The solution is as follows
3. A TE wave propagating in a dielectric-filled waveguide of unknown permittivity has dimensions a =...
Q3. (25 pts) A rectangular waveguide with sizes a = 10cm and b = 6cm is filled with a dielectric material characterized by o = 0.2 = 1.5&g and p = Mo. The x-component of the TE wave propagating inside the waveguide is given by Ex = -24 cos(40mx) sin(100ry) sin(2.41 x 100+ - Bz) (V/m) Determine, (a) The mode of operation and the mode number (If there are more than one possible answer, proceed to remaining parts of the...
1. Square wave guide Consider a waveguide that is filled with a dielectric that undergoes breakdown (sparking) at an electric field of 10 kV/m. Calculate the maximum power that can be carried by the TE1,0 mode without breakdown if the dimensions of the wave guide are 5 cm by 5 cm. Assume that the frequency is twice the cutoff frequency. Your may express your answer in terms of the index of refraction. 1. Square wave guide Consider a waveguide that...
A parallel plate waveguide is filled by a dielectric material of EF 4 & ul. 1. Define wave types mit C sin(max) e-72 (i) Hz jωμα aC1 cos(77%) e-ýz Hx = -j C sin(max) e-72 7 Hy = C4 cos(max.) (ii) {Ex cos(max) jωε EZ imac4 sin(max) e-72 -CA e-12 le-72 = Hy = C4e-2 < Parallel plate waveguide: wave (iii) propagating to +z direction > Ex T = jωε Cqe iz 2. Let a=1.5 cm. Find all the possible...
An air-filled waveguide has dimensions a-2.5 cm and be 1,0 em in the x and y direetioms respectivety a) ( Spta) Find the cutoff frequeney of the TEs mode for this waveguide b) (6pts) Find the wave impedance for the TEi0 mode c) (5pts) If the operating frequeney is 12 GHz, List all the modes that will propagate in the waveguide
An air-filled waveguide has a=6cm and b=4cm. What modes, both TE and TM, are possible if a wave of frequency f=6GHz is to be probagated down the guide? hint: Every mode between cutoff and 6GHz.
Please show steps We have that the instantaneous magnetic field H of a wave propagating in 5. lossless linear, homogeneous, isotropic, (LHI) material that is charge free, non-magnetic Ho) and has a dielectric relative permittivity of e, The instantaneous representation of the magnetic field intensity is given as; H 25 cos(T x 10e + 0.5ry) uA/m (a) Is this wave a uniform plane wave? If so, explain which plane, and why, or wity not, is te wave uniform. Which direction...
3) As in Figure 2, the rectangular waveguide with air filled (? = ?0, ? = ?0) and dimensions a = (2.75 + d) cm and b = (1.5 + h) cm operates under the operating frequency of 7.580 GHz. d = 8/10 h = 6/10 According to this, a) Which wave mode is the dominant mode (dominant mode)? Why? Figure 2- Rectangular Wave Guide b) Calculate the Z, β, up and λg values for the dominant wave mode. b
A UPEMW propagating in an infinite lossless dielectric medium has the following instantaneous expression for its magnetic field component: H(r,t) = -iy2 sin(6π x 108t - 20πz + 300), A/m. Find: the frequency f of the wave in Hz the wavelength λ of the wave in m the phase velocity vph of the wave the group velocity vg of the wave the relative refractive index nr of the dielectric medium the unit vectors iE, iHand ik the phasor expression for...
3. (10 points) A uniform plane wave is propagating at a velocity of 1.6x108 m/s in a perfect dielectric. The E wave and H wave are given respectively by Ez,t) = 780 cos(277 1.5 108t - Bz) a, V/m H(z,t) = 2.9 cos(211 X 1.5 x 108t – Bz) ay A/m Find (a) B (b) 2 (c)n (d) Mr (e) Er
1. [Wave guides] (30 pts) A standard air-filled S-band (2-5GHz) rectangular waveguide has dimensions a-7.21cm and b-3.4cm. W following wavelengths (you are operating at these frequencies)? hat mode types can be used to transmit electromagnetic waves having the b. -3cm 1. [Wave guides] (30 pts) A standard air-filled S-band (2-5GHz) rectangular waveguide has dimensions a-7.21cm and b-3.4cm. W following wavelengths (you are operating at these frequencies)? hat mode types can be used to transmit electromagnetic waves having the b. -3cm