Could anyone give me some advice on a RC high pass filter calculation.
Is it possible to calculate the voltage gain with just the following information available, angular frequency = 1/10us.
Yes. The gain is greater than zero. If you want a more detailed anwer or help with your understanding, please provide what the application is and how the HPF and the details of the componenet values fit into the problem.
If you say RC high pass, then I assume that you have a single pole (one C and one R). Further, I assume that the frequency is 1/(10 us) even if you say 1/10 us (which would be 0.1 microseconds).
So, with these assumptions, your corner angular frequency is 100 000 rad/sec. That is equivalent to 100/(2*PI) or 15.9 kHz. The gain at 0 Hz is 0, at f0 the gain is 1/sqrt(2) and increases up to 1 when frequency is increased.
Google RC filter for detailed information.
I hope that this isn't a school question. But, if it is, I held back the central information, the formula for calculating the gain.