Answered: Draw the Thevenin equivalent circuit as… | bartleby

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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Question

In the circuit shown below, the switch has been open a long time and the
circuit is initially in steady-state. At t=0, the switch is closed. R1=0.2Ω, and
R2=0.4Ω. The batteries have EMFs E1=1V and E2=3V. The capacitor has
capacitance 10 μF. Hint: What is the voltage on the capacitor just before the switch
is closed? Note that there is a voltage drop over the open switch.
a) What is the voltage over the capacitor before the switch is closed?
b) Draw the Thevenin equivalent circuit as seen by the capacitor.
c) What is the time constant for charging the capacitor?
d) What is the voltage on the capacitor as a function of time?

E,
C
R2

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The figure displays two circuits with a charged capacitor that is to be discharged through a resistor when a switch is closed. In figure (a) below, R₁ = 23.32 and C₁ = 5.04 μF. In figure (b) below, R2 = 10.82 and C₂ = 8.10 μF. The ratio of the initial charges on the two capacitors is 902/901 = 1.61. At time t = 0, both switches are closed. At what time t do the two capacitors have the same charge? 0.0 (a) (b) Number i Units
In the diagram below, the switch S has been closed for a long time. A) What is the output voltage Vout? What is the charge on the capacitor? b) The switch is opened, so the output voltage increases. What is the time constant that describes the charging of the capacitor in terms of R and C? c) When Vout reaches 10 V, the switch closes and the capacitor begins to discharge. What is the time constant that describes the discharging in terms of R and C? Hint: Apply Kirchhoff's Rules to both loops and the sum of the currents at the junction above the capacitor in the diagram, and use I=dq/dt. If the switch opens when Vout reaches a lower value, say 5V, the capacitor will charge again, and thus one can cycle the voltage with a time constant determined by the circuit: this demonstrates the principle of operation of an electronic timer. 4R S 15 V Vout R
In the circuit at right, a 100 mH inductor and a 5 N resistor are connected by a switch to a 6 V battery. hlllo a. After the switch is thrown to position a (connecting the battery), what time interval elapses before the current through the inductor is 200 mA? b. What is the current through the inductor 10 seconds later? c. Now the switch is quickly thrown from position a to position b, such that the inductor and resistor form a complete circuit separate from the battery. How much time elapses before the current falls to 200 mA? R L bọ

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