*cries* i need help people, my deadline is so close and i just dont feel confident with any of this. I'm trying to calculate the theoretical oscillating frequency of an LCR circuit. I have an inductor capacitor and resistor connected in series in a loop, and i am monitoring the charge on the capacitor.
in this notation q-doubledot = second derivative of q...etc
i obtained the equation: q-doubledot + (R/L)q-dot + 1/LC = 0
can someone confirm to me that the oscillation angular frequency is then given by: root(1/LC - (R/2L)^2)