Electrical Motor Controls for Integrated Systems Workbook
5th Edition
ISBN: 9780826912275
Author: Gary Rockis;Glen A. Mazur
Publisher: American Technical Publishers
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Chapter 6.6, Problem 2CP
To determine
To explain: Whether an NO or NC contacts are useful to control the compressor motor starter, in case of a pressure switch used for set pressure maintenance.
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a) Let be a root of the characteristic equation
1
sn+a1sn-
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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.
=
..
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ekt, then there is a solution to the differential
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 differential
For 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)
Chapter 6 Solutions
Electrical Motor Controls for Integrated Systems Workbook
Ch. 6.1 - Prob. 1CPCh. 6.1 - Prob. 2CPCh. 6.1 - Prob. 3CPCh. 6.1 - Prob. 4CPCh. 6.2 - Prob. 1CPCh. 6.2 - Prob. 2CPCh. 6.2 - Prob. 3CPCh. 6.2 - Prob. 4CPCh. 6.3 - Prob. 1CPCh. 6.3 - Prob. 2CP
Ch. 6.4 - Prob. 1CPCh. 6.4 - Prob. 2CPCh. 6.4 - Prob. 3CPCh. 6.4 - Prob. 4CPCh. 6.5 - Prob. 1CPCh. 6.5 - Prob. 2CPCh. 6.6 - Prob. 1CPCh. 6.6 - Prob. 2CPCh. 6.7 - Prob. 1CPCh. 6.7 - Prob. 2CPCh. 6.8 - Prob. 1CPCh. 6.8 - Prob. 2CPCh. 6.9 - Prob. 1CPCh. 6.9 - Prob. 2CPCh. 6.10 - Prob. 1CPCh. 6.10 - Prob. 2CPCh. 6.10 - Prob. 3CPCh. 6.10 - Prob. 4CP
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- Consider the following transformer circuit assuming an ideal transformer. In this circuit the signal generator will provide a 10-Volt peak-to-peak sinusoidal signal at a frequency of 1.0 kHz. Assume that L₁ = 0.65 H, L2 = 0.00492 H (=4.92 mH) and that the coupling constant = 0.99925. + VG1( R1 1k N1:N2 11.5:1 12 V1 N1 N2 V2 R2 8.2 1) Find the following using the theory presented in the prelab reading: a) Start with Equations (2) of the prelab reading and show that the input impedance to an ideal transformer is given by the equation for Z1 (=V1/11) in Equations (4) of the prelab reading. Equations (2) are: V₁ = joLI₁ + jœMI₂ and V₂ = j@MI₁ +j@L₂I₂ The equation for the input impedance is: Z₁ = 1½ = jwL₁ + (WM)² jwL₂+ZL b) Assuming that Z is a real impedance, find the equations for the real and imaginary parts of Z1. c) Use your equations from part (b) to calculate the value of the input impedance (Z) at an operating frequency of 200 Hz. Assume that the load impedance is 8.2 Ohms…arrow_forwardUse: R1 = 1.5K, R2 = 5K, R3 = 1K, R4 = 2K, R5 = 2K, R6 = 1K. 40%: Find the value for Vs (in V) such as IR2 = 1mA. 40%: Find the voltage VD. 20%: simulate the circuit in Falstad (attach the link). A 1,5k B R1 Vs L 5k P2 R2 R6 E C R3 С IR2= 1mA D H4 R4 2k 2k R5arrow_forwardThe joint pdf of random variables X=1, 2 and Y=1,2,3 is Y P(X,Y)= X [0.105 0.2 0.15] 0.151 0.18arrow_forward
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