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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
−
(10103 )(110−6 F )
vc ( t ) = (10 V ) 1 − e
vc ( t ) = 10 (1 − e −100t ) V
Hence, for t 0 , the required voltage is ...
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