Question: The electric field along the axis of a uniformly charged disk of radius R and total charge Q was calculated in Example 23.9. Show that

The electric field along the axis of a uniformly charged disk of radius R and total charge Q was calculated in Example 23.9. Show that the electric field at distances x that are large compared with R approaches that of a point charge Q = aπR2. (Suggestion: First show that x/(x2 + R2)1/2 = (1 + R2/x2)-1/2 and use the binomial expansion (1 + ∂) n ≈ 1 + n∂ when ∂ << 1.)

Step by Step Solution

★★★★★

3.26 Rating (149 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

The electric field at a distance x is This is equiv... View full answer

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Document Format (1 attachment)

P-M-E-F (32).docx

120 KBs Word File

Students Have Also Explored These Related Electricity and Magnetism Questions!

A positively charged disk of radius R and total charge Qdisk lies in the xz plane, centered on the y-axis (see figure below). Also centered on the y-axis is a charged ring with the same radius as the...

A uniformly charged disk of radius 35.0 cm carries charge with a density of 7.90 & 10"3 C/m2. Calculate the electric field on the axis of the disk at (a) 5.00 cm, (b) 10.0 cm, (c) 50.0 cm, and (d)...

A uniformly charged disk has radius R and surface charge density as in the figure. The electric potential V at a point P at a distance d along the perpendicular central axis of the disk is where k e...

Example 23.3 analysis derivation assumes a uniform charge density for the entire disk surface area bounded by 0 and R. Suppose that we are interested with the E field contribution at P due to the...

Please Help! Clear Handwriting 49. 49. || Metal sphere 1 has a positive charge of 6.0 nC. Metal sphere 2. which is twice the diameter of sphere ]. is initially uncharged. The spheres are then...

Please help! Clear Handwriting . 49. || Metal sphere I has a positive charge of 6.0 nC. Metal sphere 2. which is twice the diameter of sphere l. is initially uncharged. The spheres are then connected...

Along the axis of a uniformly charged disk, at a point 0.6 m from the center of the disk, the potential is 80 V and the magnitude of the electric field is 80 V/m; at a distance of 1.5 m, the...

#2 handwritten then box the final answers A uniformly charged disk has radius 3.70 cm and carries a total charge of 8.00 . 107- C. (a) Find the electric field (magnitude and direction) on the x-axis...

Suppose you design an apparatus in which a uniformly charged disk of radius Ris to produce an electric field. The field magnitude is most important along the central perpendicular axis of the disk,...

in microsoft excel (please provide pdf when done) Computer problem #1 Using a spreadsheet make a graph of the electric field along the axis of a disk of radius r = 30 cm with a total charge of 1 nC....

Lets say we have a function F (x) Now if we do a definite integral like this F (x) dx, what kind of output we can expect ? (Assuming we can evaluate the integral) O Another function A number O Matrix...

7. Baladna wants to analyze process that includes delivery by suppliers, production inside the company, transportation to to its customers and information systems. Then it also wants to find out...

A project with an estimated cost of capital of 8 . 5 % , has the following Initial Cost and Expected Cash Flows: \ table [ [ , Initial ] , [ 1 , 2 ] , [ 3 , 4 ] , [ 5 , Project ] , [ - 2 3 0 0 0 , 7...

Dina is debating whether to attend college. Chris promises her $40,000 if she will attend college and graduate. Dina tells Chris that she agrees to this. She enrolls in a local college, attends...

Using the following table, calculate each bank's CAMELS composite rating, and answer the questions that follow. (Hint: Round the ratings to two decimal places.) Bank Michel Financial Bank Wilson...

Problem 2 Consider the BJT amplifier circuit in Figure 2 a) What is the type of common emiiter amplifier circuit in this figure (fully bypass, unbypass or partial bypass) (3 points) b) Draw and AC...

Consider the following expression: f(x1,x2,x3)=(x1vx2vx3)^(-x1vx2vx3)A(-x1vx2vx3). Is the expression f satisfiable? List ALL possible T/F assignments that make f true.

a. What is a merger? How does a merger differ from other acquisition forms? b. What is a takeover?

A 99% confidence interval for the proportion of released prisoners who re-offend is (.553, .621). Which of the following is the correct confidence statement? Group of answer choices A. I am between...

A company with an opportunity cost of capital of 1 4 % is considering a major 4 - year project and has projected that its net working capital requirements are as follows: Now = $ 1 0 , 0 0 0 Year 1 =...

Discuss how you will use Array program might modify it to include a method.