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Chapter 24: Q7P (page 710)

The electric field in a region of space has the components Ey = Ez = 0and Ex = (4.00N/C)x. Point Ais on the yaxis at y = 3.00m, and point Bis on the xaxis at x = 4.00m. What is the potential difference VB - VA?

Short Answer

Expert verified

The potential difference is, -32.0V.

Step by step solution

01

Given

The electric field in a region of space has the components Ey = Ez = 0 and Ex = (4.00N/C)x.

02

Understanding the concept

Using the equation of potential difference V = E.d, we can find the potential difference between two points.

03

Calculate the potential difference VB - VA

We connect A to the origin with a line along the y axis, along which there is no change of potential (Equation: 鈭�E.ds=0). Then, we connect the origin to B with a line along the x-axis, along which the change in potential is

鈭�V=-鈭�0x=4E.ds

Substitute all the value in the above equation.

鈭�V=-4.00鈭�04xdx=-4.00x2204VB-VA=-4.00422VB-VA=-32.0V

Hence the potential difference is, -32.0V.

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Most popular questions from this chapter

a). If Earth had a uniform surface charge density of1.0electron/m2(a very artificial assumption), what would its potential be? (SetV=0at infinity.) What would be the

(b) magnitude and

(c) direction (radially inward or outward) of the electric field due to Earth just outside its surface?

Question: In Fig. 24-43, a plastic rod having a uniformly distributed charge Q = -25.6pChas been bent into a circular arc of radius R = 3.71 cmand central angle蠒=120掳. With V = 0at infinity, what is the electric potential at P, the center of curvature of the rod?

A nonconducting sphere has radius R = 2.31 cmand uniformly distributed charge q = +3.50 fC. Take the electric potential at the sphere鈥檚 center to be V = 0 . What is Vat radial distance (a) r = 1.45 cmand (b) r = R. (Hint: See Module 23-6.)

Figure 24-64 shows a ring of outer radius R=13.0cm, inner radius r=0.200R , and uniform surface charge density 蟽=6.20pC/m2 . With V=0at infinity, find the electric potential at point P on the central axis of the ring, at distance z=2.00R from the center of the ring.

Figure 24-30 shows a system of three charged particles. If you move the particle of chargefrom point Ato point D, are the following quantities positive, negative, or zero: (a) the change in the electric potential energy of the three particle system, (b) the work done by the net electric force on the particle you moved (that is, the net force due to the other two particles), and (c) the work done by your force? (d) What are the answers to (a) through (c) if, instead, the particle is moved from Bto C?
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