An uncharged dielectric cylinder of radius a is placed perpendicular to a previously uniform field Eo in the x-direction. Find Phi inside and outside of the cylinder.

Given a charge q1=50nC located at the XY coordinates (5m, 10m) and a charge q2=-20nC located at the XY coordinates (-3m, -1m). The field point has coordinates (-3m, 4m). Find the magnitude and angle direction of the force on an electron placed at the field point?

A point charge q= 4.7 uC is placed at each corner of an equilateral triangle with sides 210mm in length. (a) What is the magnitude of the electric field at the midpoint of any of the three sides of the triangle? b) is the magnitude of the elctric field at the ceneter of the triangle less than, greater than or the same as the magnitufr at midpoint of a side? Draw a skwtch with all apprpoate vectors.

Four equal charges, q, are fixed at the corners of a square of side a in the xy-plane centered on the origin. A bead of mass m and charge -q is positioned at the origin. A thin, frictionless string along the z-axis threads the bead, thus restricting its mo- tion to the z-axis. The bead is then displaced from the origin by a small amount Zo < 0 and released from rest. Show that the bead undergoes simple harmonic motion (to a very good approximation), and derive an expression for its period of oscillation in terms of known parameters.

Supposeq1 = +2.90 mC is no longer at the origin, but is now on the y axisbetween y = 0 and y = 0.500 m. The charge q2 = +2.90 mC is atx = 0 and y = 0.500 m, and point 3 is at x = y = 0.500 m. (a)Is the magnitude of the net electric field at point 3, which wecall Enet, greater than, less than, or equal to its previous value?Explain. (b) Is the angle u that Enet makes with the x axis greaterthan, less than, or equal to its previous value? Explain. Find thenew values of (c) Enet and (d) u if q1 is at y = 0.250 m

A uniform electric field exists in a region between two oppositely charged plates. An electron is released from rest at the surface of the negatively charged plate and strikes the surface of the opposite plate, 2.0 cm away, in a time 1.5 X 10-8 s. (a) What is the speed of the electron as it strikes the second plate? (b) What is he magnitude of the electric field Ē?