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The resonant frequency for the given circuit will be
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- 1 rad/s
- 2 rad/s
- 3rad/s
- 4 rad/s
Correct Option: C
Let frequency be ω .
∴ z = jωL + | ||
1 + jωRC |
z = j 0.1 ω + | × | |||
1 + jω | 1 - jω |
= j0.1ω + | ||
1 + ω2 |
= | + j | ![]() | 0.1 ω - | ![]() | |||
1 + ω2 | 1 + ω2 |
For resonance, imaginary part must be zero.
∴ 0.1 - | = 0 | |
1 + ω2 |
or 0.1 = | ||
1 + ω2 |
or 1 + ω2 = 10
or ω2 = 9
ω = 3 rad/sec