Problem 10: (II) Point a is 62 cm north of a -3.8 μC point charge, and point b is 88 cm west of the charge (Fig. 17-40). Determine (a) V₁ Va and (b) Еы - Еa (magnitude and direction). ⚫ a 62 cm FIGURE 17-40 b Q=−3.8 μC Problem 27. 88 cm

A rod 14.0 cm long is uniformly charged and has a total charge of 22.0 C. Determine (a) the magnitude and (b) the direction of the electric field along the axis of the rod at a point 36.0 cm from its center.

Suppose a speck of dust in an electrostatic precipitator has 1.00001012 protons in it and has a net charge of 5.00 nC (a very large charge for a small speck). How many electrons does it have?

(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.

Three identical conducting spheres are fixed along a single line. The middle sphere is equidistant from the other two so that the center-to-center distance between the middle sphere and either of the other two is 0.125 m. Initially, only the middle sphere is charged, with qmiddle = +35.6 nC. The middle sphere is later connected by a conducting wire to the sphere on the left. The wire is removed and then used to connect the middle sphere to the sphere on the right. The wire is again removed. a. C What is the charge on each sphere? b. C Which sphere experiences the greatest electrostatic force? c. N What is the magnitude of that force?

(a) Find the electric field at the center of the triangular configuration of charges in Figure 18-54., given that qa=+ 2.50 nC, qb=-8.00 nC, and qc=+ 1.50 nC. (b) Is there any combination of charges, other than qa= qb=qc,that will produce a zero strength electric field at the center of the triangular configuration?

Two thin conducting plates, each 25.0 cm on a side, are situated parallel to one another and 5.0 mm apart. If electrons are moved from one plate to the other, what is the electric field between the plates?

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.

(II) Point a is 62 cm north of a –3.8 µC point charge, and point b is 88 cm west of the charge (Fig. 17–40). Determine (a) Vý – Va and (b) Ep – Ea (magnitude and direction). 62 cm FIGURE 17-40 b Q =-3.8 µC Problem 27. 88 cm

7) A wire with 4 meters length and constant charge density lambda = 4nC/m is placed diagonally on x-y plane. One end is at the origin and it makes 45 degrees with the x-axis. Find the integral expression for Ex at x=7 y=10