in units of V. 008 (part 2 of 4) 10.0 points Find the x-component of the electric field at the same point. Answer in units of V/m....
**#4** unit cube 4. Given the potential field V -50xyz+20y (V) in free space, at the point P(1.2,3), find: (a) the potential; (b) the electric field intensity; (c) charge density. 5. The electrostatic field in the atmosphere is 100 V/m at the surface of the earth, dropping to 25 V