Auniform plane wave of frequency fis propagating through a certain lossy ( 1 medium. the wave is described by the equations 0, 0) non-magnetic (u. is the distance from the origin in the direction of provided to you. in those equations propagation. a. find the wavelength i 4 points b. find the value of er 4 points c. find the value of o 3 points d. find the value of the loss tangent 3 points e. find the magnitude of the magnetic field at the origin 3 points f. find the direction of propagation 3 points problem 1 f = 600 mhz er, t) = 2.4 e -2.97 cos(wt -6.9tr) (-0.57748 -0.5774 9 -0.57742) v/m h(r, t) = h, e-2.9r cos(wt - 6.9tr - (-0.4082 8-0.4082 9 +0.8165 2 ) a/m

Fft review: linspace, fs, fftshift, nfft 1. generate one second of a cosine of w,-10hz sampled at f, = 100hz and assign it to x. define a tt as your time axis 2. take 64 points fft. 3. as you remember, the dft (which the fft implements) computes n samples of s2t where k-0,1,2, n -1. plot the magnitude of this 64-points fft at range 0 to 63, what do you think of this graph? 4â·to get the x-axis into a hz-frequency form, plot this 64-points fft between-50 to 50 (the 100hz sampling rate) and have n-points between them. 5. according to your figure, what frequency is this cosine wave at? 6. remember that the fft is evaluating from 0 to 2ď€. we are used to viewing graphs from-ď€ to ď€. therefore, you need to shift your graph. 7. now according to your shifted graph. what frequency is this at? 8. note that the spikes have long drop-offs? try a 1024-point dft. note that the peak is closer to 10 and the drop-off is quicker. although, now sidelobes are an issue

World class speed skaters can skate a 3,000-m course in about 4 minutes. what is their average speed for this course? a. 12.5 m/sb. 1.33 m/sc. 1.25 m/sd. 13.3 m/s

Which of these questions might a character ask if the conflict is man versus self? a. which path should i take to better myself? b. which boulder will be too heavy for me to carry? c. which friend is going to ditch me today? d. all of the above