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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: ∫E.ds=0). Then, we connect the origin to B with a line along the x-axis, along which the change in potential is

∆V=-∫0x=4E.ds

Substitute all the value in the above equation.

∆V=-4.00∫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 charge of1.50×10-8Clies on an isolated metal sphere of radius 16.0 cm. With V=0at infinity, what is the electric potential at points on the sphere’s surface?

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