Why does higher resistance shorten the transient response in RL circuits?

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Lavabug
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Can anyone please explain to me why in a RL circuit, using higher values for resistance will shorten the transient response in the inductor? I've read and found a site claiming that it "reduces the amount of energy the inductor can store", can anyone expand on this a little?
 
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The discharge rate is fiven by [E/R]*e-tR/L where E is the e.m.f applied.That should make things clear.
Also in steady state the inductor behaves as a zero-resisitance piece of wire hence it is E/R.At higher values of resistance the current in steady state will reduce and the final energy stored in B field of inductor [which is proportional to i2] will naturally be lesser.