Respuesta :

The time for current in an rl circuit is to reach half its final value is

t=−0.3416225

How long does it take for the current in an rl circuit with r = 140 ? and l = 69 mh to reach half its final value?

Question Parameter(s):

the current in an rl circuit with r = 140 ? and l = 69 mh

Generally, the equation for the  Current  is mathematically given as

[tex]I = \frac{V}{R} (1 - e^{- \frac{R}{L}t } )[/tex]

Therefore, in order for current to reach half its final value we must have

[tex]e^{- \frac{R}{L}t } = 0.5[/tex]

In conclusion

[tex]e^{- \frac{R}{L}t } = 0.5[/tex]

Hence

t=−0.3416225

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