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Induced EMF in Series Inductors

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Two inductors with inductances L₁ and L₂ are connected in series. The current through them is given as a function of time t by I(t) = αt² + βt, where α and β are constants. What is the ratio of the induced emf in inductor L₁ to the induced emf in inductor L₂?

A

(L₁/L₂)·(2αt + β)/(αt² + βt)

B

(L₁/L₂)·(αt² + βt)/(2αt + β)

C

L₁/L₂

D

L₁/L₂·(2α/β)

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