6. Source V1 changes from -12V to +12V at time t=0. That is to say V1 = -12V, -∞
6. Source V1 changes from -12V to +12V at time t=0. That is to say V1 = -12V, -∞
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Please solve the following problem. Any instructions in how to solve using Mathematic is appriciated.
![6. Source V1 changes from -12V to +12V at time t=0. That is to say
V1 = -12V,
-∞0<t<0
V1 = +12V,
0<t<∞
A) Determine the value of R so that the circuit is critically damped.
B) Determine and plot the potential at Node A as a function of time
+
V1
R1
Đ
A
C1
12μF
560mH](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F74ed9a9d-3ed6-445c-be55-2fd4ba5b9788%2F57e3f048-35d1-4046-9d8f-81aaa0f76bd4%2F5s010di_processed.png&w=3840&q=75)
Transcribed Image Text:6. Source V1 changes from -12V to +12V at time t=0. That is to say
V1 = -12V,
-∞0<t<0
V1 = +12V,
0<t<∞
A) Determine the value of R so that the circuit is critically damped.
B) Determine and plot the potential at Node A as a function of time
+
V1
R1
Đ
A
C1
12μF
560mH
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Step 1: Summarize the data.
VIEWStep 2: A. Determine the value of R1 so that the response is critically damped.
VIEWStep 3: B. Determine the initial conditions.
VIEWStep 4: Determine the differential equation for t > 0.
VIEWStep 5: Determine the expression of iL(t).
VIEWStep 6: Determine the voltage at node A and it's plot.
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