300 N150Vt=0iiRic5 mH200 N320 nF Vc(t)Fig.Q2The switch in the circuit of Fig.Q2 has been opened for a long time and is closed at t 0.Analyse the circuit to findi)ii)the voltage across the capacitor, ve(t) for t2 0.the current flowing through the inductor iL(t) for t20.Appendix for Question 2DampingNatural Response EquationsCoefficient EquationsOverdampedx(1) - Aje + Azex(0) - A, + Azidx/dr(0) - Ajs, + AszUnderdampedx(1) - (B, cos wt + B, sin a ex(0) - B:dx/dt(0) - -aB + waB2.where w,- Va - aCritically dampedx(1) - (D + D)ex(0) - Dz.dx/dr(0)D- a DDampingStep Response EquationsCoefficient EquationsOverdampedx(1) = X, + Aj e + Asex(0) = X, + Aj + A:dx/dt(0) = Aj s1 + As s2Underdampedx(t) = X, + (Bị cos aat + B sin eaf etx(0) = X, + Bị :dx/dt(0) = -aB + aBCritically dampedx(1) = X + Di tet + Detx(0) = X, + D:dx/dt(0) = D - «Dwhere X, is the final value of x(t).

The circuit before time t < 0 can be made as: In the steady state conditions , the inductor will…

Answered: 150V t=0 iR ic + 5 mH 200 n3 vc(t) 20…

150V t=0 iR ic + 5 mH 200 n3 vc(t) 20 nF7 Fig.Q2 The switch in the circuit of Fig.Q2 has been opened for a long time and is closed at 1= 0. Analyse the circuit to find

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...

See similar textbooks

Similar questions

A)Just after the switch is closed, what is the magnitude of the potential difference Vab across the resistor R1? B)Magnitude of the potential difference Vcd across the inductor L? C)The switch is left closed a long time then opened. Just after the switch is opened, what is the magnitude of the potential difference Vab across the resistor R1? D)What is the magnitude of the potential difference Vcd across the inductor L?
-In the circuit shown on the right the switch S has been open for a long time. What is the current flow through the inductor (0, 2 to 1, or 1 to 2) ? -In the circuit shown on the right the switch S has been open for a long time. At the instant the switch S is closed, the current flow through the inductor is (0, 1 to 2, or 2 to 1)? -In the circuit shown on the right the switch S has been open for a long time. The current flow through the inductor is (increasing, steady, or decreasing)? -In the circuit shown on the right the switch S has been open for a long time. Immediately after the switch S is closed, the current flow through the inductor is (increasing, steady, or deacreasing)? -In the circuit shown on the right the switch S has been closed for a long time. The current flow through the inductor is (1 to 2, 2 to 1, or 0)? -In the circuit shown on the right the switch S has been closed for a long time. At the instant the switch S is opened, the current flow through the inductor is (1…
when there is in a circuit both of the inductor and the capapcitor, why no need for the inital condition modeling ? and please give an example for it. note: type it by keyboard
Q2/ For the network shown in figure (Q2), the switch has been open for a long time before closing at t-0. Determine an expression for the inductor (L=20mH) current İL(t) for t20. 300 SL 36V 12r ii (2othH 50on F 15A lost
differential equationsA circuit with a 10 ohm resistor and a 4.6 henry inductor is connected in series to a 12 volt source. If the initial current in the inductor is 0.5 amps, determine the value of the current after a very long time has elapsed. determine the value of the current after a very long time has elapsed.
A series circuit consisting of an inductor, a resistor, and a capaci-tor is open. There is an initial charge of 2 coulombs on the capacitor, and 3 amperes of current is present in the circuit at the instant the circuit is closed. A voltage given by E(t) = 20 cos t is applied. In this circuit the voltage drops are numerically equal to the following: across the resistor to 4 times the instantaneous change in the charge, across the capacitor to 10 times the charge, and across the inductor to 2 times the instantaneous change in the current. Find the charge on the capacitor as a function of time. Determine the charge on the capacitor and the current at time t = 10.
About the circuit below:a) How long does it take for the current in the inductor to reach 30% of its maximum value?b) After 1 time constant in the closed position, the switch is opened at t = 0. Find the current and voltage in the inductor when t>0.c) Sketch the behavior (waveforms) of voltage and current in the inductor and resistor R2 in the storage and discharge (decay) phase of the inductor.R1 = R5 = 50 ΩR2 = R4 = 15 ΩR3 = R6 = 25 ΩV = 2500 vL1 = 50 mH
For the circuit in Figure 3 the switch is in the left position for several minutes: (a) Find the Initlal voltage, V, on the capacitor just before the switch is flipped (b) Find an expression v(t) that describes the voltage across the 20 N resistor after the switch has been Figure 3 U 09 flipped to the right NOTE: Remember what we said in class: use a Circuit-Specific Equation to get a value you know. Then solve for whatever else the problem asks for +50 µF 380 0 20 2
4) For the circuit in figure a) What is the relation between Icharging and q? b) Write down Kirchoff's potential law clockwise around the circuit in terms of the variables q and dq/dt. c) Seperate the differential equation so that it is ready to integrate. Do not integrate. Switch S. Vs 5) For the circuit in figure a) Write down Kirchoff's current law at the point e. b) Write down Kirchoff's potential law around the loop abcdea. c) Write down Kirchoff's potential law around the loop abcdefgha. Do not solve the equations 4=18 V 0.50 250 S. S150 050
Q1/ For the network shown in figure (Q1), the switch has been in position "a" for a long time. At t-0, the switch moves and stays at position "b". Determine an expression for the inductor current iL(t) when t20 using the general solution formula. 5a ilt) 12 2 tzo 20 7lom R 72V T24oV
Q2/ For the network shown in figure (Q:), the switch has been open for a long time before closing at t-0. Determine an expression for the inductor (L-20mH) current İL(t) for 120. 300 36V 6venF 12A 15A lost
A capacitor C with 1 mF is charged by a constant voltage source (U). Source and capacitor are connected by a resistor R with 10 kQ. To discharge the capacitor the source is replaced by a short. U R charging C R discharging b) Please draw the voltage at the capacitor and the current / over a suitable timeframe. Indicate the time constant at the x-axis. c) How much energy is stored when the voltage is set to 10 V. d) When the constant voltage source is replaced by an alternating voltage source with a sinusoidal output, please derive the magnitude of the transfer function H(jw)=Uin/out when yout is the voltage at the capacitor for w → 0 and w→∞. What kind of filter is obtained? How can the filter characteristics be inverted? e) The voltage source is replaced by a constant current source with an output of 1 mA. Please draw the voltage at the capacitor qualitatively over the time.