Shown in the figure below is an RL circuit. The battery has a voltage of 5.40 Volts, the resistor has R = 7550, and the inductor has L = 4.34e-03 Henries. While the switch is open, there is no current flow. At t=0, the switch is closed. V switch R ww L • Determine the time constant of the circuit, t = 32.77 × seconds • Fill in the table of formulas below. Use numerical values for the "max" column and a formula for the "form" column: max VL(t) = VR(t) = V IR(t) = A form • Determine the current at t=1.25e-06 seconds. Amps NOTE: The entries for "max" are numerical. The entries for "form" leave out the leading coefficient. Here are examples: If the answer was: max: form: V(t) = 12 sin(wt) 12 sin(wt) I(t) = 45 log(t/T) 45 log(t/t)

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter23: Faraday’s Law And Inductance
Section: Chapter Questions
Problem 1CQ
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Shown in the figure below is an RL circuit. The battery has a voltage of 5.40 Volts, the resistor has R = 7550, and the inductor has L = 4.34e-03 Henries. While the switch is open, there is no current flow. At t=0,
the switch is closed.
V
switch
R
ww
L
• Determine the time constant of the circuit, t = 32.77
× seconds
• Fill in the table of formulas below. Use numerical values for the "max" column and a formula for the "form" column:
max
VL(t)
=
VR(t) =
V
IR(t) =
A
form
• Determine the current at t=1.25e-06 seconds.
Amps
NOTE: The entries for "max" are numerical. The entries for "form" leave out the leading coefficient. Here are examples:
If the answer was: max: form:
V(t) = 12 sin(wt) 12 sin(wt)
I(t) = 45 log(t/T)
45 log(t/t)
Transcribed Image Text:Shown in the figure below is an RL circuit. The battery has a voltage of 5.40 Volts, the resistor has R = 7550, and the inductor has L = 4.34e-03 Henries. While the switch is open, there is no current flow. At t=0, the switch is closed. V switch R ww L • Determine the time constant of the circuit, t = 32.77 × seconds • Fill in the table of formulas below. Use numerical values for the "max" column and a formula for the "form" column: max VL(t) = VR(t) = V IR(t) = A form • Determine the current at t=1.25e-06 seconds. Amps NOTE: The entries for "max" are numerical. The entries for "form" leave out the leading coefficient. Here are examples: If the answer was: max: form: V(t) = 12 sin(wt) 12 sin(wt) I(t) = 45 log(t/T) 45 log(t/t)
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