Problem 15: A point charge, Q, of –75nC is affixed to the y-axis at yo electron is placed at some point P = (xp,Yp) in the x-y-plane, free to move subject to the electric field generated by Q. Assuming xp = -18.0cm and yp = -20.0cm, what is the electron's acceleration vector d = (a2, ay ), at point P? 4.0cm. An (A) (-0.79, –1.05) × 1015 m/s² (B) (+0.79, +1.05) × 1015 m/s² (C) (-1.05, –0.79) × 1015 m/s² (D) (+4.94, +6.59) × 1033 m/s² (E) {-7.20, –9.60) × 10-16 °m/s²
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- Please AsapDetermine the x and y components of the electric field created by a the thin charged rod below (Qrot = 1 µC, L = 4 cm) at the point Plocated at distance a = 2 cm from the origin along the x-axis. Hint: The following integrals are useful: dy y Cv2 + A)3 y2 + A la a ydy -1 (v² + A)3 Vy2 + A| а a P LThe total electric field at a point on the axis of a uniformly charged disk, which has a radius R and a uniform charge density of o, is given by the following expression, where x is the distance of the point from the disk. E = 2tk c 60 [1 - (R² + X²)1/72] Consider a disk of radius R = 2.79 cm having a uniformly distributed charge of +4.98 µC. (a) Using the expression above, compute the electric field at a point on the axis and 3.27 mm from the center. N/C (b) Explain how the answer to part (a) compares with the field computed from the near-field approximation E = 0/2€-
- Figure (a) shows a circular disk that is uniformly charged. The central z axis is perpendicular to the disk face, with the origin at the disk. Figure (b) gives the magnitude of the electric field along that axis in terms of the maximum magnitude Em at the disk surface. The z axis scale is set by Z = 29.0 cm. What is the radius of the disk? 0.5E z (cm) (а) (b) Number i UnitsAsap plzzz(a) Figure (a) shows a nonconducting rod of length L = 5.80 cm and uniform linear charge density λ = +4.87 pC/m. Take V = 0 at infinity. What is Vat point P at distance d= 7.50 cm along the rod's perpendicular bisector? (b) Figure (b) shows an identical rod except that one half is now negatively charged. Both halves have a linear charge density of magnitude 4.87 pC/m. With V=0 at infinity, what is Vat P? L/2 (a) -L/2 L/21/2- (b)
- Figure (a) shows a circular disk that is uniformly charged. The central z axis is perpendicular to the disk face, with the origin at the disk. Figure (b) gives the magnitude of the electric field along that axis in terms of the maximum magnitude Em at the disk surface. The z axis scale is set by z,= 10.0 cm. What is the radius of the disk? (a) E 0.5E 0 z (cm) (b)Two identical charges, q, are situated in the z = 0 plane at the positions (x, y) (0, a) and (-2a,-2a). Determine the electric field due to these charges at position (x, y) = (0, 0). =Point P sets above an infinite line of charge 2 m in the positive z direction. The line of charge itself has a charge density ? of -5.0 x 10⁶ C/m. What is the magnitude of the electric field at point P?
- An electron is placed in a uniform electric field 26 nN/C directed north created by two horizontal parallel plates that are given 137 fm apart. The electron accelerates from rest, starting at the negative plate. What is the net force and acceleration acting on the electron? How long did it take the electron to get from one side of the plate to the other? Given: Required: Equation: Solution: Answer:Two point particles, one with charge +8 × 10−9 C and the other with charge −2 × 10−9 C, areseparated by 4 m. The electric field in N/C midway between them is:Find the x and y components of the electric field produced by q1 and q2 in the figure shown below at point A and point B. (Take q1 = 1.99 µC and q2 = −1.01 µC.) Point A- Ex and Ey Point B- Ex and Ey