PhysicsLAB: 2005 C2 E&M

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.