A broadcasting station transmit at a frequency of 89.5MHz. What capacitance together with an inductance of 30microH is needed to tune to this station. . . Teempakguy , Robinhez , Dekatron , Johnydon22 , Acorntree , It is from OAU post utme past questions

no voltage or current value was provided?

Teempakguy:
no voltage or current value was provided?

Yes

Queed:
A tank circuit is a parallel combination of a capacitor and inductor, mostly used for TUNNING and Filtering..
To tune to that desired frequency... they would have to oscillate at their resonant frequency; which is when
Xl = Xc

2pi*F*L = 1/(2pi*F*C)

makin C the subject

C = 1/(2*2*pi^2 * F^2 *L)

C= capacitance value = ?
L=inductance value (30*10^-3 H)
F= resonance frequency (89.5*10^6 Hz)


...sure u can take it on from there, don't wanna get my hands dirty on maths this early morning

Thank you. i needed this myself.

but just to be clear, one can tune in to that resonant frequency when the reactance of the inductor is equal to the reactance of the capacitor?