EBK FUNDAMENTALS OF APPLIED ELECTROMAGN
7th Edition
ISBN: 8220100663659
Author: ULABY
Publisher: PEARSON
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Chapter 3.1, Problem 3E
To determine
The angle between
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For the circuit shown, let Is = 5, R₁-40, R2-30, R3-100, R4-80, R5-40, R6-30, R7- 10, and Rg= 100, and
find:
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VX
R3
R7
R8
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• The voltage Vx"
(V)
⚫ The power absorbed by the output resistor Rg: Power=
{Hint: you can use current divider (CD) or any other method.}
(W)
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For the circuit shown, let V₁ = 26, R1-30, R₂-40, R3-50, R4-20, R5-100, R6-10, and find:
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R5
R3
V
(+)
R₁
R₂
R6
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• The voltage v
(V)
• The power delivered by the power source Vs: Power=
{Hint: you can use voltage divider (VD) or any other method.}
(W)
In the circuit shown, let R₁-7, R₂-12, R3-24, R4-2, V₁ =17, V2 -68, and V3-51, to calculate the power
delivered (or absorbed) by the circuit inside the box, as follows:
{NOTE: On Multiple Choice Questions, like this problem, you have only one attempt }
1. The current I is equal to (choose the closed values in amperes)
-0.791
0
-0.756
3.022
0.756
(A)
-3.022
0.791
2. The power delivered (or absorbed) (choose the closest value in watts) (W)
373.345
0
-373.345
-52.234
52.234
65.079
O-24.833
R₁
V₂
R3
R₂
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V3
V₁
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R4
Chapter 3 Solutions
EBK FUNDAMENTALS OF APPLIED ELECTROMAGN
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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- Determine X(w) for the given function shown in Figure (1) by applying the differentiation property of the Fourier Transform. x(t) Figure (1) -2 -1 1 2arrow_forwardFor a enahnced-type NMOS transistor with V₁=+1V and kn'(w/L)= 2 mA/V2, find the minimum VDs required to operate in the saturation region when VGS=+2 V. What is the corresponding value of ID?arrow_forward. Using Properties to find the Z-Transform including the region of convergence for x(n) = n (2)" cos(0.2π(n − 2))u(n − 1) - -arrow_forward
- J VDD M₁ In the circuit of figure shown below, determine the region of operation of M₁as Vigoes from VDD.to zero. (You may want to draw a plot or just explain by the range, remember the transistor is a PMOS) Assume VDD = 2.5 V and | VTH | = 0.4V. 5 + 1 Varrow_forwardWe wish to design the circuit of the figure shown below for a drain current of 1 mA (l=1mA). If W/L = 18/0.18, compute R1 and R2 such that the input impedance is at least 20 k. R₁ VDD = 1.8 V 500 Ω M₁ R₂arrow_forwardIn the figure shown below, what is the minimum allowable value of VDD if M₁ must not enter the triode region? Assume λ=0 (use ideal current formula that is not dependent on VDs) 1 V + RD VDD = 1.8 V T M 500 Ω 1 W 10 L = 0.18arrow_forward
- Calculate the total charge stored in the channel of an NMOS device if Cox=10fF/um², w=10 µm, L=0.1 μm, and VGS-VTH=1 V. Assume VDs=0. (means there is no movement of electrons, all of them are piled up in the channel, we want to calculate the magnitude of electron charge |Q|)arrow_forwardThe first photo is question 1arrow_forwarda) Write down the order of the transfer function in each of the following cases. Assume that there are no terms in the numerator that will cancel terms in the denominator. 10 H(s) H(s) = s+1 5 (s+3)(s—. 4) 4s1 5 H(s) = H(s) - 83 +1 s27s 6 H(s) H(s) = s(s²+4s) 2s27s+1 84583882 +3s+2 H(s) 83 +8 s+1 = H(s) s34s26s+5 s52s4383 + 4s2 +5s +6arrow_forward
- Question 5 ( A system is found to have zeros of -3 and poles of 4, and -2. The system also has a gain of 4. Write out the corresponding transfer function. Question 6. A system has a transfer function of What is the gain, K, of the system? Question 7 ( A system has a transfer function of H(s) - 4 8+5 H(s): = 4 8 +5 A step input of size 3 is applied to the system at time zero (Since we're dealing with transfer functions, x(0) is also zero at time zero). a) [10] What is the response ✗(s) of the system? b) [10] Derive the time dependent solution, x(t), of this responsearrow_forwardNote: You might want to do the last question first because the last question asks you to write some python code to calculate the zeros and poles. You could use that code here to help you (except the first problem which you should be able to do by inspection alone) Find the poles and zeros for each of the following transfer functions 1. S+3 H(s) = 8 5 2. H(s): = s238 +1 s2 +48 +3 3. s(s+4) H(s) s3+2s23s 4. 82-586 H(s) = - 8382-68 5. H(s): = s2 +48 +3 s45836s2 - 6arrow_forwardWrite python program to plot the zeros and poles if a user provides the coefficients for the numerator and denominator of the transfer function. Since the zeros and poles can be complex, this plot is essentially and argand diagram, where the x axis is the real component and the y axis the imaginary component of a given zero or pole. Create a method called plot-poles zeros(num, den) which takes two lists containing the coefficients. Here is an example and the resulting plot. num [1, 3, 7] # yields zeros at -1.5 +/- 2.17945j den = [1, 4, 5, 3] # yields poles at -2.46557, -0.7672143 +/- 0.7925519j plot_poles_zeros(num, den) Imaginary Page 2 Pole-Zero Plot 3 Zeros × Poles 2 1 -2 1 * Real When you write your code you are only allowed to use the packages numpy and matplotlib. Make sure you label the axes, provide a legend and give a title to your plot (See the example plot). Hint: numpy has a method called roots. When given a list of numbers corresponding to the coefficients of a polynomial,…arrow_forward
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