7) A series RL circuit with R=1 Komega and L=2 H is connected to a DC battery E=

Question

7) A series RL circuit with R=1 Komega and L=2 H is connected to a DC battery E=12V when the switch is open. What is the approximate time when the current increases to 70% of its max value? 7) A series RL circuit with R=1 Komega and L=2 H is connected to a DC battery E=12V when the switch is open. What is the approximate time when the current increases to 70% of its max value? 7) A series RL circuit with R=1 Komega and L=2 H is connected to a DC battery E=12V when the switch is open. What is the approximate time when the current increases to 70% of its max value? 7) A series RL circuit with R=1 Komega and L=2 H is connected to a DC battery E=12V when the switch is open. What is the approximate time when the current increases to 70% of its max value? 7) A series RL circuit with R=1 Komega and L=2 H is connected to a DC battery E=12V when the switch is open. What is the approximate time when the current increases to 70% of its max value?

Explanation / Answer

I(t) = V/R [ 1 - e^(-Rt / L) ]

I(t) = I0 [ 1 - e^(-Rt / L) ]

0.70I0 = I0 [ 1 - e^(-Rt / L) ]

1 - e^(-Rt / L)   = 0.70

-Rt /L = -1.204

t = 1.204 x 2 / 1000 = 2.41 x 10^-3 A = 2.41 mA

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