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Q. 64

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Physics for Scientists and Engineers: A Strategic Approach with Modern Physics
Found in: Page 657

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Short Answer

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

(a) Find the Electric field strength at point on the rod's axis at distance from the center of an infinite charge rod, with the linear charge density is in

(b) The solution is

See the step by step solution

Step by Step Solution

Step 1 : Given information and formula used

Given :

Theory used :

The Electric field of an infinite line charge with a uniform linear charge density can be obtained by a using Gauss' law. Considering a Gaussian surface in the form of a cylinder at radius , the electric field has the same magnitude at every point of the cylinder and is directed outward.

Step 2 : Writing a realistic problem and finding the solution of the problem 

(a) Realistic problem :

On an infinite charge rod, let the linear charge density is .

In , find the electric field strength at point on the rod's axis at distance from the center.

(b) Solution :

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