Electrical Circuit I

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Bzena1267

Engineering

Description

An assignment consist of 5 questions on Electrical Circuit I.

It shouldn't be hard on an electrical engineering who have basic knowledge on the major.

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Explanation & Answer

attached below is my 100% complete answer

Question 1:
The equivalent resistance of the given circuit is calculated by

Req = 20 k  || 20 k 
 Req =

( 20 k  )( 20 k  )

20 k  + 20 k 
 Req = 10 k 
The equivalence capacitance of the given circuit is calculated by

Ceq = (1  F + 1  F ) || 2  F
 Ceq = 2  F || 2  F
 Ceq =

( 2  F )( 2  F )

2 F + 2 F
 Ceq = 1  F
Hence, it turns out that for t  0 , we have RC circuit connected in series with R = 10 k and
C = 1  F , as shown in the below figure

Using Kirchoff’s voltage law (KVL), we have

vs − Ri ( t ) − vC ( t ) = 0
Solving the above equation gives the voltage across the capacitor as

vc ( t ) = vs (1 − e − t / RC )
t



(10103  )(110−6 F ) 

 vc ( t ) = (10 V ) 1 − e





 vc ( t ) = 10 (1 − e −100t ) V

Hence, for t  0 , the required voltage is ...


Anonymous
I was having a hard time with this subject, and this was a great help.

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