The magnetic field intensity is given in a certain region of space as
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Chapter 7 Solutions
Engineering Electromagnetics
- HW_2.pdf HW_2)Solve the following questions: QI) Prove that the curl of the gradient of any scalar is zero. Q2) In your own words, explain the main differences between the electric potential and the scalar magnetic potential. Q3) Determine the vector magnetic potential at P(0.4,0.3,0)in the field of 8A filamentary current directed inward from infinity to the origin on the positive x-axis „and then outward to infinity along the y-axis as shown in figure. Q4) The magnetic field intensity is given in a certain region of space as H=*+ 29a. +a. A/m. (a) Find V × H. (b) Find J. (c) Use J to find the total cúrrent passing through the surface z = 4, lgxs2, 3 2m, J = 8ja, A/m? for ly| < Im, J= 8(2 – y)a, A/m? for 1arrow_forwardObtain the differential equation of all the circles with center on line y - x and passing through the origin. %3D Select one: O a. (y² + 2xy – x²)dx – (y² – 2xy² – x²)dy = 0 O b. (y² – 2xy – x²)dx – (y² – 2xy – x²)dy = 0 O C. %3D | (y² + 2xy - x²)dx+ (y² – 2xy- x²)dy = 0 O d. (y2 + 2xy- x²)dx - (y²- 2xy +x²)dy = 0 %3D |arrow_forwardThe electric potential at points in xy plane is given by V=3x-y Whatis the electric fiekd at the point (1,2)min unit vector notation? O A) 61-4 -6i+4} Og -a-4 I -a4) 31-4 E)arrow_forwardElectrical Engineering For free space, & = 8.85x10-¹2 F/m, 4 = 4×10¹H/m. 1. In the free space, an infinite plate area with a thickness of 2a is uniformly distributed with current J-Joey. Find the magnetic induction intensity of each point in the space. 2 3 ta -a Solve question no-01 I Xarrow_forwardElectrical Engineering Given that vector field r xi + yj + zk, compute the flux integral (surface integral) of r over a square box with side lengths equal to L by applying the divergence theorem to convert the flux integral into a volume integral. A) 3L3 B) 9L C) 2xyL D) Lz E) None of thesearrow_forwardQ4/ For the following configuration, both line and cylinder are infinite in extent with z-axis ρι -3μ C/m %3D ... 2 m 1.5 -C/m² Ps ... . .. .. ... .. .... ... .... .... ... . The value of electric field density at r= 3 m The value of electric field density at r= 1 m 0.0796 μC/m? 0.0398 μC/m2 0.239 μC/m 0.477 μC/m O Option 1 Option 2 O Option 1 Option 2 0.0531 µC /m² 1.5 μC/m2 O Option 3 None of the above O Option 3 O None of the abovearrow_forwardIf a scalar field φ(x,y,z)=3x2y-y3z2, calculate the gradient ∇φ at point M(1,-2,1).arrow_forwardThe coefficient c_n for the complex Fourier Series of f(t) = cos -Tarrow_forwardElectrical Engineering There are static electric displacement vector field D- = 3x 3~ax-2y 2~ay -z 3~az and static magnetic field H~ = yz2~ax + 2xz2~ay - xyz~az in free space. [All units are SI]. A) Check if such fields are consistent with the Maxwell equations; B) Find the electric charge density p(x, y, z); C) Find the electric current density J~(x, y, z).arrow_forwardMN is a straight current carrying conductor located at the y axis; the intensity of the electrical current is 100 A directed outward from the origin to the infinity on the positive y axis. M (0, 4, 0), N (0, 40, 0), the magnetic field intensity H at the point P (0.4, 5, 0) is Select one: a. 78.8 A/m b. 51.93 A/m c. 158.75 A/m d. None of the above e. 38.36 A/marrow_forwardThe magnetic field in a certain region is given by the expression B(t)=B0cos(kz-wt)j^ Using the knowledge of Maxwell’s equation, find the curl of the induced electric field at that location.arrow_forwardAn infinite straight filament is located at y axis and carrying a current of 40 A. The produced magnetic field intensity H at the point M (1, 0, 0) Select one: a. 6.36 A/m b. 4.77 A/m c. None of the above d. 1.59 A/m e. 3.18 A/marrow_forwardarrow_back_iosSEE MORE QUESTIONSarrow_forward_iosRecommended textbooks for you
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