Given the potential V=x^yz2 [V] find the electric field E at (x 1,y=2,z=1 (i) (ii) calculate...
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.
Find the x,y, and z components of the electric field if the potential is given by V=4x^2+3y-z
Given the potential V = 2xy?, calculate the work done by the field moving a 10 uC charge from point A (1,3,4) to point B (2,5,8). Assume the potential is given in volts.
9. The work done by the force F(x, y) (2at +e) i (4y in moving a particle -re from (0,0) to (1,1) along the curve y =x4 needs to be calculated. a. Show that F is a conservative vector field. b. Describe three different ways to calculate the work. Answer: 3 +1/e c. Calculate the work by a method of your choice.. a. Show that F=(y+yz) i + (x + 32 + xz) j +(9yz2 + y 1) k is...
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? O(x, y, z) = -x²y- rz3
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
2 волеон 1. PBrs Он Electric Field in polar (r and e) form = Magnitude of net field Direction angle of net field e) The force acting on a charge is given by F =qE - E. (x-dir) + qEy (y-dir). Given this, calculate the force on a 2.00 C charge placed at the origin. Do this in both polar and Cartesian coordinates. Electric Force in rectangular (x and y) form = X-component y-component Electric Force in polar (r and...
1. Find the electric field (in vacuum) as a function of position z along the axis of a uniformly charged disk of outer radius R with a hole of radius R in its centre. The charge per unit area on the disk is σ. 2, A straight rod, with uniform charge λ per unit length, lies along the z axis from z=11 to z=12-(Thus, the length of the rod is l2-11.) Find the x and y components of the electric...
The electric potential at a certain point is given by V(x, y, z)= (-25.2 V/m4)x2y2 + (1.5 V/m6)xy4z - (7.8 V/m4) z3y. Determine the unit vector form, E = [(+/-abc V/m)i + (+/-def V/m)j + (+/-mp.n V/m)k], of the electric field E at the point (-2.3 m, 3.3 m, -1.1 m) to give that potential. Give the x component of electric field in the form x component = "+/-abcd" V/m
4. Find the potential as a function of position in an electric field given by E = a x i, where a is a constant and where V = 0 at x = 0. 5. A charge +Q lies at the origin, and a charge –3Q at x = a. Find two points on the x – axis where V = 0.