hey guys. i haf a simple first order circuit here and i have solved for t less greater than or equal to zero and less than or equal to 1 (subject to the voltage source). (1-exp(-2t)) V.
i have solved using classical differential technique and laplace transform. the answers both agree with each other.
however, for t greater than 1, they disagree.
when using differential technique, i get [(exp(2) - 1)]exp(-2t) V, while using laplace transform the answer is [1 - exp(2)]exp(-2t) V.
i might have made an error in the setting up of the laplace transform (done both using voltage source and current source and still get same answer) but i have checked n double checked to no avail.
any input would be greatly appreciated.
p.s if you cannot open the schematic, the circuit is a 1ohm resistor in series with a 0.5 farad capacitor, excited by a voltage source = u(t) - u(t-1) where u(t) is the unit step function
i have solved using classical differential technique and laplace transform. the answers both agree with each other.
however, for t greater than 1, they disagree.
when using differential technique, i get [(exp(2) - 1)]exp(-2t) V, while using laplace transform the answer is [1 - exp(2)]exp(-2t) V.
i might have made an error in the setting up of the laplace transform (done both using voltage source and current source and still get same answer) but i have checked n double checked to no avail.
any input would be greatly appreciated.
p.s if you cannot open the schematic, the circuit is a 1ohm resistor in series with a 0.5 farad capacitor, excited by a voltage source = u(t) - u(t-1) where u(t) is the unit step function
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