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In a series L-R-C circuit connected to an alternating current generator whose maximum voltage is 205...

In a series L-R-C circuit connected to an alternating current generator whose maximum voltage is 205 V, the resistance is 51.0 Ω and the capacitance is 6.22 μF . The inductance L can be varied from 2.0 mH to 40.0 mH by adjusting an iron core in the solenoid of the inductor. The angular frequency ω of the generator is 3550 rad/s. If the capacitor voltage is not to exceed 145 V, find the maximum and minimum inductance, Lmax and Lmin, that define the range of inductance that is safe to use.

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