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208 P a r t I I I : H i g h - F r e q u e n c y B u i l d i n g - B l o c k A n t e n n a s<br />

<br />

8<br />

<br />

8<br />

X 1<br />

X 2<br />

S 1<br />

<br />

8<br />

<br />

8<br />

Figure 7.1 Half-wave square loop antenna.<br />

Example 7.1 Find the inductance for each coil in a loaded half-wavelength closed-loop<br />

antenna that must operate in a band centered on 10.125 MHz.<br />

Solution Use Eq. (7.1).<br />

(Note: 10.125 MHz = 10,125,000 Hz.)<br />

8<br />

3.6 × 10<br />

L =<br />

= 5.7µ<br />

H<br />

2 π(10,125,000)<br />

<br />

The coils add lumped circuit inductive loading to the loop, giving it a greater effective<br />

length in a small space. The currents flowing in the antenna can be quite high, so,

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