Chapter 4, Problem 4.5P

please explain all steps and draw any drawings, don't just explain what they look like please. thank you

please explain and show all steps, thank you.

A rectangular waveguide with dimensions a = 2.5 cm, b = 1 cm is to operate at 15 GHz. σ = 0, E4, μ= 1 3- Calculate phase constant for TE10 mode. 4- Calculate the phase velocity and wave impedance for the same mode.

Find v(t) for t> 0 in the circuit of Fig. below. Assume the switch has been open for a long time and is closed at t = 0. Calculate v (t) at t = 0.5. 10 V 202 www +21 t=0 60 ww 13 F بلا SV

Q: A rectangular waveguide with dimensions a = 2.5 cm, b = 1 cm is to operate at 15 GHz. σ = 0, E4, μ = 1 1- At which frequencies this type of TL (transmission line) operate ? 2- Why this this type is used in such frequencies? 3- Calculate phase constant for TE10 mode. 4- Calculate the phase velocity and wave impedance for the same mode.

K Q1/ For the system G(s)= (s+2)(s+4)(s+5) H(s)=1 a. Draw the Bode log-magnitude and phase plots. b. Find the range of K for stability from your Bode plots. c. Evaluate gain margin, phase margin, zero dB frequency, and 180° frequency from your Bode plots for K = 200

Q3/A unity-feedback system with the forward transfer function S(S+7) is operating with a closed-loop step response that has 15% overshoot. Do the following: a. Evaluate the settling time. b. Design a PD compensator to decrease the settling time by three times.

K Q2/ Consider the system G(S) H(S)=1.5 0.4923. S(S+1)(S+2) a. Evaluate the steady-state error for a unit ramp input. b. Design a lag compensator to improve the steady-state error by a factor of 10(increase the static velocity error constant Kv to about 10 times) to get a new dominant closed-loop poles. s=-0.3± j0.55. place the zero of the lag compensator at s=-0.05 c. if R1= 10K, R2=5K2, R3= 10K2 design the lag compensator using Op amp

If the switch in Fig. 4 has been open for a long time and is closed at t = 0, find vo(t). t=0 292 ww + ΔΩ 3F= Vo 12 V