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(a) Show directly that Eqs. 9.197 satisfy Maxwell’s

Chapter 9, Problem 32P

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QUESTION:

Problem 32P

(a) Show directly that Eqs. 9.197 satisfy Maxwell’s equations (Eq. 9.177) and the boundary conditions (Eq. 9.175).

(b) Find the charge density, λ(z, t), and the current, I (z, t), on the inner conductor.

Reference equation 9.197

Reference equation 9.197

Reference equation 9.195

Questions & Answers

QUESTION:

Problem 32P

(a) Show directly that Eqs. 9.197 satisfy Maxwell’s equations (Eq. 9.177) and the boundary conditions (Eq. 9.175).

(b) Find the charge density, λ(z, t), and the current, I (z, t), on the inner conductor.

Reference equation 9.197

Reference equation 9.197

Reference equation 9.195

ANSWER:

a.)

Step 1 of  5

We have to show that the given equations satisfy Maxwell’s equations.

The four Maxwell’s equations and the boundary conditions are

and

     

 The given equations are

Now ,

         

   

       

 

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