See that I applied L hospitals rule L/y <<<1 means it tends to zero.
Please see that I used y instead of X to show in a standard format.
As the object moves far away it experiences potential like it's been from a point charge as the rod is finitely charged.
If in doubt pls revert back
a finite uniformly charged rod and show that it coincides result? 3. Find x>Lx>>L limit of...
help A,B and C..thx
2. A disk of radius R is uniformly charged with total charge Q. A. Find an expression for an electric field at a point, x, along the axis perpendicular to the disk. B. Verify that the limit x >>R gives the expected result. C. Find an expression for the limit of an infinitely charged plane.
A uniformly charged rod of length L and total charge Q lies along the x axis as shown in the figure below. (Use the following as necessary: Q, L, d, and ke) (a) Find the components of the electric field at the point P on the y axis a distance d from the origin(b) What are the approximate values of the field components when d >>L? Explain why you would expect these results.
Potential of a Finite RodA finite rod of length L has total charge q, distributed uniformly along its length. The rod lies on the x-axis and is centered at the origin. Thus one endpoint is located at (-L/2,0), and the other is located at (L/2,0). Define the electric potential to be zero at an infinite distance away from the rod. Throughout this problem, you may use the constant k in place of the expression .a) What is VA, the electric potential...
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)...
A uniformly charged rod of length Land total charge Q lies along the x axis as shown in Figure P23.6. (a) Find the components of the electric field at the point P on the y axis a dis- tance d from the origin. (b) What are the approximate values of the field components when d >> L? Explain why you would expect these results.
8. A uniformly charged rod of length L and total charge Q lies along the x axis as shown in in the figure below. Find the components of the electric field at the point P on the y axis a distance d from the origin. ANSWER:
You have a uniformly charged rod with charge Q 1.00 mC and length L 1.00 m centered on the origin and along the V-axis and a point charge with q 1.00 pC at a position of (0.25 m, 0 m), what is the force (both magnitude and direction) that the rod exerts on the point charge? e Create a plot tnodeled after those in Figure 1 showing that the discrete result converges to the integral result n=3 n=5 9-44 110...
(a) Calculate the electrostatic force on a uniformly charged rod of length 2l, and charge q which lies along the axis of a uniformly charged ring of radius R and charge q'. The centers of the charged rod and the rings are displaced by z = z0. (b) Show that if z0 >> l, is satisfied, then the expression of calculated force reduces to that between point charges.
You have a uniformly charged rod of length L and total charge Q. You take the rod and bend it into a half circle. What is the electric potential at the center of the “circle” that half circle is a part of?
A uniformly charged rod with total charge Q and length L is placed along the x-axis as shown to the right. (a) Calculate the electric field, E, at point P. Express your answers in terms of Q, L and ε0 or k.