Electronics and calculus problems1. The Laplace transfonn is utilized to transionn between the and...

Question

Electronics and calculus problems1. The Laplace transfonn is utilized to transionn between the and domains.) time. amplitude (2) time, frequency(3) amplitude, frequency (4) none of the above2. Determine the Laplace transformation of the time domain function 50e.(l)s XXXXXXXXXX/(4s + 1)2 XXXXXXXXXX4s + I XXXXXXXXXX/(s + 4)3 Find the inverse Laplace transformation XXXXXXXXXXof 50/(5s+(1) 2te XXXXXXXXXX5te4(3) sae'`' (4) 2te'st. What is the Laplace transformation of the voltage derivative dv/dt if the initial voltage is 25 volts?(1) s-25(3) sV XXXXXXXXXXnone of the above

Robert · Accepted Answer

Solution: The Laplace transform is utilized to transform between time and frequency domains.
Solution: Given function is        
Laplace transform of the given function is 
 (      )    
 
   

   

Solution: Given function is    (    )  
Inverse Laplace transform of the given function is 
   (   (    ) )     (  (    ⁄ ) )      
 

Solution: Laplace Transform of voltage derivative is 
 (
  
  
)    ( )   ( )
Solution: Laplace Transform of integral of v(t) is 
 (∫ ( )  )  
 ( )
 
 
 
 

Solution: Given function is     (    )
 (    )
 
 
 

(    )
 
 (    )    
 (    )
 
A = 10, B = -50
 (    )
 
  
 

(    )
 
Inverse Laplace transform of the given function is 
   [    (    )]     [
  
 

(    )
] 
    [
  
 

(    ⁄ )
]         
 
    (    
 
 )
Solution: The equation corresponding to the charged capacitor is
  
 
 
  
   
The Laplace transform of the above equation is 
 (
  
  
 
 
  
)    ( )   ( )  
 ( )
  
   
  ( )     
 ( )
               
   
  ( )  
 ( )
           
    
[  
 
           
]  ( )     
[       ] ( )     
 ( )  
  
[       ]
 
The inverse Laplace Transform is 
   [
  
[       ]
]
Solution: For a high pass filter network,

Electronics and calculus problems 1. The Laplace transfonn is utilized to transionn between the and domains. ) time. amplitude (2) time, frequency (3) amplitude, frequency (4) none of the above 2....

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