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Chapter 22: Q. 45 (page 626)

What is the forceF鈫�on the1.0nCcharge at the bottom in FIGURE P22.45?Give your answer in component form.

Short Answer

Expert verified

Force on1.0nCisF鈫�on1=1.1脳10-5j^N.

Step by step solution

01

Figure for force on the1.0 nccharge

Figure is,

02

Calculation of force on q2andq3

Putting a charge of1.0nCat the origin and labelling itq1.

For chargeq2:

F鈫�2on1=kq1q2r2i^

=9脳1091脳10-92脳10-95脳10-22-cos45掳i^-sin45掳j^

=0.72脳105N-cos45掳i^-sin45掳j^

For chargelocalid="1649089752680" q3:

F鈫�3on1=9脳1091脳10-96脳10-95脳10-22j^N

=2.16脳10-5j^N

03

Force for chargeq4andq1

For charge q4:

F鈫�4on1=0.72脳10-5Ncos45掳i^-sin45掳j^

For charge q1:

F鈫�on1=F鈫�2on1+F鈫�3on1+F鈫�4on1

F鈫�on1=1.1脳10-5j^N

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Most popular questions from this chapter

Charged plastic and glass rods hang by threads.

a. An object repels the plastic rod. Can you predict what it will do to the glass rod? If so, what? If not, why not?

b. A different object attracts the plastic rod. Can you predict what it will do to the glass rod? If so, what? If not, why not?

Figure showed how an electroscope becomes negatively charged. The leaves will also repel each other if you touch the electroscope with a positively charged glass rod. Use a series of charge diagrams to explain what happens and why the leaves repel each other.

44. What is the force F鈫� on the -1.0nC charge in the middle of FIGURE P22.44due to the four other charges? Give your answer in component form.

Two neutral metal spheres on wood stands are touching. A negatively charged rod is held directly above the top of the left sphere, not quite touching it. While the rod is there, the right sphere is moved so that the spheres no longer touch. Then the rod is withdrawn. Afterward, what is the charge state of each sphere? Use charge diagrams to explain your answer.

Two protons are 2.0 fm apart.

a. What is the magnitude of the electric force on one proton due to the other proton?

b. What is the magnitude of the gravitational force on one proton due to the other proton?

c. What is the ratio of the electric force to the gravitational force.
See all solutions

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