Physics

Problem

After differentiating

Z^2

with respect to

\omega

for a series LCR circuit, two factors appear:

\left(\omega L - \dfrac{1}{\omega C}\right)

and

\left(L + \dfrac{1}{\omega^{2} C}\right)

. To obtain the finite angular frequency at which the impedance is minimum, which factor must be set equal to zero? a) Only

\left(L+\dfrac{1}{\omega^{2}C}\right)=0

b) Only

\left(\omega L-\dfrac{1}{\omega C}\right)=0

c) Both factors must simultaneously be zero d) Neither; the impedance is minimum when

\omega=0