Quiz - Basics of Two Antenna Systems

True or false: The success of a signal to travel from one antenna to another is measured by the voltage of the received signal to the voltage of the transmitted signal

True or false: In general, the gain of a transmitting or receiving antenna is dependent on the antenna's angles $\theta$ and $\phi$, as well as the frequency of the transmitted signal

True or false: A transmitted signal experiences path loss when it travels through any medium except for vacuum

True or false: Any material that is conductive will create an attenuation on any traveling signal passing through it

True or false: An antenna transmitting or receiving outside of its designed bandwidth will be unable to transmit or receive any signals

True or false: The Frii's Transmission Equation is a simplified equation that tells the total gain of a system, including any losses in the system

Given a system of two antennas in a vacuum with a system gain of $\frac{P_{out,r}}{P_{in,t}} = -6dB$, a transmitting antenna gain of $-3dB$, a receiving antenna gain of $-0.5dB$, find the distance between the antennas with Frii’s Transmission equation at $10GHz$

How far would two antennas have to be from each other to have a path loss of $-25dB$ at $4.5GHz$?

Given a transmitting antenna polarized to transmit a wave such as $\overline{E}_t = 3 cos \left(  \omega t + z  \right) \hat{a}_x - 4 cos \left(  \omega t - \frac{\pi}{4} + z  \right) \hat{a}_y$ and a receiving antenna polarized to receive a wave such as $\overline{E}_r = cos \left(  \omega t + z  \right) \hat{a}_x + 2 cos \left(  \omega t + \frac{\pi}{4} + z  \right) \hat{a}_y$, find the polarization loss between these two antennas

Given a transmitting antenna with a gain of $G_t \left(  \theta_t,\phi_t  \right) = sin\left( \theta_t \right)-\frac{1}{cos\left( 3\phi_t \right)}$ in position $\theta_t = 15^{\circ}$, $\phi_t = 35^{\circ}$ and a receiving antenna with a gain of $G_r \left(  \theta_r,\phi_r  \right) = 2 + sin\left( 2\theta_r \right) - 3sin\left( 4\phi_r \right) $ in position $\theta_r = 7^{\circ}$, $\phi_t = 5^{\circ}$, find the gain of the system when operating at $4GHz$ and at a distance of $0.02m$ using Frii’s Transmission equation