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I have a question about this circuit:(critically damped oscillation) For a critically damped oscillation for a series RLC circuit the equation of current has this form I(t)=D1te^(-at)+D2e^(-at) ...
#4: Post edited
- I have a question about this circuit:(critically damped oscillation)
- ![SeeMe](https://electrical.codidact.com/uploads/bcvK5rTywmz7b7MJYmqBgeV9)
- For a critically damped oscillation for a series RLC circuit the equation of current has this form I(t)=D1te^(-at)+D2e^(-at) where D2 =I(0+) and D1-aD2 = dI(0+)/dt=VL/L.
In the 2nd circuit due to L1 :I(0)=I(0+)=0A and by applying KVL in VL1=-VC1=-2V- And by substituting the values we get D1=-2A/s and D2 = 0A and we end up with an equation of I(t)=-2te^(-0.5t) but this cant be correct.What am I doing wrong?
- I have a question about this circuit:(critically damped oscillation)
- ![SeeMe](https://electrical.codidact.com/uploads/bcvK5rTywmz7b7MJYmqBgeV9)
- For a critically damped oscillation for a series RLC circuit the equation of current has this form I(t)=D1te^(-at)+D2e^(-at) where D2 =I(0+) and D1-aD2 = dI(0+)/dt=VL/L.
- Due to L1 :I(0)=I(0+)=0A and by applying KVL in VL1=-VC1=-2V
- And by substituting the values we get D1=-2A/s and D2 = 0A and we end up with an equation of I(t)=-2te^(-0.5t) but this cant be correct.What am I doing wrong?
#3: Post edited
I have a question about the 2nd circuit:(critically damped oscillation)![SeeMe](https://electrical.codidact.com/uploads/Bhzjb341E3trR3DQ3SjUE9bY)- For a critically damped oscillation for a series RLC circuit the equation of current has this form I(t)=D1te^(-at)+D2e^(-at) where D2 =I(0+) and D1-aD2 = dI(0+)/dt=VL/L.
- In the 2nd circuit due to L1 :I(0)=I(0+)=0A and by applying KVL in VL1=-VC1=-2V
- And by substituting the values we get D1=-2A/s and D2 = 0A and we end up with an equation of I(t)=-2te^(-0.5t) but this cant be correct.What am I doing wrong?
- I have a question about this circuit:(critically damped oscillation)
- ![SeeMe](https://electrical.codidact.com/uploads/bcvK5rTywmz7b7MJYmqBgeV9)
- For a critically damped oscillation for a series RLC circuit the equation of current has this form I(t)=D1te^(-at)+D2e^(-at) where D2 =I(0+) and D1-aD2 = dI(0+)/dt=VL/L.
- In the 2nd circuit due to L1 :I(0)=I(0+)=0A and by applying KVL in VL1=-VC1=-2V
- And by substituting the values we get D1=-2A/s and D2 = 0A and we end up with an equation of I(t)=-2te^(-0.5t) but this cant be correct.What am I doing wrong?
#1: Initial revision
Critically damped oscillation issue
I have a question about the 2nd circuit:(critically damped oscillation) ![SeeMe](https://electrical.codidact.com/uploads/Bhzjb341E3trR3DQ3SjUE9bY) For a critically damped oscillation for a series RLC circuit the equation of current has this form I(t)=D1te^(-at)+D2e^(-at) where D2 =I(0+) and D1-aD2 = dI(0+)/dt=VL/L. In the 2nd circuit due to L1 :I(0)=I(0+)=0A and by applying KVL in VL1=-VC1=-2V And by substituting the values we get D1=-2A/s and D2 = 0A and we end up with an equation of I(t)=-2te^(-0.5t) but this cant be correct.What am I doing wrong?