A  3-mC positive charge is located in a vacuum at P1(3, 2, 1) and a 4-mC negative charge is at P2 (1, 2, 3). Find (a) the vector force on the negative charge (b) the magnitude of the force on the charge at P1.

A non-conducting rod of length a is uniformly charged with the total charge +Q, and the rod along the x-axis. A small charge +q is at some point X, on axis x. Find the electrostatic force that the rod exerts on the point charge. +Q +9

A ball of conductor of radius RE has total Charge 2Q and a concentric spherical cavity of radius R₁ > RE. At the exact center of the cavity is a charge 3Q. Find the charge q at the radius RE and supply the missing numerical factor below. q=1 Q

A charge q1 of 44 µC is placed at the origin of the xy-coordinate system and a charge q2 of -72 µC is placed on the positive x-axis at x = 20 m. Calculate the magnitude of the net electric force being experienced by another charge q3 = 3 mC at point (20 m, 25 m) in N.

The figure shows a configuration of putual charges that has the value of q1=-2e, q2=2e, q3=4e, q4=e, where e is the fundamental charge. The angle that the charge q1 makes with the negative x axis is θ1= 35.0o. Determine: a) The magnitude of the net force on the charge at the origin b) The angle of the net force on charge four

A +2nC point charge is located in between a +5nC charged flat plate of area 1.2m2 and another point charge of -3nC. The latter is located 6mm to the right of the first (+2nC) point charge, along a line that intersects the plate at 90o. The plate is located 4.3mm from the first, (+2nC) charge. A) What is the total electric force exerted on the +2nC charge? B) What is the total electric force exerted on the -3nC charge? C) What is the total electric field “seen” by the +2nC charge, as generated by the -3nC and +5nC objects? D) What is the total electric field (magnitude and direction) “seen” by the +2nC charge, as generated by the -3nC and +5nC objects?  E) What is the electric field generated by flat plate (magnitude and direction), a distance 0.5mm away from it? F) What is the total electric field (magnitude and direction) generated by all three charges, at a location 2mm to the right of the -3nC charge?

Four solid plastic cylinders all have radius 2.55 cm and length 6.48 cm. Find the charge of each cylinder given the following additional information about each one. Cylinder (a) carries charge with uniform density 15.8 nC/m² everywhere on its surface. Cylinder (b) carries charge with uniform density 15.8 nC/m² on its curved lateral surface only. Cylinder (c) carries charge with uniform density 525 nC/m3 throughout the plastic. Cylinder (d) carries charge with uniform linear density 54.2 nC/m along the length of the plastic.