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Question
- total inductance in series is calculated as for
a resistors in parallel
b resistors in series
c capacitors in series
d inductive reactances in parallel
When inductors are in series, the total inductance \(L_{total}=L_1 + L_2+\cdots+L_n\). For resistors in series, the total resistance \(R_{total}=R_1 + R_2+\cdots+R_n\).
For capacitors in series \(\frac{1}{C_{total}}=\frac{1}{C_1}+\frac{1}{C_2}+\cdots+\frac{1}{C_n}\). For resistors in parallel \(\frac{1}{R_{total}}=\frac{1}{R_1}+\frac{1}{R_2}+\cdots+\frac{1}{R_n}\). Inductive reactance \(X_L = 2\pi fL\), and when inductors (or inductive - reactance elements related to inductors) are in series, \(X_{L_{total}}=X_{L1}+X_{L2}+\cdots+X_{Ln}\) (similar to resistors in series formula).
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B. resistors in series