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Electric circuits miscellaneous

  1. The resonant frequency for the given circuit will be

    1. 1 rad/s
    2. 2 rad/s
    3. 3rad/s
    4. 4 rad/s
Correct Option: C


Let frequency be ω .

∴ z = jωL +
R
1 + jωRC

z = j 0.1 ω +
1
×
1 - jω
1 + jω1 - jω

= j0.1ω +
1 - jω
1 + ω2

=
1
+ j0.1 ω -
ω
1 + ω21 + ω2

For resonance, imaginary part must be zero.
∴ 0.1 -
ω
= 0
1 + ω2

or 0.1 =
1
1 + ω2

or 1 + ω2 = 10
or ω2 = 9
ω = 3 rad/sec



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