SOLUTION: A schematic of a simple electrical circuit consisting of a resistor and an inductor is shown in the figure. The current I at time t is given by the formula I = 25e^(−Rt/L), whe

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: A schematic of a simple electrical circuit consisting of a resistor and an inductor is shown in the figure. The current I at time t is given by the formula I = 25e^(−Rt/L), whe      Log On


   

Question 1148015: A schematic of a simple electrical circuit consisting of a resistor and an inductor is shown in the figure. The current I at time t is given by the formula
I = 25e^(−Rt/L), where R is the resistance and L is the inductance. Solve this equation for t.
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
I = 25e^(−Rt/L), where R is the resistance and L is the inductance. Solve this equation for t.
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I/25 = e^(−Rt/L)
ln%28I%2F25%29+=+-R%2At%2FL
-L%2Aln%28I%2F25%29%2FR+=+t
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Note: I/25 must be <1 for t to be positive.