EBK FUNDAMENTALS OF APPLIED ELECTROMAGN
7th Edition
ISBN: 8220100663659
Author: ULABY
Publisher: PEARSON
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Chapter 3.5, Problem 14E
Given
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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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- 3-4) 3.4-2 Signals g₁(t) = 104П(104) and g2(t) = 8(t) are applied at the inputs of the ideal low-pass filters H₁(f)=(f/20,000) and H2(f) = П(f/10,000) (Fig. P3.4-2). The outputs y₁ (t) and y2(t) of these filters are multiplied to obtain the signal y(t) = y1 (1)y2(t). (a) Sketch G1(f) and G2(f). (b) Sketch H₁(f) and H₂(f). (c) Sketch Y₁ (f) and Y2(f). (d) Find the bandwidths of y₁ (t), y2(t), and y(t). 8₁ (1) H₁(f) y, (t) y(t) = y₁ (1) y2 (1) 82(1) ½⁄2 (1) H₂(f)arrow_forwardsolve the differential equation y'' -2y'-3y=x³e^5x cos(3x) Don't use AI,I need it handwrittenarrow_forward3-3) Similar to Lathi & Ding prob. 3.3-7. The signals in the figure below are modulated signals with carrier cos(5t). Find the Fourier transforms of these signals using the appropriate properties of the Fourier transform and text Table 3.1. The sketch the magnitude and phase spectra for figure parts (a) and (b). Hint: these functions can be expressed in the form g(t) cos(2лfot) (a) 1 1 2π www. σπ (b) (c) όπarrow_forward
- 3-1) Similar to Lathi & Ding prob. 3.1-1. Use direct integration to find the Fourier transforms of the signals shown below. a) g₁(t) = II(t − 2) + 2 exp (−3|t|) b) g(t) = d(t+2)+3e¯u (t − 2)arrow_forward3-2) Lathi & Ding prob. 3.1-5. From the definition in eq. 3.1b, find the inverse Fourier transforms of the spectra in the figure below. G(f) COS лf 10 (a) G(f) 1 -B B (b)arrow_forwardFundamentals of Energy Systems HW 4 Q2arrow_forward
- Fundamentals of Energy Systems HW 4 Q4arrow_forwardFundamentals of Energy Systems HW 4 Q6arrow_forwardConstruct a battery pack to deliver 360V and 450-mile range for a vehicle that consumes 200 Wh/mile, from prismatic cells with 25Ah and 3.6 V. Physical dimensions of the cell are 0.5 cm thickness, 20 cm width and 40 cm length. a) Report configuration of the battery pack. 10-points b) Resistance of each cell is 0.05 Ohm, calculate the total internal resistance of the battery pack. 10-points c) Calculate the voltage drop during discharge when the battery is discharged at 100A. 10-points d) Calculate the amount of anode and cathode to build a prismatic cell with 25Ah capacity. Assume the cell chemistry as: Si anode and [Li(Ni1/3Co1/3Mn1/3)O2] cathode. Atomic weight of elements: Li=7, Si = 28, Ni=58, Co=59, Mn=55, O=16, 10-points e) Calculate the theoretical specific energy (Wh/kg) and practical energy density (Wh/liter) of the battery pack. 10-points f) Calculate the thickness on anode and cathode coating assuming each electrode has 30%…arrow_forward
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