Electricity and Magnetism · Problem 8.18

MAXWELL'S EQUATIONS AND ELECTROMAGNETIC WAVES — Edward Purcell & David Morin

Physics — E&M · effect-of-damping-on-frequency

Problem

Using Eqs. (8.9) and (8.13), express the effect of damping on the frequency of a series

RLC

circuit, by writing

\omega

in terms of

Q

and

\omega_0 = 1/\sqrt{LC}

. Suppose enough resistance is added to bring

Q

from

\infty

down to 1000. By what percentage is the frequency

\omega

thereby shifted from

\omega_0

? How about if

Q

is brought from

\infty

down to 5?