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PhysicsQ&A LibraryA series circuit containing inductance L1 = 1.7 H and capacitance C1 = 2.9 μF oscillates at angular frequency ω. A second series circuit, containing inductance L2 = 5.9 H and capacitance C2 oscillates at the same angular frequency. What is the angular frequency of oscillation of a series circuit containing all four of these elements? Neglect resistance. (Hint: Use the formulas for equivalent capacitance and equivalent inductance.)Question

A series circuit containing inductance *L*_{1} = 1.7 H and capacitance *C*_{1} = 2.9 μF oscillates at angular frequency *ω*. A second series circuit, containing inductance *L*_{2} = 5.9 H and capacitance *C*_{2} oscillates at the same angular frequency. What is the angular frequency of oscillation of a series circuit containing all four of these elements? Neglect resistance. (*Hint:* Use the formulas for equivalent capacitance and equivalent inductance.)

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