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Question

In a medium ware broadcast radio can be tuned in frequency range 300kHz to 1200kHz in circuit of this radio effective inductance is 300cH, what range of variable capacitor?

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Solution

Given, α1=300×103Hz
α2=1200×103Hz
L=300μH=300×106H
α1=12πLC1
C1=14πLα21
or, C1=14π2×L×(360×103)2
=14(3.14)2×3.06×106(300×103)2
=9.39×108
=93pF
In the same way,
C2=14π2Lα22
=14π2×300×106×(1200×10+3)2
=14π2(300×106)(1200×10+3)2
=14(3.14)2×(300×106)×(1200×103)2
=58pF.

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