new field strength

Current Attempt in Progress An Electrostatic Positioner. You and your team are designing a device that can be used to position a small, plastic object in the region between the plates of a parallel-plate capacitor. A small plastic sphere of mass m = 1.10 × 10-2 kg carries a charge q = +0.190 μC and hangs vertically (along the y direction) from a massless, insulating thread (length/ = 10.0 cm) between two vertical capacitor plates. When there is no electric field, the object resides at the midpoint between the plates (at x = 0). However, when there is a field between plates (in the +x direction) the object moves to a new equilibrium position. (a) To what value should you set the field if you want the object to be located at x = 2.10 cm? (b) To what value should you set the field if you want the object to be located at x = -3.15 cm? (a) Number i Units (b) Number i Units

An electric dipole with a dipole moment is inserted in a uniform electric field 35- as in Figure. Due to the torque on the dipole applied by the electric field, the dipole rotates around an axis O perpendicular the plane of the field. Which of the followings is/are true about the dipole? I) Its moment of inertia around the rotation axis is constant. II) Its angular acceleration is constant during the rotation as the magnitudes of and are constant. III) The magnitude of the torque is constant during the rotation as the magnitudes of and are constant.

Answer: A. Which ball (one on the right or one on the left) has a positive charge? B. What is the Magnitude E of the field?

Give an example of a nonconstant field with zero divergence.  Give an example of a field with a constant negative divergence.