Particle 1 has mass 9.81 kg and charge 9.82 C. Particle 2 has mass 6.21 kg and charge -8.76 C. Find the magnitude of the electric field at point P in the figure if a = 1.59 m and b = 8.47 m. Answer in units of N/C. %3D Q1
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- Two charges, q1 = 11 μC and q2 = 66 μC are fixed in place along the y axis at (0, 15) cm and, respectively, (0, −90) cm. a. Find the magnitude of the electric force exerted by q2 on q1. b. Find the magnitude of the net electric field produced by these charges at the origin. c. is there a point on the x axis where the net electric field is zero?1a. What must the charge (sign and magnitude) of a 1.70 g particle be for it to remain balanced against gravity when placed in a downward-directed electric field of magnitude 600 N/C ? 1b. What is the magnitude of an electric field in which the electric force it exerts on a proton is equal in magnitude to the proton's weight?9. What is the magnitude of the electric field in the center of a ring with radius a having a charge Q uniformly distributed around it? a. Zero b. kQ/2x c. kQ/a? d. kQ/2a Solution:
- 1. Calculate the magnitude and direction of the electric field 2.1 m from a long wire that is charged uniformly with a linear charge density of λ= 3.9-10 ° C/m. Hint: You can assume that the wire is infinitely long. If the wire is infinitely long, what happens to the components of the electric field in the plane perpendicular to the z-axis in the figure? Which components of the electric field survive and which don't? 1 P AZ Z xvi X k N/CQ9. In Figure given below the four particles form a square of edge length a = 5.00 cm and have charges ql =+10.0 nC, q2=-20.0 nC, q3 = +20.0 nC, and q4=-10.0 nC. In unit-vector notation, what net electric field do the particles produce at the square's center? Answer: (1.02 x 10-11 N/C)j^A3
- 7. A proton initially moves left to right long the x axis at a speed of 4 x 10° m/s. It moves into an electric field, which points in the negative x direction, and travels a distance of 0.8 m before coming to rest. If the proton's mass and charge are 1.67 x 10-27 kg and 1.60 x 10-19 C respectively, what is the magnitude of the electric field? a. 1.67 N/C b. 0.01 N/C c. 0.104 N/C d. 0.13 N/C8. Three point-like charges are placed as shown in the figure, a = 38.0 cm and b = 54.0 cm. The charge (93) is placed +1.80 µC, 92 = -4.20 μC, half way on the (b) side. Find the magnitude of the electric field at the top left corner. Let q₁ and q3 +5.10 μc. N/C 927. A-10 µC charge is located at the origin. What is the strength of the electric field at the position (x.y) = (-5.0cm, 5.0cm)?