9 y d m THIE & d k L Consider a uniform electric field of magnitude Eo pointing in the direction, created by two very large and oppositely charged plates. The plates are contained in the (x,z) plane, are of length L=25 cm in the î direction, and are separated by a distance 2d=30 mm (the dimension in the k direction is irrelevant in this problem). A proton, q, is initially outside the gap between the two plates moving along the +x axis with a speed vo. The particle enters the region of uniform electric field at the midpoint between the two plates. Calculate the minimum speed vo needed for the particle not to hit the lower plate. Hint: Express your answer in terms of q, m, L, d, and Eo. Let Eo lql = 1.602 x 10-¹⁹ C. 796 = V 772 -27 ; m₂ = 1.67 x 10-2 Kg;

Problem 5: A thin rod of length L = 1.9 m lies along the positive y-axis with one end at the origin. The rod carries a uniformly distributed charge of Q1 = 5.2 µC. A point charge Q2 = 10.4 uC is located on the positive x-axis a distance a = 0.45 m from the origin. Refer to the figure. dy y X a Part (a) Consider a thin slice of the rod of thickness dy located a distance y away from the origin. What is the direction of the force on the point charge due to the charge on this thin slice? MultipleChoice : 1) Along the positive x-axis 2) Above the negative x-axis 3) Below the positive x-axis 4) Not enough information to determine 5) There is no force between the point charge and the slice of the rod 6) Above the positive x-axis 7) Below the negative x-axis Part (b) Choose the correct equation for x-component of the force, dFx, on the point charge due to the thin slice of the rod. SchematicChoice : kQ1Q2ady Q1Q2ady kQ,Q2ady dF dF, = L(a² + y²) dFx 3 3 L(a² + y²)ž L(a² + y²)ž kQ1Q2ydy kQ,Qzydy…

A cylindrical distribution of charge ρ = α /√ r where α = 2 µC/m 5/2 extends from 0 cm to 9.3 cm . Concentric with this is a dielectric shell with 5.44 of inner radius 16.6 cm and outer radius 24.9 cm . What is the electric field at 3.53 cm ?

Charged particles q1=−q1=− 4.00 nCnC and q2=+q2=+ 4.00 nCnC are separated by distance 3.90 mmmm , forming an electric dipole. Find the magnitude of the electric dipole moment. Express your answer in coulomb meters to three significant figures.