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Time Constant Circuits
23 questions By Tony R. Kuphaldt
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Question 7 of 23
Suppose this circuit were constructed, using an inductor and an ammeter connected in series with it to measure its current:
What will happen to the inductor’s current after the switch is closed? Be as precise as you can with your answer, and explain why it does what it does.
Reveal answerThe inductor’s current will increase asymptotically over time when the switch is closed, with an ultimate current equal to the voltage of the source (battery) divided by the total resistance of the circuit.
Notes:A qualitative analysis of this circuit’s behavior may be performed without using any calculus, or even algebra. Ask students to explain what happens to the voltage across the inductor as the circuit current beings to increase, and what effect that has on the rate of current rise, and so on, graphing the results for all too see.
Hint: the rate of current rise through an inductor is in direct proportion to the quantity of voltage dropped across the inductor.
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Question 8 of 23
Graph both the capacitor voltage (EC) and the capacitor current (IC) over time as the switch is closed in this circuit. Assume the capacitor begins in a complete uncharged state (0 volts):
Reveal answer
Notes:Have your students explain why the voltage and current curves are shaped as they are.
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Question 9 of 23
Graph both the inductor voltage (EL) and the inductor current (IL) over time as the switch is closed in this circuit:
Reveal answer
Notes:Have your students explain why the voltage and current curves are shaped as they are.
