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Chapter 16: Q9CP (page 648)

In a circuit there is a copper wire 40 cm long with a potential difference from one end to the other end of 0.01V. What is the magnitude of electric field inside the wire?

Short Answer

Expert verified

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脳1m100cm=0.4m
  • The potential difference across the wire is, 鈭�V=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=鈭�VL

Here,鈭�Vis the potential difference across the wire and L is the length of the wire.

Substitute all the values in above expression.

E=0.01V0.4m=0.025V/m

Thus, the magnitude of the electric field is 0.025V/m.

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Most popular questions from this chapter

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?

An electron starts from rest in a vacuum, in a region of strong field. The electron moves through a potential difference of 44V. (a) What is the kinetic energy of the electron in electron volts (eV)? (b) Which of the following statements would be true if the particle were a proton? Choose both if they are both correct. (1) The kinetic energy of the proton would be negative. (2) The proton would move in the opposite direction from the electron.

For each of the following statements, say whether it is true or false and explain why it is true or false. Be complete in your explanation, but be brief. Pay particular attention to the distinction between potential V and potential difference 鈭哣. (a) The electric potential inside a metal in equilibrium is always zero. (b) If there is a constant large positive potential throughout a region, the electric field in that region is large. (c) If you get close enough to a negative point charge, the potential is negative, no matter what other charges are around. (d) Near a point charge, the potential difference between two points a distance L apart is 鈭扙尝. (e) In a region where the electric field is varying, the potential difference between two points a distance L apart is -(Ef-Ei)L.

What is the kinetic energy of a proton that is traveling at a speed of 3725鈥�m/s ?

You move from location i at 鉄�2,7,5鉄�鈥�mto locationf at 鉄�5,6,12鉄�鈥�m. All along this path there is a nearly uniform electric field of 鉄�1000,200,鈭�510鉄�鈥�N/C. Calculate Vf鈭�Vi, including sign and units.
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