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Chapter 16: 9CP (page 626)

Question: In a circuit there is a copper wire 40 cm long with a potential difference from one end to the other end of . What is the magnitude of electric field inside the wire?

Short Answer

Expert verified

Answer

0.025V/m

Step by step solution

01

Identification of the given data

The given data is listed below,

  • The length of the copper wire is, L=40cm×1m100cm=0.4m
  • The potential difference across the wire is,ΔV=0.01V
02

Significance of the electric field

The electric field is a region in which a charged particle is able to exert force on another charged particle.

The ratio of potential difference across an object to the length of the object gives the value of the electric field.

03

Determination of the magnitude of the electric field

The equation of the magnitude of the electric field is expressed as,

E=ΔVL

Here, is the potential difference across the wire and is the length of the wire.

Substitute all the values in above expression.

E=0.01 V0.4m=0.025V/m

Thus, the magnitude of the electric field is .

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Most popular questions from this chapter

LocationsA=<a,0,0>andB=<b,0,0>are on the +x axis, as shown in Figure 16.61. Four possible expressions for the electric field along the x axis are given below. For each expression for the electric field, select the correct expression (1–8) for the potential differenceVA-VB. In each case K is a numerical constant with appropriate units.

(a)E→=<Kx2,0,0>(b)E→=<Kx3,0,0>(c)E→=<Kx,0,0>(b)E→=<Kx,0,0>(1)VA-VB=0(2)VA-VB=K(a-b)(3)VA-VB=K(1a-1b)(4)VA-VB=K(1a3a-1b3b)(5)VA-VB=12K(b2-a2)(6)VA-VB=KIn(ba)(7)VA-VB=K(a3-b3)(8)VA-VB=12K(1a2-1b2)

A capacitor consists of two large metal disks placed at a distance apart. The radius of each disk is R(R>>s), and the thickness of each disk ist, as shown in Figure 16.73. The disk on the left has a net charge of+Q, and the disk on the right has a net charge of-Q. Calculate the potential difference V2-V1, where location 1 is inside the left disk at its center, and location 2 is in the center of the air gap between the disks. Explain briefly

In a region with an uniform electric field, you measure a potential difference of from the origin to a position of (0,0,10) m. Now we add a uniformly charged, thin spherical plastic shell centered at the origin. The spherical shell has a radius of 5 m and a charge of -3530 nC. Draw a diagram to help answer the following questions: (a) What is the potential difference from the origin to a position of (0,0,5) m (at the surface of the spherical shell)? (b) What is the potential difference from the position of (0,0,5) m to a position of (0,0,10) m ?

What is the difference between electric potential energy and electric potential?

A rod uniformly charged with charge -q is bent into a semicircular arc of radius b, as shown in Figure 16.97. What is the potential relative to infinity at location A, at the center of the arc?

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