Fundamentals of Applied Electromagnetics (7th Edition)
7th Edition
ISBN: 9780133356984
Author: ULABY
Publisher: PEARSON
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Chapter 3.3, Problem 8CQ
To determine
The reason for the fact “the base
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Can the expert solve an Integral
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⑥M-1
大
80*10万
1012 es dw
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80x10³
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Q1:A) Draw the directional control of DC motor using a relay.
Switch
controlled
by PLC
+V
Ov
(a)
Motor
OV
(b)
Motor
10
B) Define the encoder with mention its types.
The term encoder is used for a device that provides a digital output as a result of angular or linear
displacement.
incremental encoder 2
6
absolute encoder
2
10
Q2:
A) Suppose that PLC connected to three pushbutton switches as shown in this illustration:
4
2000000
0000
000000
0000
Draw a Ladder Diagram program for PLC to turn the lamp ON when the switch statuses be:
Switch A = pressed, Switch B = pressed, Switch C = pressed
1:0
I:0
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0:0
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Example2:-
8. = e.A nia +2.1 =
Find the maximum steady-state power capability of a system consisting of a
generator equivalent reactance of 0.4pu connected to an infinite bus through a
series reactance of 1.0 p.u. The terminal voltage of the generator is held at1.10 p.u.
and the voltage of the infinite bus is 1.0 p.u.
Chapter 3 Solutions
Fundamentals of Applied Electromagnetics (7th Edition)
Ch. 3.1 - When are two vectors equal and when are they...Ch. 3.1 - Prob. 2CQCh. 3.1 - If AB = 0, what is AB?Ch. 3.1 - If AB = 0, what is AB?Ch. 3.1 - Is A(BC) a vector triple product?Ch. 3.1 - If AB = AC, does it follow that B = C?Ch. 3.1 - Find the distance vector between P1 = (1, 2, 3)...Ch. 3.1 - Find the angle AB between vectors A and B of...Ch. 3.1 - Prob. 3ECh. 3.1 - Vectors A and B lie in the y-z plane and both have...
Ch. 3.1 - If AB=AC, does it follow that B = C?Ch. 3.2 - A circular cylinder of radius r = 5 cm is...Ch. 3.3 - Why do we use more than one coordinate system?Ch. 3.3 - Prob. 8CQCh. 3.3 - Prob. 9CQCh. 3.3 - How is the position vector of a point in...Ch. 3.3 - Prob. 7ECh. 3.3 - Prob. 8ECh. 3.4 - Prob. 9ECh. 3.4 - Find the directional derivative of V=rz2cos2 along...Ch. 3.4 - Prob. 11ECh. 3.4 - Prob. 12ECh. 3.5 - Given A=e2y(xsin2x+ycos2x), find A.Ch. 3.5 - Given A=rrcos+rsin+z3z , find A at (2,0, 3).Ch. 3.5 - If E=RAR in spherical coordinates, calculate the...Ch. 3.5 - Verify the divergence theorem by calculating the...Ch. 3.5 - Prob. 17ECh. 3.6 - Find A at (2, 0, 3) in cylindrical coordinates for...Ch. 3.6 - Find A at (3, /6, 0) in spherical coordinates for...Ch. 3.7 - What do the magnitude and direction of the...Ch. 3.7 - Prob. 12CQCh. 3.7 - Prob. 13CQCh. 3.7 - Prob. 14CQCh. 3.7 - What is the meaning of the transformation provided...Ch. 3.7 - Prob. 16CQCh. 3.7 - Prob. 17CQCh. 3.7 - When is a vector field conservative?Ch. 3 - Prob. 1PCh. 3 - Given vectors A=x2y3+z, B=x2y+z3, and C=x4+y2+z2,...Ch. 3 - Prob. 3PCh. 3 - Prob. 4PCh. 3 - Given vectors A=x+y2z3, B=x2y4, and C=y2z4, find...Ch. 3 - Given vectors A=x2y+z3 and B=x3z2, find a vector C...Ch. 3 - Given A=x(x+2y)y(y+3z)+z(3xy), determine a unit...Ch. 3 - By expansion in Cartesian coordinates, prove: (a)...Ch. 3 - Find an expression for the unit vector directed...Ch. 3 - Prob. 10PCh. 3 - Prob. 11PCh. 3 - Prob. 12PCh. 3 - A given line is described by x+2y=4. Vector A...Ch. 3 - Prob. 14PCh. 3 - Prob. 15PCh. 3 - Given B=x(z3y)+y(2x3z)z(x+y), find a unit vector...Ch. 3 - Find a vector G whose magnitude is 4 and whose...Ch. 3 - A given line is described by the equation: y=x1....Ch. 3 - Vector field E is given by E=R5Rcos12Rsincos+3sin....Ch. 3 - Prob. 20PCh. 3 - Prob. 21PCh. 3 - Prob. 22PCh. 3 - Prob. 23PCh. 3 - Prob. 24PCh. 3 - Use the appropriate expression for the...Ch. 3 - Prob. 26PCh. 3 - A section of a sphere is described by 0 R 2, 0 ...Ch. 3 - A vector field is given in cylindrical coordinates...Ch. 3 - At a given point in space, vectors A and B are...Ch. 3 - Given vectors...Ch. 3 - Prob. 31PCh. 3 - Prob. 32PCh. 3 - Transform the vector A=Rsin2cos+cos2sin into...Ch. 3 - Transform the following vectors into cylindrical...Ch. 3 - Transform the following vectors into spherical...Ch. 3 - Find the gradient of the following scalar...Ch. 3 - For each of the following scalar fields, obtain an...Ch. 3 - The gradient of a scalar function T is given by...Ch. 3 - Prob. 39PCh. 3 - For the scalar function V = xy2 z2, determine its...Ch. 3 - Evaluate the line integral of E=xxyy along the...Ch. 3 - Prob. 42PCh. 3 - Prob. 43PCh. 3 - Each of the following vector fields is displayed...Ch. 3 - Prob. 45PCh. 3 - For the vector field E=xxzyyz2zxy, verify the...Ch. 3 - For the vector field E=r10erz3z, verify the...Ch. 3 - A vector field D=rr3 exists in the region between...Ch. 3 - For the vector field D=R3R2, evaluate both sides...Ch. 3 - For the vector field E=xxyy(x2+2y2), calculate (a)...Ch. 3 - Repeat Problem 3.50 for the contour shown in Fig....Ch. 3 - Verify Stokess theorem for the vector field...Ch. 3 - Prob. 53PCh. 3 - Prob. 54PCh. 3 - Verify Stokess theorem for the vector field B = (r...Ch. 3 - Prob. 56PCh. 3 - Prob. 57PCh. 3 - Find the Laplacian of the following scalar...
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- B) A 60-Hz generator is supplying 60% of P max to an infinite bus through a reactive network. A fault occurs which increases the reactance of the network between the generator internal voltage and the infinite bus by 400%. When the fault is cleared, the maximum power that can be delivered is 80% of the original maximum value. Determine the critical clearing angle for the condition described.arrow_forwardIn the circuit shown, let Vs-9, R₁-8, R2-2, and R3-4. Use Nodal analysis to determine the current lo. In particular find: V2= 10= A The relative tolerance for this problem is 5 %. R₁ V₁ + ww R₂ Vs V₂ 21 x R3arrow_forward1. Choose all nodes that must be included, if any, to construct the supernode for Nodal analysis. OV1, V3 OV1, V2 ○ V2, V3 OV1, V2, V4 OV1, V2, V3 O V2, V3, V4 2. Write KCL equation (Nodal equation) at super-node. Write your expression in terms of node voltages V1, V2, V3 and V4 and of the form (G11 V1+G12 V2+G13 V3+G14 V4 = 11), then enter the corresponding values: At super-node KCL: 1/Q G11 1/0 G12 1/Ω G13 1/Q G14 A 3. Use the above equation, the circuit and and super-node inner expression to calculate V3 and then lo : V3= V 10 = R3 Vst + A V₁ + VS2 V₂ V3 w W R₁ R₂ R4 ww R5 V4 V$3arrow_forward
- Enter the matrix values (numerical) to solve for voltages at nodes v1, and v2, for the circuit shown, using Nodal equations. In the matrix, row 1, and row 2, correspond to node v1, and node v2 current expressions, respectively. Let Is1=14, Is2=7, R₁=5, R₂-8, R3=2, and R4-5. [G11 G12] [Vi₁ The matrix values are shown here: = G21 G22 [V2] [41] [12] {Hint: As discussed in class and to avoid sign errors, assume nodal currents are locally defined at each node (leaving) and use node labeling as indicated in the circuit. } The relative tolerance for this problem is 5%. VI R2 ww Isl 12 NODE v1 G11 G12 RI 1/Q 1/0 A 4= NODE v2 G21- 1/Q G22 1/0 12 W A === www R3 R4 www Use Cramer's rule (matrix), substitution, or any other method to calculate the voltages: v1 = V v2= V Is2arrow_forwardOnly expert should attemptarrow_forwardFor the circuit shown below, let l₁ = 9, 1₂ = 14, 13= 12, R₁ = 3, R₂ = 8, and R3 = 5. Use nodal equations to determine V1, V2 and I, as follows: • Consider Node 1, obtain a nodal equation in terms of V₁ and V₂ voltages. Simplify your equation to the format 1V1 + b,V₂ = c, then enter the corresponding values of coefficients b₁ and c₁ 1. b₁ =( C₁ = • Now consider Node 2, obtain a second nodal equation in terms of V₁ and V2 voltages. Simplify your equation to the format -1V₁+b2V2=c2 then enter the corresponding values of coefficients b₂ and c₂ 2. (b₂ = value.) ,၄၇ = - 3. Use (1) and (2) to determine V₂ = 4. Determine V₁ 5. Determine | = i 12 V₁ R1 20 www R2 ww I The relative tolerance for this problem is 5%. R3 This is not a decimal or integer www i3arrow_forward
- For the circuit shown, let V1 = 19 V, Vs2 = 76 V, R₁ = 9, R2 = 9, and R3 = 7. Use Nodal analysis to determine the voltage V2 and the current lo, choose the closet values: V2- 4.788 10 = ○ 2.28 11.978 17.761 35.522 23.957 -9.146 8.32 10.173 A O-7.435 O-5.783 10.531 V sl ་ ་ ་ ན ་་་ ་ ་ ་ ་ ་ ་ ་ ་ +1 ww R₁ R₂ ww R3 Io +1 VS2arrow_forwardNO AI PLEASEarrow_forwardNO AI PLEASEarrow_forward
- Problem 4 Consider the following system. In the figure, y(t) denotes the displacement of the mass and u(t) denotes the force applied to the mass. b1 u(t) y(t) + b2 M 0000 0000 K1 K2 a) Find the differential equation model of the system. b) Find the state-space model for the system. Write x, A, B, C and D clearly in your answer.arrow_forwardNO AI PLEASEarrow_forwardNot use ai pleasearrow_forward
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