Sketch the electric field lines of the parallel plate capacitor and the variation of the following parameters as a function of position x inside the capacitor: electric potential produced by the capacitor, potential energy of the proton, total energy of the proton, and kinetic energy of the proton.

A parallel-plate capacitor has a capacitance of 570 pF, a plate area of 400 cm², and a mica dielectric (K = 5.40) completely filling the space between the plates. At 53.0 V potential difference, calculate (a) the electric field magnitude E in the mica, (b) the magnitude of the free charge on the plates, and (c) the magnitude of the induced surface charge on the mica. (a) Number (b) Number i M. (c) Number i jeda Units Units Units

Problem 18:   The electric potential in a certain region is given by the equation V(x,y,z) = 3αx2y3 - 2γx2y4z2 where the potential is in volts when the positions are given in meters. Part (d)  The constants in this equation are α = 5.2 V/m5 and γ = 1.39 V/m8. Using this information, calculate the magnitude of the electric field at the point (x1,y1,z1) = (-5.0, 2.0, 1.5) m in units of newtons per coulomb.

PP7