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A circuit consists of a 4.0 mH inductor coil, a 170 2 resistor, a 10.0 V ideal battery, and an open switch-all connected in series. The switch closes at time t = 0. just after the switch closes? dt =0 What is the initial rate of change of the current dI 2500 A/s dt =0 What is the steady-state value of the current If a long time after the switch is closed? If = 0.0588 A At what time t75%, does the current in the circuit reach 75% of its steady-state value? t75% = 3.26 x10-5 What is the rate of change of the current when the current in the circuit is equal to - its steady-state value? dt \1=1,12 dI 1.63 x10 A/s dt \1=l2 Incorrect

A circuit consists of a 4.0 mH inductor coil, a 170 2 resistor, a 10.0 V ideal battery, and an open switch-all connected in series. The switch closes at time t = 0. just after the switch closes? dt =0 What is the initial rate of change of the current dI 2500 A/s dt =0 What is the steady-state value of the current If a long time after the switch is closed? If = 0.0588 A At what time t75%, does the current in the circuit reach 75% of its steady-state value? t75% = 3.26 x10-5 What is the rate of change of the current when the current in the circuit is equal to - its steady-state value? dt \1=1,12 dI 1.63 x10 A/s dt \1=l2 Incorrect

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
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A circuit consists of a 4.0 mH4.0 mH inductor coil, a 170 Ω170 Ω resistor, a 10.0 V10.0 V ideal battery, and an open switch—all connected in series. The switch closes at time ?=0.

A circuit consists of a 4.0 mH inductor coil, a 170 Ω resistor, a 10.0 V ideal battery, and an open switch—all connected in series. The switch closes at time \( t = 0 \). 1. **What is the initial rate of change of the current \( \frac{dI}{dt} \big|_{t=0} \) just after the switch closes?** \[ \frac{dI}{dt} \bigg|_{t=0} = 2500 \, \text{A/s} \] 2. **What is the steady-state value of the current \( I_f \) a long time after the switch is closed?** \[ I_f = 0.0588 \, \text{A} \] 3. **At what time \( t_{75\%} \) does the current in the circuit reach 75% of its steady-state value?** \[ t_{75\%} = 3.26 \times 10^{-5} \, \text{s} \] 4. **What is the rate of change of the current \( \frac{dI}{dt} \big|_{I = I_f/2} \) when the current in the circuit is equal to \( \frac{1}{2} \) its steady-state value?** \[ \frac{dI}{dt} \bigg|_{I=I_f/2} = 1.63 \times 10^{-5} \, \text{A/s} \quad (\text{Incorrect}) \] The given value for the rate of change of current when the current is half of its steady-state is marked as "Incorrect."
Transcribed Image Text:A circuit consists of a 4.0 mH inductor coil, a 170 Ω resistor, a 10.0 V ideal battery, and an open switch—all connected in series. The switch closes at time \( t = 0 \). 1. **What is the initial rate of change of the current \( \frac{dI}{dt} \big|_{t=0} \) just after the switch closes?** \[ \frac{dI}{dt} \bigg|_{t=0} = 2500 \, \text{A/s} \] 2. **What is the steady-state value of the current \( I_f \) a long time after the switch is closed?** \[ I_f = 0.0588 \, \text{A} \] 3. **At what time \( t_{75\%} \) does the current in the circuit reach 75% of its steady-state value?** \[ t_{75\%} = 3.26 \times 10^{-5} \, \text{s} \] 4. **What is the rate of change of the current \( \frac{dI}{dt} \big|_{I = I_f/2} \) when the current in the circuit is equal to \( \frac{1}{2} \) its steady-state value?** \[ \frac{dI}{dt} \bigg|_{I=I_f/2} = 1.63 \times 10^{-5} \, \text{A/s} \quad (\text{Incorrect}) \] The given value for the rate of change of current when the current is half of its steady-state is marked as "Incorrect."
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