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Chapter 26: Q. 2 (page 736)

Figure Q26.2 shows the electric potential as a function of x. Draw a graph of Exversusxin this same region of space.

Short Answer

Expert verified

The required graph is

Step by step solution

01

Given information and formula used  

Given :

Theory used :

Electric field is the negative slope (鈥渄erivative鈥� or 鈥済radient鈥�) of the potential.

E鈫�=鈭�螖V螖x

Potential energy is related to electric potential by the charge. It only makes sense if you know the sign & magnitude of the test charge you want to use.

02

Drawing a graph of  Ex versus x

Since E鈫�=鈭�螖V螖x,so the required graph is :

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Most popular questions from this chapter

Figure EX26.12 is a graph of Vversusx. Draw the corresponding graph of Exversusx.

Figure Q26.10 shows a 3Vbattery with metal wires attached to each end. What are the potential differences 鈭�V12=V2-V1,鈭�V23=V3-V2,鈭�V34=V4-V3,and鈭�V41=V1-V4?

To what potential should you charge a 1.0mFcapacitor to store 1.0Jof energy ?

a. Find an expression for the capacitance of a spherical capacitor, consisting of concentric spherical shells of radii R1(inner shell) and R2(outer shell).

b. A spherical capacitor with a 1.0mmgap between the shells has a capacitance of 100pF. What are the diameters of the two spheres?

Capacitors C1=10渭Fand C2=20渭Fare each charged to 10V, then disconnected from the battery without changing the charge on the capacitor plates. The two capacitors are then connected in parallel, with the positive plate of C1connected to the negative plate of C2and vice versa. Afterward, what are the charge on and the potential difference across each capacitor?
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