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

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

This question was posed to me in an interview for internship.

Enquiry is from Friis Transmission Equation topic in section Antenna Parameters of Antennas

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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

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

So, no power is received.

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