Calculate the electric and magnetic fields of an oscillating magnetic dipole without using...

Question

Calculate the electric and magnetic fields of an oscillating magnetic dipole without using approximation 3. [Do they look familiar? Compare Prob. 9.33.] Find the Poynting vector, and show that the intensity of the radiation is exactly the same as we got using approximation 3.

Robert · Accepted Answer

Consider the expression for a oscillating magnetic dipole, 
  o o
m sin 1 r r ˆA r, , t cos t sin t
4 r r c c c
        
                 
    …… (1) 
Consider the expression for the electric field strength, 
A
E
t



         …… (2) 
Substitute the value of A in equation (2) from equation (1), 
o om sin 1 r r ˆE cos t sin t
t 4 r r c c c
          
                     
 
Simplify the above given expression, 
o o
o
m sin 1 r rc ˆE sin t cos t
4 r r c c
          
            
        
   …….. (3) 
Consider the expression for the magnetic field strength, 
B A           …….

Calculate the electric and magnetic fields of an oscillating magnetic dipole without using approximation 3. [Do they look familiar? Compare Prob. 9.33.] Find the Poynting vector, and show that the...

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