a) A potential varies as V = 2300 X2 + 10000 Y3 + 300 YZ. Write down all three components of the associated electric field.
b) Given V = X sin(30Y) Z3, Write down all three components of the associated electric field.
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
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 x y z3 + 2.12 x y z You are to determine all three components of the electric field: The x-component Ex = ܙܢ The y-component Ey = The Z-component Ex- R
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) - 6.61 x*y? + 3.75 x y224 You are to determine all three components of the electric field: The x-component Ex- The y component E, - The 2-component E,-
If the electric potential varies as ? = 3 ?^2 ? + 2 ? ?^2 , where x and y are both expressed in meters, determine: a) an algebraic expression for the x and y components of the electric field b) numerical values for the components of the electric field at the point (2, 5) ?
1. Consider a charged particle bound in the harmonic oscillator potential V(x) = mw x2. A weak electric field is applied to the system such that the potential energy, U(X), now has an extra term: V(x) = -qEx. We write the full Hamiltonian as H = Ho +V(x) where Ho = Px +mw x2 V(x) = –qEx. (a) Write down the unperturbed energies, EO. (b) Find the first-order correction to E . (c) Calculate the second-order correction to E ....
2. Determine whether there is a potential function for the vector field V= <yz, xz, xy>. You may use any legitimate method but you must justify your claim. If it there is a potential function, then find it and use it to evaluate the line integral ſ v.dr along the curve r(t) = <V7,4-4,6+1>ifor Osts 4. [10] 4. Suppose S is the surface z= x² + 4y’, lying beneath the plane z=1. Orient S by taking the inner normal n...
The electric potential in a region of space is V=( 260 x2? 150 y2)V, where x and y are in meters. What is the direction of the electric field at (x,y)=(3.0m,3.0m) ? Give the direction as an angle (in degrees) counterclockwise from the positive x-axis. I keep getting 331 degress. I have tried 30 and 210 as well, but they are all wrong..
The electric potential at points in an xy plane is givenby V = (2.9 V/m2)x2 -(2.7V/m2)y2. What are(a) the magnitude of the electric field at thepoint (3.4 m, 1.9 m) and (b) the angle that thefield there makes with the positive x direction.
The electric potential at points in an xy plane is givenby V = (3.0 V/m2)x2 -(3.8V/m2)y2. What are(a) the magnitude of the electric field at thepoint (4.3 m, 1.7 m) and (b) the angle that thefield there makes with the positive x direction.
The electric potential at points in an xy plane isgiven by V = (2.2 V/m2)x2-(3.7 V/m2)y2. What are(a) the magnitude of the electric field at thepoint (3.3 m, 2.6 m) and (b) the angle that thefield there makes with the positive x direction. (a) Number Units N/C or V/m (b) Number Units ° (degrees)