Given a series LCR circuit with a driving voltage V=V0cos(ωt), would it be possible to obtain a solution for I(t) by the two methods listed below? 1. Summing the voltages, i.e LdI/dt+IR+Q/C=V0cos(ωt) and solving the DE. 2. Using I=V/Z where Z is the total complex impedance and solving for I in terms of known values. I ask this because this is something I have been trying to do. However I keep obtaining different solutions for the phase (although quite similar) which are tanø=Rω/(-Lω2+1/C) using method 1. and tanø=(ωL-1/ωC/R) by method 2. with the current lagging the voltage in each case by ø. I will be able to post further working if it is possible but I thought writing it all down now may be a waste of time if the method is flawed. Thanks.