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Inductive Reactance

A series R-L-...

Question

A series R-L-C circuit has a Q of 100 and an impedance of (100 + j0) $Ω$ at its resonant angular frquency of
$10^{7}$ radians/sec. The values of R and L are:
R = L=

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Solution

$Z = R + j (X_{L} - X_{C}) = 10 + j 0$
Compare the real part

$R = 100 Ω$

$Q = \frac{ω L}{R}$

$L = \frac{Q R}{ω} = \frac{100 \times 100}{10^{7}} = 1 m H$

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