for an RLC circuit with a resistance of 11 k*ohm, a capacitance of 2 uF, and an inductance of 24 H, what frequency is needed to minimize the impedance?

Answer 1

R = 11 K Ohm,
L = 24 H.
C = 2uF.

The impedance is min. when Xl = Xc:
6.28*F*L = 1/6.28*F*C.
6.28*F*24 = 1/(6.28*F*2*10^-6).
150.72F = 1/(12.56*F*10^-6).
Multiply both sides by F:
150.72F^2 = 1/(12.56*10^-6).
150.72F^2 = 0.07962*10^6.
150.72F^2 = 79620.
F^2 = 528.26.
F = 23 Hz.