13. What is the magnitude of the electric field (in N/C) at the point (31-2)+4) m if the electric potential in the region is given by V = 2xyz2, where V is in volts and coordinates x, y and z are in meters? (1) 150 (2) 64 (3) 96 (4) 250 (5) 160

A spherical conductor has a radius of 8 mm and a charge of 20μC. Calculate the electric field and the electric potential at:(a) r = 8 mm from the center (b) r = 12 mm and (c) r = 6 mm

: Suppose the electric potential at (x, y) is given by f(x, y) = 0.5 Ln(xpow2 + ypow2) estimate the error and percent relative error in f(x, y) given that x=1±0.2 and y=1±0.5

The Bohr radius ao is the most probable distance between the proton and the electron in the Hydrogen atom, when the Hydrogen atom is in the ground state. The value of the Bohr radius is: 1 ao = 0.529 angstrom. One angstrom is 10-10 m. What is the electric potential produced by the proton at a distance of 1.12 Bohr radius away from the proton? Submit Answer What is the potential energy of the proton-electron system when they are at this distance from each other? Submit Answer

k₂Q Inside a conducting sphere with charge Q and radius R, the electric potential is given by V = the electric field inside and outside the sphere. (Use the following as necessary: ker Q, rand R.) (a) inside E₁ = (b) outside E(r> R) = and outside it is given by V = keq Using Er = dv dr I derive an expression for the magnitude of

Consider an electric potential as a function of the distance r, 1 2A V(r) = (1 - ²/ ((₁-²4) (₁ + ¹24² ) - 1). 2 What happens to the electric field at r = 6A? OA. E>0 OB. E<0 OC. E=0 OD. Ē→ ∞

... Path of trajectory AV w An electron is fired at a speed v¡ = 3.4 x 106 m/s and at an angle 0; = 30.5° between two parallel conducting plates as shown in the figure. If s = 1.5 mm and the voltage difference between the plates is AV = 98 V, determine how close, w, the electron will get to the %3D %3D bottom plate. Put your answer in meters and include at 6 decimal places in your answer. Do not include units. The x-axis of the coordinate system is in the middle of the parallel plate capacitor. Round your answer to 6 decimal places.

Question 3. Using the general expression V(r,0) = Eo (A,r +) P.(cos0) for the potential at a %3D distance r from the center of a sphere shell of radius R. The acceptable expressions for potentials inside and outside the shell are: V(r,e) E, A,r' P;(cos®) (rSR) and V (r,0) = Eo P.(cose) (r2 R) %3D A constant charge density oo is ghed over the surface of the shell Determine the potential inside and outside the shell for this charge distribution

What is the magnitude of the electric field at the point (8.10i - 5.80j+9.40 k) m if the electric potential is given by V= 8.50xyz?, where Vis in volts and x, y, and z are in meters?

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