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Chapter 25: Q.37 (page 711)

Two point charges 2.0 cm apart have an electric potential energy -180 mJ. The total charge is 30 nC. What are the two charges?

Short Answer

Expert verified

The charges value of two points are 40nC and -10nC

Step by step solution

01

Step  1: Definition the equation of the potential energy of  a  point 

For the Two charge points

U=1/(4蟺蔚0)q1q2rU=-180渭Jr=2cm蔚0=8.85脳10-12C2/N脳m2U=1/(4蟺蔚0)q1q2r-180渭J=1/(4蟺蔚0)q1q2rq1q2=-180渭J8.85脳10-12C2/N脳m22cm=-4脳10-16C2

As per the basis of the question

localid="1648127293201" q1=30脳10-9C-q2

Now, applying given value of q2in above equation

q2=-1脳10-8C=-10nC

02

Definition the equation of the potential energy of  two points

Applying the value of q2inq1equation

q1=40nC

The charges values of two points are 40 nC and -10 nC

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Most popular questions from this chapter

x=-1.0cmA-2.0nCcharge and a +2.0nCcharge are located on the x-axis at and x=+1.0cm, respectively.

a. Other than at infinity, is there a position or positions on the x-axis where the electric field is zero? If so, where?

b. Other than at infinity, at what position or positions on the x-axis is the electric potential zero?

c. Sketch graphs of the electric field strength and the electric potential along the x-axis.

Three electrons form an equilateral triangle with 1.0 nm on each side. A proton is at the center of the triangle. What is the potential energy of this group of charges?

What is the escape speed of an electron launched from the surface of a 1.0-cm-diameter glass sphere that has been charged to 10 nC?

Electrodes of area Aare spaced distance dapart to form a parallel-plate capacitor. The electrodes are charged to 卤q.

(a). What is the infinitesimal increase in electric potential energy dUif an infinitesimal amount of charge dqis moved from the negative electrode to the positive electrode?

(b). An uncharged capacitor can be charged to 卤Qby transferring charge dqover and over and over. Use your answer to part a to show that the potential energy of a capacitor charged to 卤Qis Ucap=12Q螖VC.

A +3.0 nC charge is at x = 0 cm and a -1.0 nC charge is at x = 4 cm. At what point or points on the x-axis is the electric potential zero?
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