How Does an Inductor's DC Behavior Affect Circuit Current Buildup?

[strawberrysk8]

Homework Statement

Assume that resistor R has a resistance of 34.2 Ω, inductor L has an inductance of 152 mH (milli-Henry), and the battery has a voltage of 33.7 V. Also assume that the circuit elements are ideal.

If the switch S is closed suddenly, the time for the current to attain a value of 82.1 mA is...

Homework Equations

I=I_max(1-e^(-t/T))
T=L/R

The Attempt at a Solution

I need help finding I_max.

82.1 mA=I_max(1-e^(-t/(152/34.2)))

Why do they give me V?

 

[alphysicist]

Hi strawberrysk8,

Homework Statement

Assume that resistor R has a resistance of 34.2 Ω, inductor L has an inductance of 152 mH (milli-Henry), and the battery has a voltage of 33.7 V. Also assume that the circuit elements are ideal.

If the switch S is closed suddenly, the time for the current to attain a value of 82.1 mA is...

Homework Equations

I=I_max(1-e^(-t/T))
T=L/R

The Attempt at a Solution

I need help finding I_max.

82.1 mA=I_max(1-e^(-t/(152/34.2)))

Why do they give me V?

I_max is the current in the circuit after the current has stopped changing (reached its final value). At that point, the inductor is not affecting the circuit (has no voltage drop across it). So how can you find I_max?