Find the time it takes the current to reach 0.999% of its maximum value. Express your answer numerically, in units of 7. Use three significant figures. Submit Request Answer ▾ Part L ⒸG? Find the time t it takes the current to reach 99.999% of its maximum value. Assume that R=10 ohms and L=50 millihenrys. Express your answer in seconds, using three significant figures. ▾ Part M Submit Request Answer (? Part N Submit Request Answer T Find the time t it takes the current to reach 99.999% of its maximum value. Assume that R = 0.0100 ohms and L5.00 henrys. Express your answer in seconds, using three significant figures. () = ? (1 minute) seconds seconds What fraction of the maximum value will be reached by the current one minute after the switch is closed? Again, assume that R = 0.0100 ohms and L5.00 henrys. Use three significant figures in your answer. GI ? 9 of 15 Review I Constants

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+ The R-L Circuit: Responding to Changes
Learning Goal:
To understand the behavior of an inductor in a series R-L circuit.
In a circuit containing only resistors, the basic (though not necessarily explicit)
assumption is that the current reaches its steady-state value instantly. This is
not the case for a circuit containing inductors. Due to a fundamental property of
an inductor to mitigate any "externally imposed" change in current, the current
in such a circuit changes gradually when a switch is closed or opened.
Consider a series circuit containing a resistor of resistance R and an inductor
of inductance I connected to a source of emf & and negligible internal
resistance. The wires (including the ones that make up the inductor) are also
assumed to have negligible resistance. (Figure 1)
Let us start by analyzing the process that takes place after switch S₁ is closed
(switch S2 remains open). In our further analysis, lowercase letters will denote
the instantaneous values of various quantities, whereas capital letters will
denote the maximum values of the respective quantities.
Note that at any time during the process, Kirchhoff's loop rule holds and is,
indeed, helpful:
Figure
E-vR-vL=0
R
te
oooo
1 of 2
Find the time t it takes the current to reach 99.999% of its maximum value.
Express your answer numerically, in units of T. Use three significant figures.
t =
Submit
Part L
t =
Submit
Find the time t it takes the current to reach 99.999% of its maximum value. Assume that R = 10
Express your answer in seconds, using three significant figures.
Part M
t =
Submit
6
Part N
(3 ?
Request Answer
i(1 minute)
Request Answer
Find the time t it takes the current to reach 99.999% of its maximum value. Assume that R = 0.0100
Express your answer in seconds, using three significant figures.
?
Request Answer
seconds
E ?
seconds
ohms and L=50 millihenrys.
( 3 ?
ohms and L= 5.00
What fraction of the maximum value will be reached by the current one minute after the switch is closed? Again, assume that R = 0.0100
Use three significant figures in your answer.
henrys.
ohms and L=5.00 henrys.
9 of 15
Review |
Constants
Transcribed Image Text:+ The R-L Circuit: Responding to Changes Learning Goal: To understand the behavior of an inductor in a series R-L circuit. In a circuit containing only resistors, the basic (though not necessarily explicit) assumption is that the current reaches its steady-state value instantly. This is not the case for a circuit containing inductors. Due to a fundamental property of an inductor to mitigate any "externally imposed" change in current, the current in such a circuit changes gradually when a switch is closed or opened. Consider a series circuit containing a resistor of resistance R and an inductor of inductance I connected to a source of emf & and negligible internal resistance. The wires (including the ones that make up the inductor) are also assumed to have negligible resistance. (Figure 1) Let us start by analyzing the process that takes place after switch S₁ is closed (switch S2 remains open). In our further analysis, lowercase letters will denote the instantaneous values of various quantities, whereas capital letters will denote the maximum values of the respective quantities. Note that at any time during the process, Kirchhoff's loop rule holds and is, indeed, helpful: Figure E-vR-vL=0 R te oooo 1 of 2 Find the time t it takes the current to reach 99.999% of its maximum value. Express your answer numerically, in units of T. Use three significant figures. t = Submit Part L t = Submit Find the time t it takes the current to reach 99.999% of its maximum value. Assume that R = 10 Express your answer in seconds, using three significant figures. Part M t = Submit 6 Part N (3 ? Request Answer i(1 minute) Request Answer Find the time t it takes the current to reach 99.999% of its maximum value. Assume that R = 0.0100 Express your answer in seconds, using three significant figures. ? Request Answer seconds E ? seconds ohms and L=50 millihenrys. ( 3 ? ohms and L= 5.00 What fraction of the maximum value will be reached by the current one minute after the switch is closed? Again, assume that R = 0.0100 Use three significant figures in your answer. henrys. ohms and L=5.00 henrys. 9 of 15 Review | Constants
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