Question

Power received by the antenna when one antenna is horizontally polarized and the other is vertically polarized is _______

(a) 1

(b) 0

(c) (frac{P_r}{P_t} = frac{G_t G_r λ^2}{(4πR)^2})

(d) (frac{P_r}{P_t} = frac{G_t G_r λ^2}{2(4πR)^2})

Answer 1

The correct choice is (b) 0

To elaborate: When the receiving and transmitting antennas polarization is not matched, the Friss transmission equation includes a polarization loss factor given by cos^2θ. Since one is vertically polarized and other is horizontally polarized, the angle difference is 900. PLF=cos^2θ=0

∴ (frac{P_r}{P_t} = PLFfrac{G_t G_r lambda^2}{(4pi R)^2} =0)

So, no power is received.