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Chapter 13: Q37P (page 542)

At a particular location in the room there is an electric field <1000,0,0>鈥�N/C. Where would you place a single negative point particle of charge 1渭Cin order to produce this electric field?

Short Answer

Expert verified

The position of charge to produce electric field r鈫�=3,0,0鈥�m.

Step by step solution

01

Identification of given data

  • The value of electric fieldE鈫�=1000,0,0鈥�N/C.
  • The value of point charge particleq=1鈥�脳10-6C.
02

Electric field

The electric field is the property of every point when charge is present in any form.

The electric field inside a sphere of uniform charge is calculated by

E鈫�=14蟺蔚0路q|r鈫�|2r^

Here, = Electric field, q= Charge, 14蟺蔚0=9脳109鈥�鈥�N路m2/C2and r= radius of the sphere

03

Calculation of the electric field position

The position is calculating by using,

E鈫�=14蟺蔚0路qr鈫�2r^

Substituting the values,

role="math" localid="1668507954643" 1000,0,0鈥�N/C=9脳109鈥�鈥�N路m2/C2脳1鈥�脳10-6Cr鈫�2脳r鈫�r鈫�r鈫�3=9,0,0鈥�mr鈫�=3,0,0鈥�m

Thus, position is r鈫�=3,0,0鈥�m.

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Most popular questions from this chapter

What is the electric field at a location b鈬赌=<-0.1,-0.1,0>m, due to a particle with charge +3nC located at the origin?

A dipole is centered at the origin and is composed of charged particles with charge +2e and -2e, separated by a distance 7脳10-10malong the y axis. The +2e charge is on the -y axis, and the -2echarge is on the +y axis. (a) A proton is located at<0,3脳10-8,0>m. What is the force on the proton due to the dipole? (b) An electron is located at<-3脳10-8,0,0>m. What is the force on the electron due to the dipole? (Hint: Make a diagram. One approach is to calculate magnitudes, and get directions from your diagram.)

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In Figure 13.66 a proton at location A makes an electric field E鈫�1at location B. A different proton, placed at location B, experiences a force F鈫�1. Now the proton at B is removed and replaced by a lithium nucleus, containing three protons and four neutrons. (a) Now what is the value of the electric field at location B due to the proton? (b) What is the force on the lithium nucleus? (c) The lithium nucleus is removed, and an electron is placed at location B. Now what is the value of the electric field at location B due to the proton? (d) What is the magnitude of the force on the electron? (e) Which arrow in Figure 13.65 best indicates the direction of the force on the electron due to the electric field?

You want to create an electric field 鉄�0,鈥�4104,鈥�0鉄�鈥塏/颁at location 鉄�0,鈥�0,鈥�0鉄�.

(a) Where would you place a proton to produce this field at the origin?

(b) Instead of a proton, where would you place an electron to produce this field at the origin?
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