Repeat parts (a) and (b) of Problem for a small rectangular loop of sides Lx and Ly. Repeat part (c) for f = 1 (MHz), Lx = Ly = 2b = 1 (m), a = 3 (mm), and compare results.
A time-harmonic uniform current I0 cos ωt flows in a small circular loop of radius b (<<λ) lying in the xy-plane.
a) Find the radiation resistance Rr of the magnetic dipole.
b) Obtain an expression for its radiation efficiency nr if the loop is made of copper wire of radius a,
c) Calculate Rr and nf for f = 1 (MHz), b = 50 (cm), and a = 3 (mm).
d) Rework part (c) if the loop has ten closely wound insulated turns.
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