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In the circuit shown, the switch is closed at t=0. The instantaneous currents through L and C are i₁ and i₂respectively. Then which of the following statements are NOT CORRECT?

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i₁ + i₂is independent of time if R²=LC

i₁ and i₂ are equal only at one instant

i₁ and i₂ are never equal.

i₁ is maximum at t= $\infty$ and i₂ is maximum at t=0.

answer is D.

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Detailed Solution

$i_{1} = i_{0} (1 - e^{- t / T_{1}})$

$i_{2} = i_{0} e^{- t / T_{2}}$

$if T_{1} = T_{2} the i_{1} + i_{2} = 2 i_{0}$

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