A signal-processing circuit uses a miniature inductor of inductance connected in…

PHYSICS · Multi-part · AP · Physics C: Electricity and Magnetism · Electromagnetic Induction · Electromagnetic Induction

Problem

A signal-processing circuit uses a miniature inductor of inductance

L = 250\,\mu\text{H}

connected in series with a capacitor of capacitance

C = 47\,\text{pF}

. (i) Calculate the resonant frequency

f_0

of the circuit. Express your answer in

\text{MHz}

using scientific notation and three significant figures. (ii) Determine the corresponding resonant angular frequency

\omega_0

\text{rad\,s}^{-1}

. Give your answer in the form

a \times 10^{b}

with three significant figures.