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- 1. Two 1-C negatively charged objects lie along a line as shown. The x's marked B and D lie along a line that is half way between the two charges. For locations A, B, and C, draw force diagrams for a positive test charge at those locations in the boxes provided. Make sure you get the relative lengths of the force vectors correct. Location A Ax Bx C Ꭰ * E x Location B Location C On the diagram, draw an arrow for each of the five locations marked with an x that shows the direction of the electric field at that location. If the electric field is zero at any location, state that explicitly. Suggestion: use the force diagrams for the test charge, and add the forces using the head-to-tail method.6. An infinite line is uniformly charged with a linear charge density A.Find a formula describing the electric field at a distance z from the line.A point charge, q = -5.0 nC, and m = 2.0 x 10-18 kg, is shot vertically upward with an initial speed of 3.0 x 105 m/s from a thin, infinite, planar sheet of uniform charge with surface charge density of σ = +4.0 . To what vertical elevation will q rise above the sheet of charge? Neglect gravity. a. 6.0 cm b. 8.0 cm c. 5.0 cm d. 4.0 cm e. 7.0 cm
- 1. Three identical metallic conducting spheres carry the following charges: 91 = +5.00 μC, q2 = +1.40 µC, and 93 -9.20 μC. The spheres that carry the charges 9₁ and 92 are brought into contact. Then they are separated. After that, one of those two spheres is brought into contact with the third sphere that carries the charge 93; those two are then separated as well. ROJS a) What is the final charge on the third sphere?60 SS μC sf60 s60 s ssf60 ssfo ssf603 60 ssf60 ssiFour equal charges (all +q) are placed on the corners of asquare with side length a. a.) Find an algebraic expression for the magnitude of theelectric force felt by the charge in the lower left-hand corner(circled) due to the other charges. b.) Make a sketch of the electric field lines associated with this charge distribution. Be sure to draw linesboth inside and outside the square.1. Consider the diagram below. a. A pair of insulated metal spheres, A and B, touch each other, so in etfect they form a single uncharged conductor. b. A positively charged rod is brought near A, but not touching, and electrons in the metal sphere are attracted toward the rod. Charges in the spheres have redistributed, and the negative charge is labeled. Draw the appropriate + signs that are repelled to the far side of B. c. Draw the signs of charge when the spheres are separated while the rod is still present, and
- 1. The diagram shows two charged parallel plates. Red represents the positively charged plate and blue represents the negatively charge. If a particle with a charge of 3 mC is placed at point P, toward which plate will it move? Explain.A conductive "hollow" sphere has a total charge -2Q. A charging point + Q is in the center. Determine the total load on the outer surface. a. -Q b. +Q c. -3Q d.+2QThere could be charge on C, but there is no 1. net charge on C. 2. There cannot be charge on C. There could be charge on C and there is net 3. charge on C. C A metal block containing a cavity and car- rying a net charge –Q is located near a pos- itive charge +q_as shown in the figure. In static equilibrium, can there be any charges on the inner surface C of the cavity?
- A solid spherical conductor has charge + Q. Determine where this charge is located on the sphere. a. -Q in the center of the sphere and + 2Q in the surface of the sphere b. + Q evenly distributed across the dial c. + Q in the center of the sphere d. + Q evenly distributed on the surface of the sphere1.Charge, Q= 2.20nC is uniformly distributed along the thin rodof length, L= 1.20m shown above. a.Determine the linear charge density of the rod. b.Determine an expression for charge dqon an infinitesimally small section of the rod of length dxin terms of the charge density and dx. c.The point P1is located a distance a= 0.300m from the end of the rod. Determine an expression for the distance, rbetween the point P1and an arbitrary chunk of the rod located an arbitrary distance xfrom the origin (between 0 and L). d.Determine an expression for the electric field dEat P1due to only the arbitrary chunk of the rod from part c. Use k, λ, x, L, and a. e.Determine the net electric field, Eat a point P1due to the entire rod.4. Three conductor plates (Figure 2) are placed vertically and loaded Q1, Q2, and Q3 charges respectively. Both the sides of plates have surface charge density σ and σb (i=1, 2, and 3). If the surface area of each plate is A and the distance between plates is t, then calculate the surface charge densities σ, and σ for each plate. Note: consider that the plate is large enough to use infinitive symmetry approach. 01a 01b 02a 02b Оза 03b Q1 Q2 Q3 Figure 4