## Related questions with answers

Question

In tuning a stereo system to a radio station, we adjust the tuning control (turn a knob) that changes C (or perhaps L) in an RLC-circuit so that the amplitude of the steady-state current becomes maximum. For what C will this happen?

Solution

VerifiedAnswered 2 years ago

Answered 2 years ago

Step 1

1 of 2$I_p(t)=I_0\sin(\omega t-\theta)$

Amplitude $\ ,\quad I_0=\dfrac{E_0}{\sqrt{R^2+\big(\omega L-\dfrac{1}{\omega C}\big)^2}}$

Will be Maximum when ,

$\omega L-\dfrac{1}{\omega C}=0$

$\omega^2=\dfrac{1}{LC}$

i.e$\quad$when$\qquad\boxed{\ C=\dfrac{1}{L\omega^2}\ }$

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