(i) A metallic sphere A of radius 1.00 cm is several centimeters away from a metallic spherical shell B of radius 2.00 cm. Charge 450 nC is placed on A, with no charge on B or anywhere nearby. Next, the two objects are joined by a long, thin, metallic wire (as shown in Fig. 25.19), and finally the wire is removed. How is the charge shared between A and B? (a) 0 on A. 450 nC on B (b) 90.0 nC on A and 360 nC on B, with equal surface charge densities (c) 150 nC on A and 300 nC on B (d) 225 nC on A and 225 nC on B (e) 450 nC on A and 0 on B (ii) A metallic sphere A of radius 1 cm with charge 450 nC hangs on an insulating thread inside an uncharged thin metallic spherical shell B of radius 2 cm. Next, A is made temporarily to touch the inner surface of B. How is the charge then shared between them? Choose from the same possibilities. Arnold Arons, the only physics teacher yet to have his picture on the cover ol Time magazine, suggested the idea for this question.

A particle with charge 3.00 nC is at the origin, and a particle with negative charge of magnitude Q is at x = 50.0 cm. A third particle with a positive charge is in equilibrium at x = 20.9 cm. What is Q?

Two charges, 91 and 92, are located at the origin and at (0.50 m, 0), respectively. Where on the x-axis must a third charge, 93, of arbitrary sign be placed to be in elec-trostatic equilibrium if (a) 91 and 92 are like charges of equal magnitude,  (b) 91 and 92 are unlike charges of equal magnitude, and (c) 91 +3.0 uC and92 = -7.0 μC? ?

(b) Three point charges are at the corners of a equilateral triangle as shown in figure. Find the magnitude and direction of the resultant electrostatic force on +7uC charge. [Given Data, Coulomb constant ke 8.99x10° Nm2/C'] [5 Marks] 7.00 µC 0.300 m 60.0° 500 µC -6.00 µC

Two small identical conducting spheres are placed with their centers 0.25 m apart. One is given a charge of 12 x 10-9 C, the other a charge of –17 x 10-9 c. (a) Find the electrostatic force exerted on one sphere by the other. magnitude N direction --Select--- v (b) The spheres are connected by a conducting wire. Find the electrostatic force between the two after equilibrium is reached, where both spheres have the same charge. magnitude direction ---Select--- v

Metal sphere A has a net charge of +10.0 C, it is brought in contact with a neutral metal sphere 8 and then separated. Find the final charges on sphere A and B if  (a) the sphere have equal radius and 3.  (b) if the radius of sphere B is twice the radius of sphere A.

A charge of -3.0 µC is located at the origin; a charge of 4.0 µC is located at x = 0.2 m, y= 0;a third charge Q is located at x = 0.32, y= 0. The force on the 4.0 µC charge is 240 N, directed inthe positive x direction.a) Determine the charge Q. (b) With this configuration of three charges, where, along the x direction, is the electric field zero?

Ch 18, Problem 45 Two charges are located on the x axis: q1 = +6.1C at x1 = +5.1 cm, and q2 = +6.1C at x2 = -5.1 cm. Two other charges are located on the y axis: q3 = +2.3C at y3 = +4.4 cm, and q4 = -5.8C at y4 = +6.3 cm. Find (a) the magnitude and (b) the direction of the net electric field at the origin.

(a) By what factor must you change the distance between two point charges to change the force between them by a factor of 10? (b) Explain how the distance can either increase or decrease by this factor and still cause a factor of 10 change in the force.