Calculate total charge and energy stored in network
Answers
The problem goes like this:
A capacitance of C farads has a current i = (Vm/R)e-(t/RC) (A). Show that the maximum stored energy is (1/2)CVm2.
I have taken the basic equation i = Cdv/dt and integrated to get v. Then I multiply the two to get power. Unfortunately this looks as if it is not going anywhere so I have not attempted to take the time integral of this to get energy.
The only assumption I can make is that the maximum energy will be stored at t = infinity, i.e. when it is fully charged.
The equation suggests a resistor in series but no hint of this is given in the question so I have not assumed there is one. I have worked solely from the facts given along with my assumption above.
Have I tackled this the wrong way? I don't mind working through the math if someone can point me in the right direction.
Thanks for any help with this one.
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