To find the resonance frequency when there are four inductors in series, you can follow these steps:
Determine the equivalent inductance (L_eq) of the series combination of the four inductors. In a series circuit, the total inductance is the sum of the individual inductances:
L_eq = L1 + L2 + L3 + L4
Calculate the equivalent capacitance (C_eq) of the circuit if there are any capacitors present.
Use the resonance frequency formula to find the resonance frequency (f_res):
f_res = 1 / (2π√(L_eqC_eq))
If there are no capacitors in the circuit (C_eq = 0), the resonance frequency simplifies to:
f_res = 1 / (2π√L_eq)
By following these steps, you can determine the resonance frequency for a series combination of four inductors. Just ensure that you have the values of the individual inductances and any capacitance present in the circuit.