Determine the force on the 5.0 nC charge. Enter the x and y components of the force in newtons separated by a comma. ΞΑΣΦ ? N F₂, F,-1.27 104,1.3.10 1.3•10-2 N C N

What is the magnitude and direction of an electric field that exerts a 1.70x105 N downward force on a -1.50 µC charge? Direction Downward Upward To the right To the left

A small 4 g plastic ball is suspended by a 23.2 cm long string in a uniform electric field 960 N/C as shown. The ball is in equilibrium when the string makes a 43◦ angle with the vertical. Find the relationship among θ, mg, and  q E.

What is the magnitude of the force a +30 μC charge exerts on a +2.9 mC charge 48 cmcm away? Express your answer to two significant figures and include the appropriate units.

O O Three 2.50 mC charges are placed on tiny conducting spheres at the ends of 1.00 m-long strings that are connected at 120° angles as shown below. The magnitude, in N, of the force on the knot at the center is Select one: 5.63 x 10 -2 b. 3.75 x 10 2 C. 6.5x 10-2 d. 0. e. 7.5x 10 2

+20 Two identical conducting spheres are charged to +2Q and -Q. respectively, and are separated by a distance d (much greater than the radii of the spheres) as shown above. The magnitude of the force of attraction on the left sphere is F,. After the two spheres are made to touch and then are re-separated by distance d, the magnitude of the force on the left sphere is F2. Which of the following relationships is correct? O a F1 = 2F2 O b 2F, = F2 Oc F1 = F2 O d F1 = 8 F2

Two tiny beads are 25 cm apart with no other charges or fields present. Bead A carries 10 uC of charge and bead B carries I uC. Which one of the following statements is true about the magnitudes of the electric forces on these beads? The force on A is 10 times the force on B. O The force on Bis 10 times the force on A. The force on Bis 100 times the force on A O The force on A is esactly equal to the force on B. The force on A is 100 times the force on B.

25. A continuous line of charge lies along the x axis, extend- ing from x = + x, to positive infinity. The line carries a uniform linear charge density Ap. What are the magni- tude and direction of the electric field at the origin? 26. A line of charge starts at x = +xg and extends to posi- tive infinity. If the linear charge density is A = Ap xa /x, determine the electric field at the origin. 27. A uniformly charged ring of radius 10.0 cm has a total charge of 75.0 µC. Find the electric field on the axis of the ring at (a) 1.00 cm, (b) 5.00 cm, (c) 30.0 cm, and (d) 100 cm from the center of the ring. 28. Show that the maximum field strength Emax along the axis of a uniformly charged ring occurs at x = a/V2 (sce Fig. 23.17) and has the value Q/(6v3me,a*). 29. A uniformly charged disk of radius 35.0 cm carries a charge density of 7.90 x 10- C/m?. Calculate the electric field on the axis of the disk at (a) 5.00 cm, (b) 10.0 cm, (c) 50.0 cm, and (d) 200 cm from the cen- •0 Figure P23.33…

Figure Two tiny spheres of mass 5.80 mg carry charges of equal magnitude, 82.0 nC , but opposite sign. They are tied to the same ceiling hook by light strings of length 0.530 m. When a horizontal uniform electric field E that is directed to the left is turned on, the spheres hang at rest with the angle 0 between the strings equal to 58.0° (Figure 1). 1 of 1 L L E What is the magnitude E of the field? Express your answer with the appropriate units. HÀ ? E = Value Units

59. Identical thin rods of length 2a carry equal charges, +Q, uniformly distributed along their lengths. The rods lie along the x axis with thcir centers separated by a distance of b> 2a (Fig. P23.59). Show that the magni- tude of the force exerted by the left rod on the right one is given by In 62 - 4a? F