Inductive time constant, value of resistance

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SUMMARY

The inductive time constant for an RL circuit is calculated using the formula τ = L/R, where τ is the time constant, L is the inductance, and R is the resistance. Given that the current reaches half of its maximum value in 7.0 seconds, the inductive time constant is 7.0 seconds. With an inductance value of L = 0.8 H, the resistance can be determined using the rearranged formula R = L/τ, resulting in a resistance of 0.8 H / 7.0 s = 0.1143 ohms.

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1. A current in an RL circuit rises to one half of its maximum value in 7.0s. a) what is the inductive time constant for the circuit? b) if L= 0.8 H, what is the value of the resistance?


2. My book says the (time constant) = L/R



3. I've tried plugging into the above equation, but I know there's something missing, and I don't know what it is.
 
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What is your equation for the the current in an R-L circuit?
 

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