1-HW1_EM Waves_S2010.pdf - University of Windsor Electrical...

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University of Windsor, Electrical and Computer Department Summer 2010 0688432-EM Waves & Radiating Systems II R. Rashidzadeh Homework # 1 Due Wednesday May 26, 2010 1- Given z y x a a a A 4 2 5 + - = find the expression for unit vector B if (a) B is parallel to A (b) B is perpendicular to A and B lies in xy-plane. 2- Given z r a z a r F + = 3 , find S S d F . over the surface of closed cylinder about the z-axis specified by 2 , 3 = ± = r z . 3- Given ( ( ( z y x a z y c a z x c a z c y F + - - + - = 3 2 1 2 3 (a) Determine 0 , 3 2 1 = × F if c and c c (b) Determine the potential function V whose negative gradient equals F. 4-Three infinite uniform sheets of charge, each with density m C s / 10 9 - = ρ are located at x=1,2,3 . Determine E in all regions. 5-Consider two spherical conductors with radii cm r and cm r 2 1 2 1 = = that connected by a wire. A total charge of Q is deposited on the spheres; assume the charges on the spherical conductors are uniformly distributed. (a) Find the charges on the two spheres (b) Find the electric field intensity E at the spheres. 6-A cylindrical capacitor is defined by Length=L, Radius of the inner conductor=a, dielectric
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  • Summer '19
  • Magnetic Field, Electric charge

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