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

Two point charges are on the y axis. a 3.90-µc charge is located at y = 1.25 cm, and a -2.4-µc charge is located at y = −1.80 cm. (a) find the total electric potential at the origin. v (b) find the total electric potential at the point whose coordinates are (1.50 cm, 0). v

Why does karst topography exist in some geographic location? a. few climates have enough oxygen b. most regions have rock layers other than limestone c. in most regions, the soil is too thin d. the water is too acidic enough in most places

The second largest public utility in the nation is the sole provider of electricity in 32 counties of southern florida. to meet the monthly demand for electricity in these counties, which is given by the inverse demand function p = 1,200 – 4q, the utility company has set up two electric generating facilities: q1 kilowatts are produced at facility 1, and q2 kilowatts are produced at facility 2 (so q = q1 + q2). the costs of producing electricity at each facility are given by c1(q1) = 8,000 + 6q12 and c2(q2) = 6,000 + 3q22, respectively. determine the profit-maximizing amounts of electricity to produce at the two facilities, the optimal price, and the utility company’s profit