The voltage across a 0.18 micro Farad capacitor is:
v=40v for t <= 0
v= Ate^(-5000t)+Be^(-5000t) for t>=0
The current in the capacitor at t=0+ is 152 milliamperes. Assume passive sign convention.
1. Find initial energy stored in capacitor.
For this i used w=.5cv^2=.5(.00000018)(40^2)= 144microJules
2. Find the coefficient A in v/s.
I don't know how to get this one
3. Find the coefficient B.
I used the equation for t>=0 and put 40 in for v and 0 in for t and solved and got B=40v
4. Find the current in the capacitor when t=2.76 milliseconds.
I believe i need to figure out number 2 before I can do this one.
Can I get some reassurance on 1 and 3 and some help on 2 and 4
v=40v for t <= 0
v= Ate^(-5000t)+Be^(-5000t) for t>=0
The current in the capacitor at t=0+ is 152 milliamperes. Assume passive sign convention.
1. Find initial energy stored in capacitor.
For this i used w=.5cv^2=.5(.00000018)(40^2)= 144microJules
2. Find the coefficient A in v/s.
I don't know how to get this one
3. Find the coefficient B.
I used the equation for t>=0 and put 40 in for v and 0 in for t and solved and got B=40v
4. Find the current in the capacitor when t=2.76 milliseconds.
I believe i need to figure out number 2 before I can do this one.
Can I get some reassurance on 1 and 3 and some help on 2 and 4