5. Determine the convergence of the series: 1 V11 - 4 V11 + 4 .13 - 4 + 1 V13+4'715-4 + V15-4 V15 + 4 6. A rod with length L is lying in the x-axis, with one of its edge is located at the origin. According to the Newton's law of gravity, if the density of the rod is 1 and Newton's constant is then the gravitational field at the point C = (A, B) is given by: L-A...
5. Determine the convergence of the series: 1 V11 - 4 V11 + 4 V13-4 1 1 1 + 1 13+ 4 + 1 15 + 4 +.. 15-4 6. A rod with length L is lying in the x-axis, with one of its edge is located at the origin. According to the Newton's law of gravity, if the density of the rod is 1 and Newton's constant is then the gravitational field at the point C = (A, B)...
A rod of length L is located along the x-axis with its right end at the origin. The rod has a total charge -Q and a uniform linear charge density. Find the electric potential at point P located on the y-axis a distance a from the origin.
A uniformly charged rod of length L=2.2 m lies along the x-axis with its right end at the origin. The rod has a total charge of Q=6.8 μC, A point P is located on the x-axis a distance a = 0.45 m to the right of the origin.Part (a) Consider a thin slice of the rod of thickness dr located a distance x away from the origin. What is the direction of the electric field at point P due to the...
A uniformly charged rod of length L=1.6 m lies along the x-axis with its right end at the origin. The rod has a total charge of Q = 2.6 uC. A point P is located on the x-axis a distance a = 1.2 m to the right of the origin.Part (a) Consider a thin slice of the rod of thickness dr located a distance x away from the origin, what is the direction of the electric field t point P due...
A uniform thin rod of mass M and length L lies on the positive x-axis with one end at the origin.Consider an element of the rod of length dx., and mass dm at point where 0<x<L. a) What is the gravitational field produced by the mass element of any value of X? b)Calculate the total gravitational field produced by the rod. C)Find the gravitational force on a point particle of mass m0 at x0. D) Show that for x0>>L the...
A thin rod of length L with total charge Q lies along the x-axis and is centered at the origin. Please answer the following A. What is the electric field strength E at a point P located at position x? B. Does your expression have the expected behavior for x >> L? C. Evaluate E at x = 1.9 cm if L = 3.5 cm and Q = 17 nC.
A non-uniform rod of length 0.5m is placed along the x-axis at a distance.2m from the origin. The mass per unit length 2 varies according to the expression λ = 5 + 2x2, measured in units of kg/m, where x is measured in meters from the origin. Set up but do not solve an integral that will allow you to find the gravitational force exerted by the rod on a 0.1 kg mass placed at the origin (Hint: An element...
A charged rod of length L 8.30 m lies centered on the x axis as shown. The rod has a linear charge density which varies according to λ-az where a-_65.5 pC/m2 L/2 +L/2 What is the total charge on the rod? 4pts Submit Answer Tries 0/10 What is the x component of the electric field at a point on the z axis a distance of D = 4.40 m from the end of the rod?
A rod of Length L lies along the x axis with its left end at the origin. It has a nonuniform charge density lambda = alpha x, where alpha is a positive constant. Calculate the electric potential at point B, which lies on the perpendicular bisector of the rod a distance b above the x-axis. (Use the following as necessary: alpha, k_, L, b, and d.) v = A wire having a uniform linear charge density lambda is bent into...