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use variation of parameters and substituion to find solutions
to word problems
use technique decribed on...
Use variation of parameters and substitution to find solutions to word problems use technique des...
use variation of parameters and substitution to find solutions
to word problems
use technique described on page
please complete questions circled in the page
Sping T) RLC current : Li dVc dt dt 6. F gram mass on a spring with spring constant k 10 N/m, and resistance of 8 times the velocity, suppose there is an applied force of f(t) -32sin(t) N. (a) Solve for the position of the spring (t) if r is initially at 5 meters beyond...
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 → ∞).
R t = i(t) C 2011P E e p gP a P9.09 10ed The voltage applied...
R t = i(t) C 2011P E e p gP a P9.09 10ed The voltage applied to this circuit at t 0 (when the switch closes) is v (t) = 75 cos (4,000t - 60°) Volts Also given that R = 400 2 (0hm) and L=75 mH (milli Henry) The initial inductor current is zero for t< 0 The textbook gives you the total response equation as: )_ ?(0-¢)so R2+(w L) Cos(wt+¢-e) -V V m i(t)=itransient(t)+isteady.state(t)=R2 +(wL m - ㅎCOS...
1. RLC Circuits Revisited. The first example of a RLC circuit illustrates the use of circuit...
1. RLC Circuits Revisited. The first example of a RLC circuit illustrates the use of circuit elements in the s domain to represent initial conditions and a forced response. Next an example of sinusoidal excitation will follow where the transient response and steady state response are combined into one response waveform.. Transient RLC Circuit with Initial Conditions. Consider the RLC circuit below in Figure 7.14 which has two DC sources (Vco and V) applied before and after a switch is...
Use MATLAB to write a function that takes inputs R, L, C, TO, Tf, DeltaT and...
Use MATLAB to write a function that takes inputs R, L, C, TO, Tf, DeltaT and f and produces as output the charge on the capacitor in a driven RLC series circuit where the input voltage source is v(t) = cos(21 ft). Here f is the frequency of the voltage source in Hz. This function returns the inverse Laplace Transform of (1) L (s2 + 2) ($2 + 2as +B) where a = # and B = Lc. Note that...
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)...
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...
Find the Steady State Voltage and Current Values. Develop the equation for i(t) , the current thr...
Find the Steady State Voltage and Current
Values.
Develop the equation for i(t) , the current through
the inductor and Vout(t).
I need help, I don't know if my calculations are correct, I
found the neper frequency to be: a=439.109 rad/sec and resonant
frequency to be Wo=14586.5 rad/sec.
This is a parallel step response RLC circuit
The circuit is underdamped.
Please show all work clearly so that I can understand the
process.
Vout(t) is the voltage across R2 (which is...
PROBLEM 5. TUNING A CIRCUIT: PRACTICAL RESONANCE. Consider a forced RLC circuit with L-1 (H), R-1...
PROBLEM 5. TUNING A CIRCUIT: PRACTICAL RESONANCE. Consider a forced RLC circuit with L-1 (H), R-10 (12) and C 丽0 (f). Suppose an alternating current supplies a electromotive force Et)100 coswt. The equation modeling the charge Q(t) on the capacitor is 650 Q"(t) 10Q650Q(t) 100 coswt. a. Is the damping over-, under- or critical? Find the form of the general solution. Identify the transient and steady-state parts of the solution. b. Find the amplitude C(w) of the steady-state piece (here...
In an RLC circuit, ? = 10 Ω, ? = 0.5 ??, and ? = 6.0...
In an RLC circuit, ? = 10 Ω, ? = 0.5 ??, and ? = 6.0 ??, the
current in the inductor is ?? = 12 ? sin(?? + 0.2). The circuit
operates at half of the resonance frequency.
a) Find the current in the resistor, capacitor and for the
entire circuit.
b) Find the voltage in the resistor, capacitor, and
inductor.
c) Find the emf of the AC source.
Will give great review for good answer.
2) In an...
use variation of parameters and substitution to find solutions
to word problems
use technique described on page
please complete questions circled in the page
Sping T) RLC current : Li dVc dt dt 6. F gram mass on a spring with spring constant k 10 N/m, and resistance of 8 times the velocity, suppose there is an applied force of f(t) -32sin(t) N. (a) Solve for the position of the spring (t) if r is initially at 5 meters beyond...
R t = i(t) C 2011P E e p gP a P9.09 10ed The voltage applied to this circuit at t 0 (when the switch closes) is v (t) = 75 cos (4,000t - 60°) Volts Also given that R = 400 2 (0hm) and L=75 mH (milli Henry) The initial inductor current is zero for t< 0 The textbook gives you the total response equation as: )_ ?(0-¢)so R2+(w L) Cos(wt+¢-e) -V V m i(t)=itransient(t)+isteady.state(t)=R2 +(wL m - ㅎCOS...
1. RLC Circuits Revisited. The first example of a RLC circuit illustrates the use of circuit elements in the s domain to represent initial conditions and a forced response. Next an example of sinusoidal excitation will follow where the transient response and steady state response are combined into one response waveform.. Transient RLC Circuit with Initial Conditions. Consider the RLC circuit below in Figure 7.14 which has two DC sources (Vco and V) applied before and after a switch is...
Use MATLAB to write a function that takes inputs R, L, C, TO, Tf, DeltaT and f and produces as output the charge on the capacitor in a driven RLC series circuit where the input voltage source is v(t) = cos(21 ft). Here f is the frequency of the voltage source in Hz. This function returns the inverse Laplace Transform of (1) L (s2 + 2) ($2 + 2as +B) where a = # and B = Lc. Note that...
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)...
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...
Find the Steady State Voltage and Current
Values.
Develop the equation for i(t) , the current through
the inductor and Vout(t).
I need help, I don't know if my calculations are correct, I
found the neper frequency to be: a=439.109 rad/sec and resonant
frequency to be Wo=14586.5 rad/sec.
This is a parallel step response RLC circuit
The circuit is underdamped.
Please show all work clearly so that I can understand the
process.
Vout(t) is the voltage across R2 (which is...
PROBLEM 5. TUNING A CIRCUIT: PRACTICAL RESONANCE. Consider a forced RLC circuit with L-1 (H), R-10 (12) and C 丽0 (f). Suppose an alternating current supplies a electromotive force Et)100 coswt. The equation modeling the charge Q(t) on the capacitor is 650 Q"(t) 10Q650Q(t) 100 coswt. a. Is the damping over-, under- or critical? Find the form of the general solution. Identify the transient and steady-state parts of the solution. b. Find the amplitude C(w) of the steady-state piece (here...
In an RLC circuit, ? = 10 Ω, ? = 0.5 ??, and ? = 6.0 ??, the
current in the inductor is ?? = 12 ? sin(?? + 0.2). The circuit
operates at half of the resonance frequency.
a) Find the current in the resistor, capacitor and for the
entire circuit.
b) Find the voltage in the resistor, capacitor, and
inductor.
c) Find the emf of the AC source.
Will give great review for good answer.
2) In an...
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