Two uncharged spheres are separated by 2.80 m. If 4.30 ✕ 1012 electrons are removed from one sphere and placed on the other, determine the magnitude of the Coulomb force (in N) on one of the spheres, treating the spheres as point charges.

Two positive charges each of charge q are fixed on the y-axis, one at  y = d  and the other at  y = −d  as in the figure shown below. A third positive charge 2q located on the x-axis at  x = 2d  is released from rest.     Three positive charges lie along the axes of an x y-coordinate plane. Charge q lies a distance d above the origin. Charge q lies a distance d below the origin. Charge 2q lies a distance 2d to the right of the origin. (a) Find a symbolic expression for the total electric potential due to the first two charges at the location of the charge 2q. (Use any variable or symbol stated above along with the following as necessary: ke for the Coulomb constant.) V =          (b) Find a symbolic expression for the electric potential energy of the charge 2q. (Use any variable or symbol stated above along with the following as necessary: ke for the Coulomb constant.) PE =  4keq2√5d​       (c) Find a symbolic expression for the kinetic energy of the charge 2q after it has moved…

Two identical metal spheres A and B are connected by a plastic rod. Both are initially neutral. 1.0 × 1012 electrons are added to sphere A, then the connecting rod is removed. Afterward, what are the charge of A and the charge of B?

Three charges, q1 = 1 µC, q2 = 2 µC and q3 = 3 µC are placed in a line with 20 cm between %3D each of them. So qat a = 0, q2 at z = 20 cm and q3 at z = 40 cm. Calculate the energy stored in the collection of charges. (a) -0.62 J (b) -0.43 J (c) +0.43 J (d) +0.62 J

how many electrons must be removed from a neutral , isolated conducting sphere to give it a positive charge of 1.0 x  10 ^6 C.

Two uncharged spheres are separated by 2.50 m. If 2.20 ✕ 1012 electrons are removed from one sphere and placed on the other, determine the magnitude of the Coulomb force (in N) on one of the spheres, treating the spheres as point charges.

A charge Q= 3nC is uniformly distributed over a ring of radius a = 6 cm. An electron is released from rest at point C, which is 8 cm away from the center O of the ring. Find the speed (in 10° m/s) of the electron as it passes through point O. Hint: me = 9.11x10-3 kg.

Two point charges are placed on the x-axis. 12 µC at x = 0.6 m, and -15 µC at x = -0.6 m. Determine the magnitude and direction of the electric field on the y-axis at y = 0.45 m.

How many electrons must be removed from a neutral object to leave a net charge of Q2 = 2.1 μC?

Four point charges are held fixed in space on the corners of a rectangle with a length of 20 [cm] (in the horizontal direction) and a width of 10 [cm] (in the vertical direction). Starting with the top left corner and going clockwise, the charges are q1=+10 [nC] , q2=−10[nC] , q3=−5[nC] , and q4=+8[nC] .a) Find the magnitude and direction of the electric force on charge q4b) Find the magnitude and direction of the electric field at the midpoint between q3and q4c) Find the magnitude and direction of the electric field at the center of the rectangle.