A positive charge Q=3 mC is placed inside a spherical conducting shell with inner radius a and outer radius b which has an extra charge of 2 mc placed on it. When all motion of charges ends, then the charges on the inner and outer surfaces of the shell are
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- Two large parallel conducting plates carry charges of equal magnitude and opposite charge. When you place a point charge q = +3.60 nC between the plates, the force on the point charge is 22.0 mN. What is the magnitude of the surface charge density on either plate?Problem 12: A uniformly charged rod of length L = 1.4 m lies along the x-axis with its right end at the origin. The rod has a total charge of Q = 8.2 μC. A point P is located on the x-axis a distance a = 1.8 m to the right of the origin. Part (a) Consider a thin slice of the rod of thickness dx located a distance x away from the origin. What is the direction of the electric field at point P due to the charge on this thin slice of the rod? Part (b) Write an equation for the electric field dE at point P due to the thin slide of the rod dx. Give your answers in terms of the variables Q, L, x, a, dx, and the Coulomb constant, k. Notice that the coordinate x will be less than zero over the length of the rod. Part (c) Integrate the electric field contributions from each slice over the length of the rod to write an equation for the net electric field E at point P. Part (d) Calculate the magnitude of the electric field E in kilonewtons per coulomb (kN/C) at point P due to the charged…Two uncharged, conducting spheres are separated by a distance d. When charge −Q is moved from sphere A to sphere B, the Coulomb force between them has magnitude F0. Is the Coulomb force attractive or repulsive? If an additional charge −Q is moved from A to B, and the distance between the centres of the spheres is doubled, what is the ratio of the new Coulomb force to the original Coulomb force?
- 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 identical conducting spheres, fixed in place, attract each other with an electrostatic force of 0.0895 N when their center-to-center separation is 66.1 cm. The spheres are then connected by a thin conducting wire. When the wire is removed, the spheres repel each other with an electrostatic force of 0.0282 N. Of the initial charges on the spheres, with a positive net charge, what was (a) the negative charge on one of them and (b) the positive charge on the other? (Assume the negative charge has smaller magnitude.) (a) Number (b) Number Units UnitsTwo red blood cells each have a mass of 9.05 x 10-¹4 kg and carry a negative charge spread uniformly over their surfaces. The repulsion arising from the excess charge prevents the cells from clumping together. One cell carries -3.00 pC and the other -2.90 pC, and each cell can be modeled as a sphere 3.75 x 10-6 m in radius. If the red blood cells start very far apart and move directly toward each other with the same speed, what initial speed would each need so that they get close enough to just barely touch? Assume that there is no viscous drag from any of the surrounding liquid. initial speed: What is the maximum acceleration of the cells as they move toward each other and just barely touch? maximum acceleration: m/s m/s²
- Answer the followingTwo identical, small insulating balls are suspended by separate 0.21-m threads that are attached to a common point on the ceiling. Each ball has a mass of 7.7 × 10-4 kg. Initially the balls are uncharged and hang straight down. They are then given identical positive charges and, as a result, spread apart with an angle of 50° between the threads. Determine (a) the charge on each ball and (b) the tension in the threads. A F₁Two point particles with charges +7 μC and +3 μC are held in place by 5-N force on each charge in appropriate directions. How far apart are the two charges (in meters)?
- Two charges are located on the x axis: q₁ = +4.6 μC at x₁ = +4.7 cm, and q2 = +4.6 μC at x2 = -4.7 cm. Two other charges are located on they axis: 93 = +2.9 μC at y3 = +5.3 cm, and 94 = -8.5 μC at y4 = +7.9 cm. Find (a) the magnitude and (b) the direction of the net electric field at the origin. (a) Number i (b) The net electric field points Units 94 93Four identical metal spheres have charges of qA = -8.0 μC, qb=-2.0 μC, qc=+5.0 µC, and qp=+12.0 µC. (a) Two of the spheres are brought together so they touch, and then they are separated. Which spheres are they, if the final charge on each one is +5.0 μC? A and C V (b) In a similar manner, which three spheres are brought together and then separated, if the final charge on each of the three is +3.0 µC? A+B+D B+C+D A+B+D A+C+D A+B+C N = Number harge on each of the three separated spheres in part (b) is +3.0 µC. How many electrons would have to be added to one of to make it electrically neutral? i UnitsA solid metallic sphere with a radius of rA - 5.00 cm is located inside a hollowed metallic sphere (radii B = 8.00 cm and rc = 12.0 cm); the spheres are concentric with each other and they are electrically insulated from each other. The inner sphere has a charge of-45.0 μC while the hollowed sphere has a charge of +80.0 μC.. What is the surface charge density on the outer surface (the one with rc = 12.0 cm)? To +691 μC/m² + 193 μC/m² -663 μC/m² +4427C/m² - 249 μC/m² W