Electronic Circuit Analysis
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Electronic Circuit Analysis

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Tuned Amplifiers - I<br />

In a general case,<br />

So let<br />

Now,<br />

K:;t: Ke<br />

K =b. Kc<br />

VI = Zll II + Z12.12<br />

107<br />

..... (10)<br />

Solving equation 10 and 11, for 1 2 , we get<br />

VI Z2I<br />

12 = 2<br />

ZII Z22 -Z12<br />

..... (11)<br />

..... (12)<br />

where<br />

, 1<br />

Zll = Ro + j (roL - roC)<br />

...... (13)<br />

, . ( 1 )<br />

~2 = Ri + J roL2 - ~<br />

..... (14)<br />

and<br />

ZI2 = ~I = jroo M<br />

..... (15)<br />

At resonance, Zll = R~ and ~2 = Ri<br />

For maximum transfer of power at resonance,<br />

Zll = R~,<br />

ZI2 = jroo Me<br />

~2 = Ri,<br />

..... (16)<br />

Substituting these values of Zll' ~2' and ZI2 in equation 12, we get the following conditions<br />

for maximum transfer of power at resonance.<br />

-j VI roOMC<br />

12 Max = RI RI 2 M2<br />

o i +ror C<br />

Me is the critical value of Mutual Inductance.<br />

Substituting the value of Me in equation 17, we get<br />

..... (17)<br />

..... (18)

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