Question

QUESIUI 10 U10 Hearing aids can be tuned to filter out or amplify either high- or low-frequency sounds, depending on the frequency range in which a user has suffered hearing loss. If, for instance, a user needed to amplify low-frequency sounds and the hearing aid had a capacitance of 5.0 pF, what inductance L should it have in order to produce peak signals at 1800 Hz?! mH

Answer 1

The resonant frequency of the hearing aid must be equal to the given frequency f = 1800 Hz.

f=2LC

1800 = 27 L(5 x 10-6)

472L(5 x 10-6)

472 x 18002 x (5 x 10-6)

L = 1.56 x 10-3 H = 1.56 mH

Hence the required inductance is = L = 1.56 mH