23.10 RL Circuits We know that the current through an inductor L cannot be turned on or off instantaneously. The change in current changes flux, inducing an emf opposing the change (Lenz's law). How long does the opposition last? Current will flow and can be turned off, but how long does it take? Figure 23.44 shows a switching circuit that can be used to examine current through an inductor as a function of time. 0.6321. 0.3681, O r= L/R 21 O 1= LR 2 3т 47 Зг 4t (a) (b) (c) Figure 23.44 (a) An RL circuit with a switch to turn current on and off. When in position 1, the battery, resistor, and inductor are in series and a current is established. In position 2, the battery is removed and the current eventually stops because of energy loss in the resistor. (b) A graph of current growth versus time when the switch is moved to position 1. (c) A graph of current decay when the switch is moved to position 2.

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 RL Circuits
• Calculate the current in an RL circuit after a specified number of characteristic time steps.
• Calculate the characteristic time of an RL circuit.
• Sketch the current in an RL circuit over time.

23.10 RL Circuits
We know that the current through an inductor L cannot be turned on or off instantaneously. The change in current changes flux,
inducing an emf opposing the change (Lenz's law). How long does the opposition last? Current will flow and can be turned off,
but how long does it take? Figure 23.44 shows a switching circuit that can be used to examine current through an inductor as a
function of time.
0.6321.
0.3681,
O r= L/R 21
O 1= LR 2
3т
47
Зг
4t
(a)
(b)
(c)
Figure 23.44 (a) An RL circuit with a switch to turn current on and off. When in position 1, the battery, resistor, and inductor are in series and a current
is established. In position 2, the battery is removed and the current eventually stops because of energy loss in the resistor. (b) A graph of current
growth versus time when the switch is moved to position 1. (c) A graph of current decay when the switch is moved to position 2.
Transcribed Image Text:23.10 RL Circuits We know that the current through an inductor L cannot be turned on or off instantaneously. The change in current changes flux, inducing an emf opposing the change (Lenz's law). How long does the opposition last? Current will flow and can be turned off, but how long does it take? Figure 23.44 shows a switching circuit that can be used to examine current through an inductor as a function of time. 0.6321. 0.3681, O r= L/R 21 O 1= LR 2 3т 47 Зг 4t (a) (b) (c) Figure 23.44 (a) An RL circuit with a switch to turn current on and off. When in position 1, the battery, resistor, and inductor are in series and a current is established. In position 2, the battery is removed and the current eventually stops because of energy loss in the resistor. (b) A graph of current growth versus time when the switch is moved to position 1. (c) A graph of current decay when the switch is moved to position 2.
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