ELECTRICITY FOR TRADES (LOOSELEAF)
3rd Edition
ISBN: 9781260437454
Author: Petruzella
Publisher: MCG
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Chapter 4.2, Problem 1RQ
Define electric power.
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Please solve part a, b and c
Also, find the impulse response g(t) for the system
Consider the lateral dynamics of a vectored thrust
aircraft as described in Example 3.12. Show that the dynamics can be described
using the following block diagram:
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r
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-mg
Σ
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ע
1
X
ms² + cs
Use this block diagram to compute the transfer functions from u₁ to 0 and x and
show that they satisfy
Нои
r
Js²
-
mgr
Js²'
Hau₁
Js2 (ms2+cs)
Consider the system
dx
ax+u.
dt
Compute the exponential response of the system and use this to derive the transfer
function from u to x. Show that when s = a, a pole of the transfer function, the
response to the exponential input u(t) = est is x(t) = eat x(0) + teat.
For solving the system with u = eat
eat you can't use the
transfer function because the denominator is zero. Try
using the convolution integral solution with initial
conditions set as x(t) =
eat x (0) + fo g(t − T)u(T)dT
-
g(t) is the impulse response of the system.
Chapter 4 Solutions
ELECTRICITY FOR TRADES (LOOSELEAF)
Ch. 4.1 - What is the practical unit of electric charge?Ch. 4.1 - Prob. 2RQCh. 4.1 - Prob. 3RQCh. 4.1 - Explain what a current flow of 1 ampere can be...Ch. 4.1 - Account for the fact that electric current travels...Ch. 4.1 - Prob. 6RQCh. 4.1 - Prob. 7RQCh. 4.1 - Prob. 8RQCh. 4.1 - Prob. 9RQCh. 4.1 - Prob. 10RQ
Ch. 4.1 - Prob. 11RQCh. 4.1 - Prob. 12RQCh. 4.1 - What is the cause and effect of resistance?Ch. 4.1 - When using an ohmmeter to measure resistance, what...Ch. 4.1 - Convert the following data: a. 12,000 A to kA b....Ch. 4.1 - Prob. 16RQCh. 4.2 - Define electric power.Ch. 4.2 - What is the basic unit used to measure electric...Ch. 4.2 - A toaster draws 8 amperes when connected to a...Ch. 4.2 - Prob. 4RQCh. 4.2 - Prob. 5RQCh. 4.2 - Prob. 6RQCh. 4.2 - Prob. 7RQCh. 4.2 - Compare a closed and an open electric circuit.Ch. 4.2 - Prob. 9RQCh. 4.2 - What does Ohms law tell us about current flow in a...Ch. 4.2 - Ohms law is applied to a circuit using what three...Ch. 4.2 - Prob. 12RQCh. 4.2 - Prob. 13RQCh. 4.2 - Prob. 14RQCh. 4.2 - Prob. 15RQCh. 4.2 - Prob. 16RQCh. 4.2 - Prob. 17RQCh. 4.2 - Prob. 18RQ
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- dny dn-1y dn-1u dn-24 +a1 + + Any = bi +b₂- + +bnu. dtn dtn-1 dtn-1 dtn-2 a) Let be a root of the characteristic equation 1 sn+a1sn- + +an = : 0. Show that if u(t) = 0, the differential equation has the solution y(t) = e\t. b) Let к be a zero of the polynomial b(s) = b₁s-1+b2sn−2+ Show that if the input is u(t) equation that is identically zero. = .. +bn. ekt, then there is a solution to the differentialarrow_forwarddny dn-1y dn-1u dn-24 +a1 + + Any = bi +b₂- + +bnu. dtn dtn-1 dtn-1 dtn-2 a) Let be a root of the characteristic equation 1 sn+a1sn- + +an = : 0. Show that if u(t) = 0, the differential equation has the solution y(t) = e\t. b) Let к be a zero of the polynomial b(s) = b₁s-1+b2sn−2+ Show that if the input is u(t) equation that is identically zero. = .. +bn. ekt, then there is a solution to the differentialarrow_forwardFor step a), use equations (2) to find the equation for the input impedance equations (2) are V1 = jwL1I1 + jwMI2 and V2 = jwMI1 + jwL2I2 equation for the input impedance: Z1 = V1/I1 = jwL1 + (wM)2/(jwL2 + ZL)arrow_forward
- L (a) Find currents i, and b₂ 2 2 (b) Find the dependent source voltage given as Find voltages V, and (c) V₂ 5i2 (d) For each circuit element in the circuit and the two Sources, state whether they are ABSORBING OF SUPPYING Power and how much power is absorbed or Supplied. + V - 5A +lov- C/E₂ + C/E4 Vz い 5+2 + 1A C/E 5V + シュ 2A + 10Varrow_forward4) A circuit is given as shown. (a) Find currents i, and i2. (b) Find the dependent source voltage given as 5i2 (c) Find voltages V, and V₂ 2 (d) For each circuit element in the circuit and the two Sources, State whether they are ABSORBING, OF SUPPLYING POWER and how much power is absorbed or supplied. + 10V - + 4 CIES C/E + V L₁ 4 1A Y T5A GE -5V + CIES iz 2A 2 52 2 +arrow_forwardDetermine the eigenvalues and eigenvectors of using A = ( 1 -3 3 3 -5 3 6-64 Gauss eliminationarrow_forward
- 5) A circuit is given as shown (a) Find currents i₁, L2 and is . (6) Find voltages V, V2, V3 and Vy (c) For each circuit element in the circuit and the two sources, state whether they are ABSORBING SUPPLYING POWER and how much power is absorbed or supplied. + V₁ CIE, 1A +2V- C/E AS 1A + - 4A Vy+ CES CIES 2A4 + IOV +- + + V2 1 434 12V GVarrow_forwardDetermine the eigenvalues and eigenvectors of using Gauss A = -3 322 20 132 -3° 10 -2 4 eliminationarrow_forwardDetermine the eigenvalues and eigenvectors of 1-3 3 A = 3-53 6-64arrow_forward
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