Question: An oscillating circuit consists of two coils connected in series whose inductances are L1 and L2, active resistances are R1 and R2, and mutual inductance

An oscillating circuit consists of two coils connected in series whose inductances are L1 and L2, active resistances are R1 and R2, and mutual inductance is negligible. These coils are to be replaced by one, keeping the frequency and the quality factor of the circuit constant. Find the inductance and the active resistance of such a coil.

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