Electric Motor Control
10th Edition
ISBN: 9781305177611
Author: Herman
Publisher: Cengage
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Chapter 7, Problem 5SQ
Why does the coil (CR) in Figure 7–19 drop out when the thermostat touches the open position?
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a) Let be a root of the characteristic equation
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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.
=
..
+bn.
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 7 Solutions
Electric Motor Control
Ch. 7 - What are control relays?Ch. 7 - What are typical uses for control relays?Ch. 7 - What are the advantages of a mechanically held...Ch. 7 - Why are mechanically held relays energy-saving...Ch. 7 - Why does the coil (CR) in Figure 719 drop out when...Ch. 7 - Which device is used to connect the load to the...Ch. 7 - Which device is used to connect the load to the...Ch. 7 - What is optoisolation?Ch. 7 - What type of device is used to suppress voltage...
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- 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
- 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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