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Engineering Analysis Homework #1 Problem #1 RLC Circuit: A simple electric circuit consisting of a resistor,...
RLC circuit in series A resistor R is connected in series to an inductor L and...
RLC circuit in series A resistor R is connected in series to an inductor L and a capacitor C, without any external emf sources. (a) Using the fact that the energy stored in both the capacitor and the inductor is being dissipated in the resistor, show that the charge on the capacitor q(t) satisfies the differential equation d^2 q/ dt^2 + Rdq/Ldt + q/LC = 0. This is the equation of a damped oscillator and it has a solution of...
Problem 1 An RLC circuit (as shown in page 79 in the textbook) has a resistor...
Problem 1 An RLC circuit (as shown in page 79 in the textbook) has a resistor of Rohms, an inductor with an inductance of 2 henries, and a capacitor with a capacitance of 0.5 farads. A battery is connected to the circuit giving a voltage V(1) = 2 cos(31) in volts) where 1 is given in seconds. 1) Write the differential equation satisfied by the charge Q(1) (in Coulombs) on the capacitor at time t. Answer: ii) Let $R=1$. Use...
An RLC series circuit has a voltage source given by E(t)= 20 V, a resistor of...
An RLC series circuit has a voltage source given by E(t)= 20 V, a resistor of 245 Q, an inductor of 7 H, and a capacitor of 0.05 F. If the initial current is zero and the initial charge on the capacitor is 9 C, determine the current in the circuit for t> 0. |(t) = (Type an exact answer, using radicals as needed.)
17. Consider a series RLC circuit consisting of a 3.5 resistor, a 8.8 x 10-3 H...
17. Consider a series RLC circuit consisting of a 3.5 resistor, a 8.8 x 10-3 H inductor, and a 5.60 x 10-3 F capacitor. The circuit is driven by a rms emf of 210 V running at 60 Hz. a) What is the impedance of the circuit? V(i) =V, sinot b) Let the current at any instant in the circuit be I(C) = 1, sin(@t-). Find I. c) What is the phase angle between the generator voltage and the current?
Solve it as shown but use these values instead: An RLC series circuit has a voltage...
Solve it as shown but use these values instead: An RLC
series circuit has a voltage source given by E(t)=10 V, a
resistor of 175 Ω, an inductor of 5 H,and a capacitor of 0.01 F.
If the initial current is zero and the initial charge on the
capacitor is 8 C, determine the current in the circuit for
t>0.
An RLC series circuit has a voltage source given by E(t) = 20 V, a resistor of 140 2, an...
3. (35 pts) Consider a standard RLC circuit with a resistor R, inductor L and capacitor C all in ...
3. (35 pts) Consider a standard RLC circuit with a resistor R, inductor L and capacitor C all in series driven by a voltage source v(t). The voltage source gives pulses of 5 volts that last 1 msec every 10 msec, i.e. a square wave with period 10. We are interested in the output y(t) which is the current flowing through the circuit at time t. (a) Find a general expression for the frequency response H(jw) of this system (b)...
enes 240 1.doc Compatibility Made -Saved to this PC ict O Search View Help Mailings Review References Layout Proble...
enes 240 1.doc Compatibility Made -Saved to this PC ict O Search View Help Mailings Review References Layout Problem 1 A simple electric circuit consisting of a resistor, following figure. The charge on the capacitor q(t) capacitor, and function of time can inductor is depicted in the be computed a an as a as Switch o 1 -Rt(2L) Cos - t) 2L q(t)=goe Battery V Capacitor Inductor LC Resistor time, qo initial charge, R the resistance, L inductance, and C...
An RLC circuit contains in series a resistor R = 3 Ω, an inductor L =...
An RLC circuit contains in series a resistor R = 3 Ω, an inductor L = 1 H, and a capacitor C = 0.5 F. The current I(t) is provided by a source with emf E = 20cos(2t) Volts, where t is the time. Find the steady-state current Ip that develops after a long time (theoretically when t → ∞).
2. This problem is about an RLC circuit, which involves a resistor (of resistance R ohms),...
2. This problem is about an RLC circuit, which involves a resistor (of resistance R ohms), an inductor (of L henries), and a capacitor (of C farads). There is also a voltage source (such as a battery) providing E(t) volts at time t. 0 Switch When the switch is closed there is a current of I(t) amperes. With the help of Kirchhoff's laws one can derive an ODE for I = I(t): LI" + RI' + + I = E'(t)...
An oscillating RLC series circuit contains a 10.0 resistor, a 20 mH inductor and a 25...
An oscillating RLC series circuit contains a 10.0 resistor, a 20 mH inductor and a 25 nF capacitor. What is the frequency of the oscillations? Answer in Hz. BI y A - A - IX E - E o R I &x G o HTML Editore ZI x x: E T To 12pt - Pé v O words
Problem 1 An RLC circuit (as shown in page 79 in the textbook) has a resistor of Rohms, an inductor with an inductance of 2 henries, and a capacitor with a capacitance of 0.5 farads. A battery is connected to the circuit giving a voltage V(1) = 2 cos(31) in volts) where 1 is given in seconds. 1) Write the differential equation satisfied by the charge Q(1) (in Coulombs) on the capacitor at time t. Answer: ii) Let $R=1$. Use...
An RLC series circuit has a voltage source given by E(t)= 20 V, a resistor of 245 Q, an inductor of 7 H, and a capacitor of 0.05 F. If the initial current is zero and the initial charge on the capacitor is 9 C, determine the current in the circuit for t> 0. |(t) = (Type an exact answer, using radicals as needed.)
17. Consider a series RLC circuit consisting of a 3.5 resistor, a 8.8 x 10-3 H inductor, and a 5.60 x 10-3 F capacitor. The circuit is driven by a rms emf of 210 V running at 60 Hz. a) What is the impedance of the circuit? V(i) =V, sinot b) Let the current at any instant in the circuit be I(C) = 1, sin(@t-). Find I. c) What is the phase angle between the generator voltage and the current?
Solve it as shown but use these values instead: An RLC
series circuit has a voltage source given by E(t)=10 V, a
resistor of 175 Ω, an inductor of 5 H,and a capacitor of 0.01 F.
If the initial current is zero and the initial charge on the
capacitor is 8 C, determine the current in the circuit for
t>0.
An RLC series circuit has a voltage source given by E(t) = 20 V, a resistor of 140 2, an...
3. (35 pts) Consider a standard RLC circuit with a resistor R, inductor L and capacitor C all in series driven by a voltage source v(t). The voltage source gives pulses of 5 volts that last 1 msec every 10 msec, i.e. a square wave with period 10. We are interested in the output y(t) which is the current flowing through the circuit at time t. (a) Find a general expression for the frequency response H(jw) of this system (b)...
enes 240 1.doc Compatibility Made -Saved to this PC ict O Search View Help Mailings Review References Layout Problem 1 A simple electric circuit consisting of a resistor, following figure. The charge on the capacitor q(t) capacitor, and function of time can inductor is depicted in the be computed a an as a as Switch o 1 -Rt(2L) Cos - t) 2L q(t)=goe Battery V Capacitor Inductor LC Resistor time, qo initial charge, R the resistance, L inductance, and C...
2. This problem is about an RLC circuit, which involves a resistor (of resistance R ohms), an inductor (of L henries), and a capacitor (of C farads). There is also a voltage source (such as a battery) providing E(t) volts at time t. 0 Switch When the switch is closed there is a current of I(t) amperes. With the help of Kirchhoff's laws one can derive an ODE for I = I(t): LI" + RI' + + I = E'(t)...
An oscillating RLC series circuit contains a 10.0 resistor, a 20 mH inductor and a 25 nF capacitor. What is the frequency of the oscillations? Answer in Hz. BI y A - A - IX E - E o R I &x G o HTML Editore ZI x x: E T To 12pt - Pé v O words
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