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Chapter 25: Q. 35 (page 710)

The two halves of the rod in FIGURE EX25.35 are uniformly charged to {Q. What is the electric potential at the point indicated by the dot?

Short Answer

Expert verified

The electric potential at the dot point is zero

Step by step solution

01

Theory of electric  potential at  the charge point

The left side has indicted as positive side +Q whose length is 12and the right side is negative -Q whose length is 12.

A the potential energy of a charge is

V=1(4πε0)-∂q/d2+x2due to the negative charge at point P.

∂qhas divided in both positive and negative charge based on the direction from the central point of the rod.

V=1(4πε0)∂q/d2+x2due to the positive charge at point P.

02

Step 2:  Theory of net charge equation 

Total summation of both charge is

V=V++V-=1(4πε0)-∂q/d2+x2+V=1(4πε0)∂q/d2+x2=0

The electric potential at the P point is zero volt

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Most popular questions from this chapter

Your lab assignment for the week is to measure the amount of charge on the 6.0-cm-diameter metal sphere of a Van de Graaff generator. To do so, you’re going to use a spring with a spring constant of 0.65 N/m to launch a small, 1.5 g bead horizontally toward the sphere. You can reliably charge the bead to 2.5 nC, and your plan is to use a video camera to measure the bead’s closest approach to the edge of the sphere as you change the compression of the spring. Your data is as follows:

Use an appropriate graph of the data to determine the sphere’s charge in nC. You can assume that the bead’s motion is entirely horizontal, that the spring is so far away that the bead has no interaction with the sphere as it’s launched, and that the approaching bead does not alter the charge distribution on the sphere.

Two positive point charges q are located on the y-axis aty=±12s.

a.Find an expression for the potential along the x-axis.

b.Draw a graph of V versus x for -∞<x<∞. For comparison, use a dotted line to show the potential of a point charge 2qlocated at the origin.

A disk with a hole has inner radius Rin and outer radius Rout.The disk is uniformly charged with total charge Q. Find an expression for the on-axis electric potential at distance z from the center of the disk. Verify that your expression has the correct behavior when RinS0.

FIGUREQ25.9shows two points inside a capacitor. LetV=0V at the negative plate.
aWhat is the ratioV2V1 of the electric potentials? Explain.
bWhat is the ratioE2E1of the electric field strengths?

An electron moves along the trajectory of FIGUREQ25.3from itof.
a Does the electric potential energy increase, decrease, or stay the same? Explain.
bIs the electron's speed at fgreater than, less than, or equal to its speed at i? Explain.
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