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The vector potential of magnetic field in free space is given as: (A=40 r ăz ) Wb/n i) Find (A, H, B, and J) at (r-1, 0

The vector potential of magnetic field in free space is given as: (A=40 r ăz ) Wb/n i) Find (A, H, B, and J) at (r-1, 0

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Q1: The vector potential of magnetic field in free space is given as: (A= 40 ,° ăz ) Wb/m. i) Find (A, H, B, and J) at (r=1, 0<¢<2x , z =0). ii) If the radius of the current element is (r= 1)mm, find the current. %3D Q2: A point charge of ( Q= 4) C moves with velocity ( u=20 ă x + 30 å y) m/sec in an electric field (E-3 ăx +4 ăy-5 ăz) A/m, and magnetic field (B=4 äx-3 ăy+2 ăz) T. Find the force on the charge. E Q3: Two concentric spherical shells of radii (a= 10 cm), and (b=30 cm). the voltage at (a) is (10)V, and at (b) is (0)V. Use Laplace equation to find ( V, and E ) at ( r= 15) cm. Q4: A coaxial cable of length (20) m. The radius of inner conductor is (1)mm, and of outer conductor is (4)mm. The dielectric material has relative permittivity (3), and relative permeability (5). Find the capacitance and inductance of this cable. Q5: Two homogeneous dielectric materials meat at (y=0) plane. For (y>0), (µ1=3),and the magnetic field is( H1=3 ăx+5 ăy – 4 ăz) A/m. For (y<0), (µ2=5). Find H2, 01, 02. Bin fon
Transcribed Image Text:Q1: The vector potential of magnetic field in free space is given as: (A= 40 ,° ăz ) Wb/m. i) Find (A, H, B, and J) at (r=1, 0<¢<2x , z =0). ii) If the radius of the current element is (r= 1)mm, find the current. %3D Q2: A point charge of ( Q= 4) C moves with velocity ( u=20 ă x + 30 å y) m/sec in an electric field (E-3 ăx +4 ăy-5 ăz) A/m, and magnetic field (B=4 äx-3 ăy+2 ăz) T. Find the force on the charge. E Q3: Two concentric spherical shells of radii (a= 10 cm), and (b=30 cm). the voltage at (a) is (10)V, and at (b) is (0)V. Use Laplace equation to find ( V, and E ) at ( r= 15) cm. Q4: A coaxial cable of length (20) m. The radius of inner conductor is (1)mm, and of outer conductor is (4)mm. The dielectric material has relative permittivity (3), and relative permeability (5). Find the capacitance and inductance of this cable. Q5: Two homogeneous dielectric materials meat at (y=0) plane. For (y>0), (µ1=3),and the magnetic field is( H1=3 ăx+5 ăy – 4 ăz) A/m. For (y<0), (µ2=5). Find H2, 01, 02. Bin fon
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