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The final current is E/R = 0.262 = 3/R.
R = 3/0.262 ( = 11.45 ohms ).

The time constant is RL = 0.532.

L = 0.532 / R = (0.532) / (3/0.262) = (0.532) (0.262) / 3

= 46.46 millihenrys (rounded)

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Q: A 3 V battery is connected in series with a resistor and an inductor The series circuit has a time constant of 532ms and the maximum current is 262 mA What is the value of the inductance?
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