Solving Homework Equations: The Attached Voltage Across Capacitor

[samjohnny]

Homework Statement

Attached

Homework Equations

The one given in the hint (as attached) for voltage across capacitor wrt time.
P=V^2/R

The Attempt at a Solution

I just wanted to know whether I've gone about this question in the right way. For the first part I simply rearranged the voltage equation for the resistance R and substituted the known values.

For the second part, I simply used the power equation above and substituted in the previously calculated resistance and 500v for the voltage. I'm not sure if that's right though, and I'm not sure how to account for the capacitor, or if it's required even. Any help?

Thanks!

 

[mfb]

That is correct. The capacitor does not matter in the second part.

 

[samjohnny]

Thanks for the reply!