1. The problem statement, all variables and given/known data 2. Relevant equations Z_L = jωL Z_C = 1/(jωC) = -j/(ωC) 3. The attempt at a solution This is my attempt for the series combination: Z = jωL + 1/(jωC) Z = j0.02ω - j20000/ω Is there a way to simplify this further? What would a graph look like, if the function has imaginary parts? And also, to find the frequency for an equivalent open circuit, I would have to set the impedance to zero right? What would it be for a short circuit? ^EDIT: Actually I just realized that I would set Z equal to zero for a short circuit, not an open circuit. For an open circuit, the impedance should be infinite, but how would I find the angular frequency? ∞ = j0.02ω - j20000/ω does not seem like a solvable equation.