6.53 Develop a differential equation for iL(t) in the circuitof Fig. P6.53. Solve it to determine iĻ(t) for t > 0 subjectto the following element values: Iş = 36 µA, Rs = 100 k2,R = 100 2, L= 10 mH, and C = 10 µF.R|İLt = 0RLFigure P6.53: Circuit for Problem 6.53.

The given circuit is shown below: It is given that: Is=36 μA=36×10-6 ARs=100 KΩ=100×103 ΩR=100…

6.53 Develop a differential equation for iL(t) in the circuit of Fig. P6.53. Solve it to determine iL(t) for t > 0 subject to the following element values: Iş = 36 µA, Rs = 100 k2, R = 100 2, L = 10 mH, and C = 10 µF. %3D %3D

6.53 Develop a differential equation for iL(t) in the circuit of Fig. P6.53. Solve it to determine iL(t) for t > 0 subject to the following element values: Iş = 36 µA, Rs = 100 k2, R = 100 2, L = 10 mH, and C = 10 µF. %3D %3D

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

Related questions

Q: 6.41.1 The voltage across an inductor with 2 H capacitance is 12. (1 – e-dr) v, where a = 1.2. If…

A: Inductor doesn't allow Sudden change of current.

Q: Task 3 a) The current, i, through a capacitor depends on time, t, and is given by i=c(dv) where V is…

A: Given:The current through the capacitor is given by,The change in current wrt voltage is given by,Is…

Q: 6.58 Find L7 in the circuit in Fig. P6.58. 12 µH 4 uH 5 pµH 2 H 6 µH 3 pH

Q: oblem 4 The current through a 12-mH inductor is 4 sin 100t A. Find the voltage, across the inductor…

Q: 6.6 For the RLC circuit shown in Fig. P6.6, suppose that R = 12, L=H, C = 4F, and Vs = 4 V. Find…

A: The given circuit isR=1 Ω.L=12H.C=14F.Vs=4 V.We need to determine the expression of i(t) and v(t)…

Q: 6.21. Find all currents and voltages for t > 0 in this cir- cuit. Assume dc steady state at t = :…

Q: Please answer in typing format

A: Step 1:Step 2:Step 3: Step 4:

Q: An inductor with a cross-sectional area of 6.9*10^-3m^2 and a length of 24 cm has an inductance of…

A: It is given that: A=6.9×10-3m2l=24cmL=7.3mH

Q: 6.24.2 In the circuit below, all the capacitors have already reached steady state (no current…

A: Capacitor connected in series are calculated as 1Ceq=1C1+1C2+.... Capacitor connected in parallel…

Q: the earliest time (after t = 0) when the current is 0.707 A. (c) Using identities, trigonometric…

A: v(t) = 10 sin (1000 t) V i(t) = 0.707 sin (1000 t + 45o) A R = 10 Ω L = 10 mH C = 50 μF vR(t) = 7.07…

Q: A 10 uF capacitor and a 6uF capacitor are connected in parallel. Find the energy stored by the…

Q: th inductance L = 0.2 H and negligible resistance is com ritch S, and two resistors, R, = 15 N and…

Q: The inductors in Fig. P6.74 are initially charged and are

Q: 6.36 Given the network in Fig. P6.36, find (a) the power dissi- pated in the 3-2 resistor and (b)…

A: As we know capacitor when connected to a dc source for a long time behaves a open circuit and…

Q: Given C = 0.7 mF. R₁ = 124 Ohms, R₂ = 428 Ohms, and L = 1 H in Fig. P6.38, compute the voltage…

Q: 1 The two series-connected capacitors in Fig. P6.31 are connected to the terminals of a black box at…

Q: 6) Consider an LC circuit with C = 1 μF and L = 2 mH. At a given instant, the capacitor has 1/4 of…

A: It is given that: C=1 μFL=2 mHEC=14ECmaxPL=0.25 W

Q: The two series-connected capacitors in Fig. P6.31 are connected to the terminals of a black box at t…

A: As per Bartleby guidelines we are allowed to solve only three subparts, please ask the rest again.

Q: The voltage across a 10-pF capacitor is given by the waveform in Fig. P6.16. Plot the waveform for…

A: Given, C=10 μF

Q: Show

Q: 9. Repeat Prob. 8 for the capacitors in series instead of in parallel, but find each capacitor…

Q: Please answer in typing format solution

A: To determine the initial condition of the current (the constant C) in the inductor given the voltage…

Q: A 220 microfarad capacitor has an initial charged of 800 microcoulomb. It is discharged through a…

Q: Using V = 9 mV, and given the voltage across an inductor L = 10 mH as shown in Fig. P6.25, determine…

Q: Using V = 14 mV, and given the voltage across an inductor L = 2 mH as shown in Fig. P6.25, determine…

Q: v(t) = -3e-3t V and i(t) = 4 + 2e-3t A fort >0

A: Designing a circuit can be done in multiple way. It is depend on the designer and their knowledge.…

Q: The voltage across a 5-H inductor is 10e-3: +20e-4: V. If the initial current through the inductor…

Q: 6.24.1 In the circuit below, all the capacitors have already reached steady state (no current…

Q: 6.14 The current shown in Fig. P6.14 is applied to a PSPICE 0.25 μF capacitor. The initial voltage…

A: Given DataC = 0.25 uF , initial voltage is zeroa) Find the charge on capacitor at t=15 microsecondb)…

Q: Circuits 1 HW 5 Q7

A: Given:The current waveform of a 200 nF capacitor, with initial voltage -60.6 V, iswe need to…

Q: A series circuit contains R=0, L=1 H, C=10-4 F and E=100sin50t V. Initially, the charge and current…

A: given circuit

Q: None

Q: 6.41 Find C in the network shown in Fig. P6.41. 2 F 4 pF2 8 F 6 µF 4 uF CT 12 F Figure P6.41

Q: The voltage across a 5-H inductor is 10e" +20e V. If the initial current through the inductor is 3A,…

Q: A series RLC circuit has a hypothetical current that is described by the expression, I(t) = -4e-2t…

Q: capacitor with a capacitance of 29 microfarads is discharged through a resistance of 36 kilo-ohms.…

A: We need to find out time at which capacitor voltage become 1/e times of initial voltage .

Q: inductor in an electric circuit is essentially a coil of wire in which the voltage is affected by a…

Q: 6.32 The four capacitors in the circuit in Fig. P6.32 are con- nected across the terminals of a…

A: “Since you have posted a question with multiple sub parts,we will provide the solution only to the…

Q: 8. If the diode polarity is reversed in item number 6, what is the diode current? The diode voltage?

Q: 6.24.2 In the circuit below, all the capacitors have already reached steady state (no current…

Q: Using V = 4 mV, and given the voltage across an inductor L = 12 mH as shown in Fig. P6.25, determine…

A: In this question we need to find the value of X. Let's assume the current through the inductor is…

Q: vc. + 5 H 20 μF Answer v = 600-800e-80t cos60t V t = 0 io + Vo Black box

A: The above question is based on the analysis of electrical circuits.The voltage across an inductor L…

Q: present a derivation for the expressions of the energy stored in a capacitor and inductor

Q: The voltage across a capacitor with the value C = 4 F is given by the waveform in Fig.P6.10. Find…

Q: Using V = 3 mV, and given the voltage across an inductor L = 15 mH as shown in Fig. P6.25, determine…

A: The question is about finding current through inductor.

Q: 37 Determine (1) in the circuit of Fig. 6.37 aveform for 1 > 0. 302 24 V 1=0 2 mH th fic еее 0.5 mF…

A: uproperties

Question

6.53 Develop a differential equation for iL(t) in the circuit
of Fig. P6.53. Solve it to determine iĻ(t) for t > 0 subject
to the following element values: Iş = 36 µA, Rs = 100 k2,
R = 100 2, L= 10 mH, and C = 10 µF.
R
|İL
t = 0
R
L
Figure P6.53: Circuit for Problem 6.53.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step 3

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 3 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, electrical-engineering and related others by exploring similar questions and additional content below.

Similar questions

A1
6.2.40 help!
6.24.2 In the circuit below, all the capacitors have already reached steady state (no current flowing through the capacitors). Determine the energy (in mJ) stored in capacitor C5, if C₁ = 12 μF, C₂ = 20 μF, C3= 25 μF, C₁ = 23 μF, and C5= 10 μF. Please pay attention: the numbers may change since they are randomized. Your answer must include 2 places after the decimal point. 15 mA Your Answer: 10 ΚΩ C₁ C₂ C3 CA C5
The voltage across a capacitor with the value C = 4 F is given by the waveform in Fig.P6.10. Find the waveform for the current in the capacitor for the time interval Os ≤ t≤t2, given that t2 = 15s. PCV) +12 -12 A t1 t2 t3 t4 t(s)
Assume that the initial energy stored in the inductors of Figs. P6.23(a) and (b) is zero. Find the equivalent inductance with respect to the terminals a, b. PSPICE MULTISIM Figure P6.23 (a) 12 mH 24 mH 10 mH 20 mH 30 mH 9 mH, i5 mH3 8 mH be (b) 25 μΗ 18 μΗ a 60 μΗ 20 μΗ 30 μΗ 75 μΗ 12 μΗ 15 μΗ 38 μΗ
Please answer in typing format solution
A capacitor with a capacitance of 32 microfarads is discharged through a resistance of 53 kilo-ohms. How many milliseconds does it take for the voltage to drop to 1/e of its initial value. Here "e" is the base of natural logarithms, about 2.718 .
The charge on a C = 0.4F capacitor is measured as a function of time in a physics lab and produces following graph. The capacitor is part of a simple circuit having only a battery, a capacitor, and a resistor in series. The capacitor starts uncharged and at t=0s, the battery is plugged in and the capacitor charges. In general, the charge of a charging capacitor is given by: q(t) = Qmax(1 – e-t/RC) Charge vs. Time 20 18 16 14 O 12 10 6. 4 2 3 7 8. 10 Time (s) Chart Area Use the graph to estimate the time constant for this circuit, r. Estimate the resistance of the resistor R in this circuit. Charge (C) 00
The initial values of i1 and i2 in the circuitshown (6.4) are 60 A and 240 A, respectively. The voltage at the terminals of the parallel inductorsfor t> 0 is -30e^-5t mV If the parallel inductors are replaced by asingle inductor, what is its inductance in (mH) if L1=18mH and L2=131mH? V i(t) 40 L1 ₂(1) L2
Please answer in typing format
6.8.2 A capacitor with 1.5 mF capacitance has the terminal voltage Vo V, t0 initial current is 2.1 A, determine the constant B. Please pay attention: the numbers may change since they are randomized. Your answer must include 1 place after the decimal point. Your Answer: Answer
6.13 Initially there was no energy stored in the 5 H inductor in the circuit in Fig. P6.13 when it was placed across the terminals of the voltmeter. At