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evaluate the integral by changing to spherical coordinates0int6 0intradic36 - x2 radicx2 y2intradic72 - x2 - y2 xy dz
a hertzian dipole situated at the origin and oriented along the x-axis carries a current i1 i0 cos vt a second
1 compute the radiation resistance per kilometer length of a straight power-line wire comment on the effectiveness of
evaluate the integral intintr ex yx - y da where r is the trapezoidal region with vertices 1 0 2 0 0 -2 and 0 -1a
a straight wire of length 1 m situated in free space carries a uniform current 10 cos 4p 106t aa calculate
1 how does the concept of an image antenna simplify the determination of the radiation pattern of an antenna above a
1 find the absolute maximum and minimum values of f on the given closed interval and state where those values occurfx
1 what is an array factor provide a physical explanation for the array factor2 discuss the concept of unit and
1 how do you find the radiation fields due to an antenna of arbitrary length and arbitrary current distribution2
advertising sound software estimates that it will sell s units of a program after spending a dollars on advertising
1 explain the self-consistency condition for waveguiding in a dielectric slab waveguide2 discuss the dependence of
decide whether the function f 4 -x2 satisfies the hypotheses of the mvp on the interval a b -1 0then find all values
1 briefly discuss the determination of the fresnel reflection and transmission coefficients for an obliquely incident
1 why is the dimension b of a rectangular waveguide generally chosen to be less than or equal to one-half the dimension
1 discuss the nomenclature associated with the modes of propagation in a rectangular waveguide2 explain the
1 discuss the phenomenon of dispersion2 discuss the concept of group velocity with the aid of an example3 what
1 is the cutoff wavelength dependent on the dielectric in the waveguide is the cutoff fre- quency dependent on the
1 determine whether the function is a solution of laplaces equation uxx uyy 0u lnx2 - y2 2 tan-lyx2 find an equation
1 how would you characterize a transverse magnetic wave2 compare the phenomenon of guiding of uniform plane waves
1 what are apparent phase velocities why are they greater than the phase velocity along the direction of propagation2
1 write the expressions for the electric and magnetic fields of a uniform plane wave propagating in an arbitrary
1 what is the propagation vector interpret the significance of its magnitude and direction2 discuss how the phase
the graph of the derivative f of a continuous function is shown figure 1a find the intervals where f is increasingb
1 discuss the bounce-diagram technique of transient analysis of a line with uniform initial voltage and current
1 discuss the determination of the voltage and current distributions on an initially charged line for any given time