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Provide a present-perfect form for this verb. 

Provide a past perfect progressive form for this verb. 

Select all of the following modal verbs that are present-tense forms:

Provide a present progressive form for this verb. 

Provide a past perfect form for this verb. 

Problem C.1 (10 points) A uniform plane wave of frequency 1 GHz travels in air and is incident normally on a lossless non-magnetic with dielectric constant of 9 (see figure). The E field of the wave has a peak amplitude of 5 (V/m) and an initial phase shift of 45o. Find the following: (a) Expression for the incident electric field vector in the time domain (3 points) (b) Expression for the transmitted magnetic field intensity in the phasor domain (3 points) (c) Expression for the reflected electric field intensity vector in the time domain (3 points) (d) Orientation of the reflected magnetic field intensity vector (1 point) Problem C.2 (5 points) (a) For a radar operating at 50 GHz, a radome is made of material with dielectric constant 2.1 (see figure). Determine the minimum possible values for thickness of the radome, s and distance from the antenna, d (2 points). (b) An electromagnetic wave with parallel polarization travels through air and illuminates a non-magnetic material with dielectric constant of 16. Sketch of the variation of the magnitude of the reflection coefficient at the boundary between the two materials as a function of angle. Calculate the magnitude of reflection coefficient at normal incidence. Label important features on the graph (3 points)

Problem D.1 (2 points) A 75 Ω load is connected to a 10 GHz source with impedance of 20 Ω. Design a matching network to ensure maximum power transfer to the load. Assume that any transmission lines in the matching network are made using an insulator with dielectric constant of 6. Problem D.2 (5 points) Find the input impedance of the following transmission line structure at 1 GHz. Note that the lengths of the transmission lines are expressed as electrical lengths for some sections.   Problem D.3 (8 points) A 100-80j Ω load is connected to a transmission line with characteristic impedance of 20Ω. The operating frequency is 2 GHz and the transmission line is made of a lossless insulator with dielectric constant of 4. Using the Smith Chart provided, answer the following: (a) Plot the load (1point) (b) Determine the reflection coefficient at the load (1 point) (c) Determine the VSWR (1 point) (d) If the length of the transmission line is 0.6λ, determine the input impedance (2 points) (e) Instead of the 0.6λ length, if the length of the transmission line is 4cm, determine the input impedance. (2 points) (f) Where does a short circuit lie on the Smith Chart? (1 point)

Problem A.1 (10 Points) Two-point charges 1nC and -1nC are placed at (5,3,1) and (2,0,1), respectively. An infinite sheet charge parallel to the x-z plane is placed at y = -5. The sheet has uniform charge density of 4 pC/m2. Find the net electric field intensity at the origin if the dielectric constant in the region containing the charges and the observation point is 2.   Problem A.2 (5 Points) Design a coaxial capacitor with capacitance 10 pF under the following constraints. Note there are multiple answers to this problem. Dielectric constant of the insulator inside the capacitor is 6. Minimum radius for inner conductor is 10mm. Maximum radius for outer conductor is 30mm.

Suppose you found the house that you have been looking for years! It comes with a price tag of $350,800. As preparation for this very moment you have been saving for the last five years and managed to save $35,000 which you plan to put down as a down payment for the house. If the mortgage company is willing to finance your house with a 7.5% APR, 30-year loan, then what would be your monthly payment? $[pmt1] (Round up your answer to two decimal point) Using the monthly payment, fill out all the blank boxes below. Fill in the answer for every box and show how you got the numbers in the box (meaning, write the actual calculations to show how you got each of the answer). Months Beg Loan Bal.(Show how you got the number) Monthly Payment (No need to show how you got the number) Applied to Int.(Show how you got the number) Applied to Prin.(Show how you got the number) End Loan Bal.(Show how you got the number) 1st Month $[loan] $[pmt1] $[1int] $[1prin] $[1endbal]  

Factor the four-term polynomial by grouping.x3 + 7×2 + x + 7