Radiation Resistance of a small loop antenna To find the radiation resistance the power radiated is to be calculated the total power radiated is obtained by integrating the poynting vector 2 1 1 E W  E X H  120 η  2 η 4 2 2 sin (120) I π θ 2 1 A2 2π π 2 ∫ ∫ sin r dθ dφ θ  W 2 4 2 r λ 120π 0  θ φ 0 60π 2π 3 2 2 3 π sin I A ∫ ∫ θ dθ dφ  W 4 λ  0 θ φ 0 3 160π I A (2π 2 4 )  W λ4 3 4 160π I A 2 (4.6)  W λ4 If the radiation resistance of the loop is Rr then the power dissipated=I2Rr/2 where I is the current
Radiation Resistance of a small loop antenna To find the radiation resistance the power radiated is to be calculated the total power radiated is obtained by integrating the poynting vector 1 1 E 2 W  E X H  η  120 2 η π 2π (120) 2 π 4 I 2 sin 2 θ A2 1 W  ∫ ∫ r 2 sin θ dθ dφ 2 r 2 λ 4 θ  0 φ 0 120π π 2π 60π 3 2 2 3 W  ∫ ∫ I A sin θ dθ dφ 4 θ  0 φ 0 λ W  160π 3 I 2 (2π ) 4 λ4 3 W  160π 4 I 2 (4.6) λ4 If the radiation resistance of the loop is Rr then the power dissipated=I2Rr/2 where I is the current A A
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