EHEswitchThe figure above shows a circuit containing an electromotive force (a battery), a capacitor with a capacitance of C farads (F), and a resistorwith a resistance of R ohms (). The voltage drop across the capacitor is Q/C, where is the charge (in coulombs), so in this caseKirchhoff's Law givesSince the current is I = =RdQIdtwe haveRFind the charge and the current at time t.Q(t) =I(t) =RI+dQdtQс=E(t).=-=-=-Q=•Q = E(t).Suppose the resistance is 20 , the capacitance is 0.2F, a battery gives a constant voltage of E(t) = 60V, and the initial charge is Q(0) = 0C

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Answered: switch The figure above shows a circuit…

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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Consider a RC network made of one resistor and one capacitor in series. Draw the charge stored in the capacitor and the current in the circuit as function of time for both cases, charging and discharging. In the circuit shown in the figure below the 20[pF] capacitor initially has a charge of 3.5 [nc] on its plates. After the switch is closed, what will the current in the circuit be when the capacitors have lost 80% of their initial energy? Hint: Work with the equations for i(t). 10.0 pF 20.0, pF 非 15.0 pF 25.02 Figure 3
1.1) Figure shows an electrical circuit where capacitor located diagonally, is at a potential difference of 5.0 V and a capacitance given by C3 = C. C₂=4C 11 15 V HH C₁=C b a C6=0,5 C C₁=CT HE HH C₁=C 15 V Then find the value of the capacitance C, so that equivalent capacitance of C₁ y C₂ is equal to equivalent capacitance of C4, C5 and Co. Also, calculate the potential difference across the capacitor of capacity 0.5 C.
Fill in the blanksadd, capacitance, charge capacity, dielectric, dissipate, electrical circuits, , passive, plates,proximity, storesA capacitor is a 1 …………. two-terminal electrical component that 2 ……… potential energy in anelectric field. The effect of a capacitor is known as 3. …………... While some capacitance exists betweenany two electrical conductors in 4. …………… in a circuit, a capacitor is a component designed to 5.…… capacitance to a circuit. The capacitor was originally known as a condenser.The physical form and construction of practical capacitors vary widely and many capacitor types are incommon use. Most capacitors contain at least two electrical conductors often in the form of metallic 6.………… or surfaces separated by a 7. ………medium. A conductor may be a foil, thin film, or anelectrolyte. The nonconducting dielectric acts to increase the capacitor's 8. ………… ………. Materialscommonly used as dielectrics include glass, ceramic, plastic film, paper, mica, and oxide…
You have seen how Kirchhoff's laws were used in your lectures to obtain a 2nd order differential equation where we solved for the current. This time we will use an even simpler concept: principle of conservation of energy to derive the 2nd order differential equation where we will solve for the charge. Take a look at the circuit below. 2F In the circuit above, we have a capacitor with capacitance 2 F, an inductor of inductance 5 H and a resistor of 32 (a) The total energy that is supplied to the resistor is LI? Q? E = 2 where L is the inductance, I is the current, C is the capacitance and Q is the charge. Write down the total energy supplied E in terms of Q and t only. Remember that I: dQ %3D dt (b) Now you know that the power dissipation through a resistor is -1 R. Use the conservation of energy (energy gain rate cenergy loss rate) to derive the differential equation in terms Q and t only. (c) Solve the differential equation for initial charge to be Qo with a initial current of…
3-10 A0.25-F capacitor has a current waveform i(t) as shown in Figure P3–10. Determine and plot the voltage waveform v(t) as a function of time. The capacitor is initially a and plot the voltage waveform v(t) as a function of time. The capacitor is imu uncharged. FIGURE P3-10 ilt) 4 A 6. -4 A
6. For a resistor, what resistance corresponds to a short circuit? For an uncharged capacitor, what value capacitance corresponds to a short circuit? Explain your answers. a. Repeat for an open circuit.
A battery is used to charge a capacitor through a resistor as shown in the following figure. After the switch is closed the energy supplied by the batteryis E. Find the Joule heat produced in the resistor and the energy which is stored in the capacitor.
VR C R E An R-C series circuit consists of a capacitor with capacitance, C, connected in series with a resistor with resistance, R. The resistance, R, is a circuit parameter that opposes the amount of electric charges Q, passing through the circuit per unit time and causes a drop in potential given by Ohm's Law while the capacitance, C, is a circuit parameter that measures the amount of electric charges that the current carries and stores in the capacitor. Both the resistor and capacitor cause the total drop in electric potential and is equivalent to the total electromotive force, E, which is produced by a voltage source such as batteries. E=+Rat As soon as the switch is opened, the initial charge Q, that is stored in the capacitor varies through time, t. In the given differential equation above, the charge Q and the time t are the dependent and independent variables, respectively. The electromotive force E, the resistance R, and the capacitance C are constants. Using A as the constant…
A resistor of resistance 20 ohms is in series with an inductor of inductance 2H. At t = 0, it is suddenly connected to a dc source voltage of 50V. Determine the current in the circuit at any time t. Determine the current and the voltages across each element at t = 15ms.
A steady current of 3.5 A is flowing through an inductor with 70 volts across it, Find (a) Inductance of the coll if the current falls to zero in 160 msec, (b) Energy stored in the inductor, (c) Number of turns in the inductor for a flux of 50 mWb. Use Thevenin's theorem to simi

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