Two identical conducting small spheres are placed with their centers 0.400 m apart. One is given a charge of -12.0 nC and the other a charge of -13.0 nC. (a) Find the electric force exerted by one sphere on the other. magnitude N direction -Select- (b) The spheres are connected by a conducting wire. Find the electric force each exerts on the other after they have come to equilibrium. magnitude N direction -Select-

The figure below shows a small, charged sphere, with a charge of q = +42.0 nC, that moves a distance of d = 0.188 m from point A to point B in the presence of a uniform electric field E of magnitude 250 N/C, pointing right. A B + (a) What is the magnitude (in N) and direction of the electric force on the sphere? magnitude N direction ---Select--- (b) What is the work (in J) done on the sphere by the electric force as it moves from A to B? (c) What is the change of the electric potential energy (in J) as the sphere moves from A to B? (The system consists of the sphere and all its surroundings.) PER - PEA = (d) What is the potential difference (in V) between A and B? VB - VA V

Common transparent tape becomes charged when pulled from a dispenser. If one piece is placed above another, the repulsive force can be great enough to support the top piece's weight. Assuming equal point charges (only an approximation), calculate the magnitude of the charge if electrostatic force is great enough to support the weight of a 16.3 mg piece of tape held 0.64 cm above another. (The magnitude of this charge is consistent with what is typical of static electricity.) (C)

Two charged particles are a distance of 1.82 m from each other. One of the particles has a charge of 8.22 nC, and the other has a charge of 4.02 nC. (a) What is the magnitude (in N) of the electric force that one particle exerts on the other?   N (b) Is the force attractive or repulsive? attractiverepulsive

The figure below shows a small, charged sphere, with a charge of q = +41.0 nC, that moves a distance of d = 0.162 m from point A to point B in the presence of a uniform electric field E of magnitude 290 N/C, pointing right. 9 A E d (a) What is the magnitude (in N) and direction of the electric force on the sphere? N magnitude direction = B + --Select--- (b) What is the work (in J) done on the sphere by the electric force as it moves from A to B? J (c) What is the change of the electric potential energy (in J) as the sphere moves from A to B? (The system consists of the sphere and all its surroundings.) PEB - PEA J (d) What is the potential difference (in V) between A and B? VB-VA = V

P10

Three dots are resting on the vertices of a triangle. The sides of the triangle have a length of a = 0.68 m, as shown. Two of the dots (S1 and S3) have +6.5 µC charge, while the other (S2) has −6.5 µC charge. (a) Find the direction of the net force on the third dot (S3) in degrees counterclockwise from the +x-axis.   (b) Find the direction of the net force on the third dot (S3) when it is moved to the origin in degrees counterclockwise from the +x-axis.

Two charged particles are a distance of 1.72 m from each other. One of the particles has a charge of 7.03 nC, and the other has a charge of 3.86 nC. (a) What is the magnitude (in N) of the electric force that one particle exerts on the other?   (b) Is the force attractive or repulsive?

Two charged particles are a distance of 1.82 m from each other. One of the particles has a charge of 6.75 nC, and the other has a charge of 4.30 nC.   (a) What is the magnitude (in N) of the electric force that one particle exerts on the other?     (b) Is the force attractive or repulsive?

(a) Two charged particles exert an electric force of 11 N on each other. What will the magnitude of the force be if the distance between the particles is reduced to one-third of the original separation? (b) If the original distance between the particles is now restored, how much larger would the charge on either one of the particles have to become to yield the same force that was present when the particle separation was only one-third its original value? times