1. A RLC circuit has the lumped parameters, R= 1 Ohm, L=0.5 Henry, C=0.5 Farad. An external voltage is applied, given by V=3 cos(Ωt) Volt. The external frequency Ω is varied to achieve (soft) resonance.
a. Is the system underdamped or overdamped?
b. Show that the (soft) resonance is possible in this system?
c. Find the value of Ω that leads to the resonance.