PhysicsLAB AP Free Response Question
2005 C2 E&M

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In the circuit shown below, resistors 1 and 2 of resistance R1 and R2, respectively, and an inductor of inductance L are connected to a battery of emf and a switch S. The switch is closed at time t = 0.
 
 
Express all algebraic answers in terms of the given quantities and fundamental constants.
 
 (a) Determine the current through resistor 1 immediately after the switch is closed.

 (b) Determine the magnitude of the initial rate of change of current, dI/dt, in the inductor.

 (c) Determine the current through the battery a long time after the switch has been closed.

 
(d) On the axes below, sketch a graph of the current through the battery as a function of time.
 

Some time after steady state has been reached, the switch is opened.
 
 (e) Determine the voltage across resistor 2 just after the switch has been opened.




 
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