2) 21.51: How many time constants does it take for the potential difference acro

Question

2) 21.51: How many time constants does it take for the potential difference across the resistor in an LR circuit like that in the figure to drop to 2.5% of its original value, after the switch is moved to the upper position, removing V0 from the circuit?

I need all work shown please!

2) 21.51: How many time constants does it take for the potential difference across the resistor in an LR circuit like that in the figure to drop to 2.5% of its original value, after the switch is moved to the upper position, removing V0 from the circuit?

Explanation / Answer

Given

V=0.025Vo

In a RL Circuit Voltage as a function of time is given by

V=Voe-t/T

0.025Vo=Voe-t/T

t=-TLn(0.0250

t=3.69T=3.7T (approx)

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