The LC circuit shown below has a total energy of 32 J. Determine the initial charge on the capacitor, maximum current, the frequency, & the period.C = 815 µF000L = 194 mHQ =Imaxf =T =Part 2: Finding IAn LC circuit has a maximum current of 4 A. Determine the current in the circuit when the capacitor's potential energy is twelve times the inductor's potential energy.

In this question, we need to determine the charge Q, maximum current, frequency and time period.

Answered: The LC circuit shown below has a total…

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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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.
An inductor coil with an inductance of 10 mH is connected in series with a capacitor to form an LC oscillator circuit system. A 2 μF capacitor at time t = 0 stores a potential difference Vc(?=0) = 60 V. Determine the potential difference across the inductor as a function of time, VL(?) and Determine the rate of change of current strength as a function of time flowing in the circuit, ??/??(?).
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…
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).
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)
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.)
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?
An electrical circuit has a very small resistance so it can be despised. The capacitor on the left was charged up to the voltage of Vo=10 volts and then, at time t=0, the switch S was closed. The capacity of the capacitors are C=60 µF, and the coil inductance is L=0.04 HI) Find the voltage on the left capacitor, at the instant V1=0.001 s.II) Find the voltage in the right capacitor, at the instant t=002 s.
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
Let Vs=530tᶾ v, leg t >0 and iL (0) = 1 A, in the circuit shown, at t=0.2s, determine the values of the energy stored in the capacitor and the coil. The circuit is in the attached image.
An inductance of 1 H, a resistance of 8 Ω and capacitance of 0.04 F are connected in series with a variable voltage E = 50 sin 3t. Find the current and charge in the system, given the initial conditions q = 0 and l = 0 when t = 0, using method of solution of higher order linear ordinary differential equation.
The potential difference between the terminals of the capacitor at the initial (t = 0) moment in the RC circuit given in Figure 3.is zero (VC (0) = 0V). At t = 0 the switch is closed. Element values: E = 10V, R = 100kΩ, C = 7µF.VC (t) = E (1 - e− t / RC) (a) After three seconds, the capacitor voltage becomes 5V? (VC (t) = 5V) (b) After 2 seconds, how many Volts will the capacitor voltage be? (VC (2) =?)

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