/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Q. 65 In Problems 63 through 66 you ar... [FREE SOLUTION] | 91影视

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Chapter 23: Q. 65 (page 657)

In Problems 63 through 66 you are given the equation(s) used to solve a problem. For each of these

a. Write a realistic problem for which this is the correct equation(s).

b. Finish the solution of the problem

畏2蔚0[1-zz2+R2]=12畏2蔚0

Short Answer

Expert verified

(a) A disc with a radius of Rand a charge of Qthat is uniformly distributed. Discover an equation for the strength of the electric field at a point Pon the axis at a distance zfrom the center.

(b) The solution isz=R3

Step by step solution

01

Given information and formula used

Given :

畏2蔚0[1-zz2+R2]=12畏2蔚0

Theory used :

The electric field due to a uniformly charged disc at a point very distant from the surface of the disc is given by:

E=蟽2蔚0

(蟽 is the surface charge density on the disc)

02

Writing a realistic problem and finding the solution of the problem 

(a) Realistic problem :

Given a disc with a radius of Rand a charge of Qthat is uniformly distributed. Discover an equation for the strength of the electric field at a point Pon the axis at a distance zfrom the center. If

畏2蔚0[1-zz2+R2]=12畏2蔚0

(b) Solution :

From the previous expression, finding the value of z :

畏2蔚0[1-zz2+R2]=12畏2蔚0鈬�1-zz2+R2=12鈬�z2z2+R2=14鈬�z2+R2=4z2鈬�z=R3

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