ignore my work off the the right 4 Consider the following ci

ignore my work off the the right

4) Consider the following circuit: 125 mHX 330n 4 0 HE 750 Hz(U : 330 What capacitor would create a minimum impedance in the circuit? What are the capacitive and inductive reactances at this frequency? A) B)

Solution

minimum impedance od resonant frequency Z = R

X_L= X_C

2 pi f L = 1 / 2 pi f C

C = 1 / 4 pi² f² L

= 1 / (4 pi² * 750² * 125 * 10^-3)

= 3.60 * 10^-7 C

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X_L = 2 pi f L

= 2 pi * 750 * 125 * 10-3

= 589.46 ohms

X_C = 1 / 2 pi f C

= 1 / (2 pi * 750 * 3.60 * 10^-7 )

= 589.46 ohms