Solution) This can be approximated to dipole containing equal and opposite charges separated by distance .
4. Consider two thin charged rods of length L carrying uniformity distributed charges of +q and...
4. Consider two thin charged rods of length L carrying uniformity distributed charges of +q and -q positioned end-to-end as shown in the figure below. (a) Calculate the electric field at point P, a distance x to right of where the rods meet. (b) Show that the approximate expression for the electric field at point P for x >> L looks like that of a dipole (Hint: Review Example 21.14 in your text). (c) What is the dipole moment of...
4. Consider two thin charged rods of length L carrying uniformity distributed charges of +q and q positioned end-to-end as shown in the figure below. (a) Calculate the electric field at point P, a distance x to right of where the rods meet. (b) Show that the approximate expression for the electric field at point Pforx >> L looks like that of a dipole (Hint: Review Example 21.14 in your text). (c) What is the dipole moment of the charge...
Problem 1 (30 points) Two uniformly charged rods with charge Q and length L lie along the z-axis as shown in the figure (rods have been fixed in their positions, so they cannot move). (a)(15pts.) Find the electric field created by the left rod at point I where = > L. (b)(15pts.) Find the electric force on the right rod that is applied by the left rod.
Three charged spheres are suspended by nonconducting light rods of length L = 0.656 m from the point O. The rods are fixed in position so that the middle rod is vertical and the rods on the left and right make an angle of theta = 30 degree with the vertical (see figure below). (Assume that the +x axis is to the right and the +y axis is up along the page. Express your answer in vector form.) (a) What...
Two uniformly charges rods (each with a total charge Q 7.5 HC and length L. - 12.0 em) are arranged as shown below. Find the electric field at P if a -5.5 cm. s. .75
Consider two thin nonconducting rods of length L that are parallel to each other, and a distance L apart. One rod has a charge + and the other has a charge +2Q, each uniformly distributed along their lengths. Find the electric field midway between the two rods, as shown L/2 E=? t0 +20
6. Consider a thin rod of length L laying on the x-axis as shown in the figure below. The charge density is nonuniform and varies as λ-λ, x/L, where λ° is a constant. (a) Find the magnitude of the force on a point charge q at x = a in terms of q, , a, and L. (b) Show that for a >> L the answer in (a) reduces to c) What is the total charge on the rod? (d)...
What is the magnitude of the dipole moment for the two charges, q, spaced a distance s apart? Express your answer with the appropriate units. Review An electric dipole is formed from two charges, ±q, spaced a distance s apart. The distance s is small compared to 10 cm. The dipole is at the origin, and the dipole moment p points in the y- direction. The electric field strength at the point P : (x, y ,(0 cm, 10 cm)...
6. Consider a thin rod of length L laying on the x-axis as shown in the figure below. The charge density is non uniform and varies as λ = λ。x/L, where λ, is a constant. (a) Find the magnitude of the force on a point charge q at x-a in terms of q, λ, a, and L. (b) Show that for a » L the answer in (a) reduces to (c) What is the total charge on the rod? (d)...
Find the electric field due the square made of 4 rods of length L= 10cm and charge of Q=2nC each, point P at distance D=7 cm above the center of the square.