A uniformly charged rod of length 2L and linear density λ is parallel to the x-axis and centered at the origin. Find the x-component and z-component of the electric field at (x = 2L, y = 0, z = L). Express your answers in terms of 1 4πϵ0 λ L .
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- An infinite line charge of uniform linear charge density lambda = -2.9 mu or micro CC/m lies parallel to the y axis at x = 0 m. A point charge of 0.9 mu or micro CC is located at x = 1.0 m, y = 2.0 m. Find the x component of the electric field at x = 2.0 m, y = 1.5 m. Needs Complete typed solution with 100 % accuracy.A uniformly charged disk with radius R = 45.0 cm and uniform charge density o = 8.10 × 10¬3 C/m2 lies in the xy-plane, with its center at the origin. What is the electric field (in MN/C) due to the charged disk at the following locations? (a) z = 5.00 cm MN/C (b) z = 10.0 cm MN/C (c) z = 50.0 cm MN/C (d) z = 200 cm MN/CA ring of charge is centered at the origin in the vertical direction. The ring has a charge density of 1 = 7.42 x 10* C/m and a radius of R = 1.87 cm. da Find the total electric field, E, of the ring at the point P= (1.56 m, 0.00 m). The Coulomb force constant is k = 1/(4xeg) = 8.99 × 10 N-m²/C². R dE E = N/C Find the expression for the electric field, E-, of the ring as the point P becomes very far from the ring (x » R) in terms of the radius R, the distance x, the total charge on the ring q, and the constant k = 1/(4x€n). E, =
- The figure is a section of a conducting rod of radius R₁ = 1.30 mm and length L = 13.80 m inside a thin-walled coaxial conducting cylindrical shell of radius R₂ = 10.1R₁ and the (same) length L. The net charge on the rod is Q₁ = +3.42 × 10-¹2 C; that on the shell is Q₂ = -2.05Q₁. What are the (a) magnitude E and (b) direction (radially inward or outward) of the electric field at radial distance r = 2.11R₂? What are (c) E and (d) the direction at r = 5.30R₁? What is the charge on the (e) interior and (f) exterior surface of the shell?Six negative charges and two positive charges, all of equal magnitude Q, are arranged as shown in the Fig. A. The radius of the circle is r. The magnitude of the electric field generated by a single charge Qis, E = 150 N/C at the origin. (a) What is the magnitude of the net electric field at the origin O. (b) What is the direction of the net electric field? Choose from the arrows shown in Fig. B. -Q D* 0 Fig. B -Q' Fig. A Your Answer: (a) Magnitude: (b) Direction: (Choose from the arrow).Consider a line of charge with a uniform charge density of 35.0 nC/m. It is placed along the line y = − 15.0 cm between the points x = 0 and x = 40.0 cm. Find the electric field vector (both direction and magnitude) due to this line charge distribution at the origin.
- A charge distribution creates the following electric field throughout all space: E(r, 0, q) = (3/r) (r hat) + 2 sin cos sin 0(theta hat) + sin cos p (phi hat). Given this electric field, calculate the charge density at location (r, 0, p) = (ab.c).A charge of Q is distributed as a quarter circle of a radius R. Lambda(theta)= lambda 0 sin theta provides the linear charge density where theta = 0 degrees along the positive x-axis. How would you find the constant of lambda in terms of Q and R, and what would the magnitude of the electric field be equal to at the center point?The entire y axis is covered with a uniform linear charge density 2.2 nC/m. Determine the magnitude of the electric field on the x axis at x= 5.5 m.
- Five charged particles are equally spaced around a semicircle of radius 100 mm, with one particle at each end of the semicircle and the remaining three spaced equally between the two ends. The semicircle lies in the region x<0 of an xy plane, such that the complete circle is centered on the origin. If each particle carries a charge of 6.00 nC , what is the electric field at the origin? Where could you put a single particle carrying a charge of -5.00 nC to make the electric field magnitude zero at the origin?+X, to positive infinity. The line carries positive charge with a uniform linear charge density Ao. A continuous line of charge lies along the x axis, extending from x = (a) What is the magnitude of the electric field at the origin? (Use the following as necessary: 1o, xo, and ke.) 0. %3D (b) What is the direction of the electric field at the origin? O +X +y O -zI need help answering the attached question.