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W09 314 HW08 extra credit Ind kick

# W09 314 HW08 extra credit Ind kick - EECS314Winter2009...

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EECS 314 Winter 2009 HW 08 Extra credit problem on the Inductive Kick © 2009 Alexander Ganago Page 1 of 4 Extra Credit Problem on the Inductive Kick (50 points) Due date: Tuesday March 24, 2009, before the lecture An abrupt change of inductor current (for example, an interruption of current when the switch is suddenly open) causes an abrupt change of inductor voltage, known as the inductor’s kickback (which can damage the switch and can be dangerous for the human operator). Note that an inductor has many loops of wire around a magnetic core, and an electric motor has many loops of wire around a magnetic core thus motors act as inductive loads, in particular, motors exhibit the kickback. Consider the circuit shown on the diagram. Here the battery is shown as a combination of the voltage source V B and resistance R B ; the DC motor is shown as a series combination of the inductance L and resistance R M , and R S is the shunt resistance. Consider the role of the shunt resistor R S : if it is large, the inductive kick at time t=0+ gets high and dangerous for the operator and the circuit; if R S is small, it consumes too much power at time t<0 (due to current division).

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W09 314 HW08 extra credit Ind kick - EECS314Winter2009...

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