(3) An impulse voltage E6(t) is applied at time t = 0 to a circuitconsisting of a resistor R, a capacitor C and an inductor L con-nected in series. Prior to application of this voltage, both thecharge on the capacitor and the resulting current in the circuitare zero. Determine the charge q(t) on the capacitor and theresulting current i(t) in the circuit at time t.

Given, impulse voltage = Eδt (at time t=0) resistor = R capacitor = C Inductor = L Initially,…

Answered: (3) An impulse voltage E6(t) is applied…

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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Similar questions

calculate the time at which the 2 capacitor will have a equal charge. given that the 2 RC circuits (simple) composed of 2mF capacitor, 35kohms resistor, 12V of constant DC source. suppose that at t=0, 1 capacitor is discharged through resistor in its RC circuit (assuming that it is fully charged initially and the DC source is connected) while the other capacitor charged through DC source in its RC circuit through the resistor (assuming that it is uncharged initially).
The current at the terminals of the two capacitors shown is 240e −10tμA for t≥0. The initial values of v1 and v2 are −10 V and −5 V, respectively. Calculate the total energy trapped in the capacitors as t→∞. (Hint: Don’t combine the capacitors in series—find the energy trapped in each, and then add.)
An RC circuit with a capacitance of 1E-1 farad, and a resistance of 2Ω, has an EMF of E(t)=4cos(t) volts applied to it. a. Find the charge on the capacitor, q(t), with q(0)=6/13, and the subsequenct current, I(t). Solve the problem mathamatically (DE) and try to restrain yourself from solving it using your physics knowledge.
An RC circuit has an emf of 5 V, a resistance of 10 ohms, a capacitance of 10 – 2 F, and initially a charge of 5 C on the capacitor. Find an expression for the charge on the capacitor at any time t. Ans.: q = (1/20)[ 1 + 99e – 10t] coulombs
In the circuit given below, it is given as R=2 Ohm, C=0.8 mF. What is the amplitude of the current flowing through the capacitor in this case?
Can you please help with this question? The triangular voltage pulse shown below is applied to a 200 mF capacitor. a) Write the expressions thatdescribe vc(t) in the five time intervals t < 0, 0 ≤ t ≤ 2 , 2 ≤ t ≤ 6, 6 ≤ t ≤ 8, and t > 8. b) Derive theexpressions for the capacitor current, power, and energy for the time intervals in part (a).
The circuit elements in the circuit L=50 mH, and C=0.2 μF. The initial inductor current is−45 mA and the initial capacitor voltage is 15 V. The resistance is increased to250 Ω. Find the expression for v(t) for t≥0.
A 200 Ω resistor, 0.900 H inductor, and 6.00 µF capacitor are connected in series across a voltage source that has voltage amplitude 30.0 V and an angular frequency of 250 rad/s. (a) What are v, vR, vL, and vC at t = 20.0 ms? Compare vR + vL + vC to v at this instant. (b) What are VR, VL, and VC? Compare V to VR + VL + VC. Explain why these two quantities are not equal.
A capacitor consists of two circular plates of radius a separated by a distance d(assume d << a). The centre of each plate is connected to the terminals of a voltagesource by a thin wire. A switch in the circuit is closed at time t = 0 and a current I(t) flows in the circuit. Thecharge on the plate is related to the current according to I (t) = dq/dt. We begin bycalculating the electric field between the plates. Throughout this problem you mayignore edge effects. We assume that the electric field is zero for r > a.(A) Use Gauss’ Law to find the electric field between the plates as a functionof time t, in terms of q(t), a, ε, and π. The vertical direction is the k direction. (B)Now take an imaginary flat disc of radius r < a inside the capacitor, as shownbelow. Using your expression for E above, calculate the electric flux through this flatdisc of radius r < a in the plane midway between the plates, in terms of r, q(t), a,and ε. (C)Calculate the Maxwell displacement…
The uncharged capacitor in the circuit is initially switchedto terminal a of the three-position switch. At t=0, the switch is moved toposition b, where it remains for 15 ms. After the 15 ms delay, the switch ismoved to position c, where it remains indefinitely. 1. Derive the numerical expression for the voltage across the capacitor.
Consider a tank circuit consisting of a 15 µF capacitor and a 15 mH inductor connected in series. At t=0 there is 2.2 mJ of energy stored in the capacitor and 2.2 mJ stored in the inductor, and the capacitor is discharging. (a) How much charge is on the capacitor at t=0 seconds? (C) (b) How much current is in the inductor at t=0 seconds? (A) (c) How much time will elapse until the first instance when the stored energy is entirely in the inductor? (seconds) (d) How much time will elapse until the first instance when the stored energy is entirely in the capacitor? (seconds)
Consider a capacitor C discharging through a resistor R, as shown in the figure. a. After how many time constants is the charge on the capacitor one fourth of its initial value?b. As we know, the energy stored in the capacitor decreases with time as it discharges. After how many time constants is this stored energy one fourth of its initial value?c. After how many time constants is the current in the RC circuit half its initial value?d. What is the power dissipated in the resistor during the capacitor discharge process?

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