Asinusoidal wave on a transmission line is specified by voltage and current in phasor form:
v s(z) = v0 eαz jβ zand is (z) = i0eαz ejβz ejϕ
where v0 and i0 are both real.
(a) in which direction does this wave propagate and why?
(b) it is found that α = 0, z0 = 50 ω, and the wave velocity is vp = 2.5 x 10^8 m/s, with ω = 108 s−1. evaluate r, g, l, c, λ, and ϕ.

Aplate clutch has a single pair of mating friction surfaces 250-mm od by 175-mm id. the mean value of the coefficient of friction is 0.30, and the actuating force is 4 kn. a) find the maximum pressure and the torque capacity using the uniform-wear model. b) find the maximum pressure and the torque capacity using the uniform-pressure model.

Most leaks in reciprocating air compressors can be detected and minimized by: (clo4) a)-detecting leakage areas using ultrasonic acoustic detector. b)-tightening joints and connections c)-replacing faulty equipment d)-all of the given options

Asolid cylinder is concentric with a straight pipe. the cylinder is 0.5 m long and has an outside diameter of 8 cm. the pipe has an inside diameter of 8.5 cm. the annulus between the cylinder ad the pipe contains stationary oil. the oil has a specific gravity of 0.92 and a kinematic viscosity of 5.57 x 10-4 m2/s. most nearly, what is the force needed to move the cylinder along the pipe at a constant velocity of 1 m/s?