A circular loop, of loop radius λ/30 and wire radius λ/1000, is used as a transmitting/receiving antenna in a back-pack radio communication system at 10 MHz. The wire of the loop is made of copper with a conductivity of 5 .7 × 10 7 S/m. Assuming the antenna is radiating in free space, determine the:

(a) radiation resistance of the loop;
(b) loss resistance of the loop (assume that its value is the same as if the wire were straight);
(c) input resistance;