$8)$ A circularly$-$polarized antenna is designed to receive a RHCP wave traveling in the z direction. It consists of two wire antennas, one oriented in the x direction and one oriented in the y direction. The signals are combined from each antenna with a $90$o phase shift between the two antennas, so that the total open$-$circuit voltage that is received is $()[]$ inc inc V h E jE T eff $=+$ x y V $.$ The normalized Th$$venin voltage is defined as inc inc T T eff $/$ V V h E jE $=+$ x y $.$ Calculate the magnitude of the normalized Th$$venin voltage for the following incident plane waves listed below, assuming that each plane wave has an incident time$-$average power density of $1[$W$/$m$2].$ a$)$ A linearly polarized plane wave, polarized in the x direction and traveling in the z direction. b$)$ A RHCP wave, traveling in the z direction. c$)$ A LHCP wave, traveling in the z direction. Hint: For each of the cases, first calculate what the expression for the electric field vector of the incident plane wave should be in the phasor domain, using the fact that the power density in the plane wave is known $(1[$W$/$m$2]).$ The time$-$average power density in the plane wave is $()22$ inc inc $201$ W$/$m $2$ x y S zE E $=+.$