Given that damped frequency is β = 4 rad/sec and attenuation constant is α = 3 volts/sec, determine the resonant frequency ω0 in radians/sec. Round your answer to the nearest integer.
Given that damped frequency is β = 4 rad/sec and attenuation constant is α = 3 volts/sec, determine...
The resonant frequency (ω0) of series RLC circuit is 44.721 kilo-rad/sec and the damped oscillation frequency, (β) of the same circuit is 33.166 kilo-rad/sec. Determine the value of resistor used in this circuit. The inductor used has a value of 50mH and capacitor used is 0.01 µF. Express answer in kilo-ohms. Round to the nearest integer.
Given the second-order transient response of a series RLC circuit (shown below), determine the attenuation constant 'α' using the plot. Express your answer in Volts/sec. Round your answer to the nearest integer. Given the second-order transient response of a series RLC circuit (shown below), determine the attenuation constant 'a' using the plot. Express your answer in Volts/sec. Round your answer to the nearest integer 5 4 Ae at cos(Bt + p) + C 3 ww 2 -2 The vertical scale...
8. A second order lag process has a resonant frequency, (o, of 10 rad/sec, a damping ratio of 0.1, and a steady state gain, G, of 1. Use the Bode diagram in figure given to determine the gain, m, in decibel, and the phase angle B, in degrees for the following values of the radiant frequency. Convert your decibel gain values, m, to ordinary gain values, g. (a) 0.1 rad/s, (b) 10 rad/s. 20 10 ζ-0.5 2.0 10 () ζ-20.0...
Link OA is given a constant clockwise angular velocity ω = 1.6 rad/sec as indicated. Determine the acceleration a of point C for the position θ = 37° if b = 6 in. The acceleration is positive if to the right, negative if to the left. Link OA is given a constant clockwise angular velocity w = 1.6 rad/sec as indicated. Determine the acceleration a of point C for the position @ = 37° if b = 6 in. The...
(a) For the circuit of Figure 4, assuming a sinusoidal is(t) (0) Prove that the resonant frequeney is given by o- (3 marks) LC (ii) If the total admittance at resonance is 20 ms (seen by the source) with resonant frequency of wo 5000 rad/s and quality factor of Q-10, calculate the values of R L, C, the bandwidth and half-power frequencies in Hertz. (4 marks) VG and hence show (iii) Derive an expression for the driving point impedance Z(jø)...
3. system with a time constant τ= 0.004 sec. Determine (and indicate on plot) the frequency range over which the dynamic error δ(a) remains less than 10% Determine and plot the frequency response (that is, M(a) and φ(a)) of a 1st Order
Exercise 3 (15pts) A control system is given by the second order transfer function bellow: Natural frequency of oscillations Damped ratio Determine the range of values of K that render the system underdamped Pick one of those values of K (of your choice) and determine 1. 2. 3. 4. a. Percentage overshoot b. Settling time c. Peak time Exercise 3 (15pts) A control system is given by the second order transfer function bellow: Natural frequency of oscillations Damped ratio Determine...
need to answer problem 4 but this requires info from 2 and 3 2. Determine all pairs (α. β) for which the problem x solution x. x (0) α. x(1) β has a (Continuation) Repeat the preceding problem for x"--x. x (0) β α, x(7) (Continuation) Give an example of a two-point boundary-value problem (p. 572) of type (3), for which there is more than one solution. Hint: Consider the preceding problem. 2. Determine all pairs (α. β) for which...
LetX-Gamma(α = 2, β = 4), Y-Gamma(α = 3, β = 4), X & Y are independent, Z,- , Z,-X + Y. X+Y a) (3 pts) State the joint pdf ofX and Y. Simplify the expression, clearing all Г's. b) (9 pts) Find the joint pdf of Zi and Z2, using the two variable transformation method. In addition, clearly write the support for this joint pdf. When done, your answer should include the expression c) (5 pts) You should see...
2. LetX-Gamma(α = 2, β = 4), Y-Gam ma (α = 3, β = 4), X & Y are independent, Z1 = , Z,-X + Y a) (3 pts) State the joint pdf ofX and Y. Simplify the expression, clearing all Г's. b) (9 pts) Find the joint pdf of Zi and Zz, using the two variable transformation method. In addition, clearly write the support for this joint pdf. When done, your answer should include the expression (5 pts) You...