A 25 mH inductor, a 0.001 microF capacitor and a 2.2 kOhm resisitor are connecte

Question

A 25 mH inductor, a 0.001 microF capacitor and a 2.2 kOhm resisitor are
connected in series with a signal generator. The emf amplitude produced by
the signal generator is 5 Volts. Find the reactance of each circuit element for the following three frequences: f = 3000 Hz, 31830 Hz and 300000 Hz. Rank the reactances of the three elements for each frequency.

b) Draw a phasor diagram (to scale!) representing the circuit for each of the
three frequencies. Find the current amplitude and phase shift for each of the
three frequencies

Explanation / Answer

Given that in a RLC circuit the inductance is L = 25 *10^-3 H  
   capacitance is C = 0.001 *10^-6 F    resistance is R = 2.2 *10^ 3 a ) Inductive reactance with frequency f = 3000 Hz                   X_L = 2fL                            = 2 * 3000H * 25*10^-3 H                                                   = 471     Inductive reactance with frequency f = 31830 Hz                   X_L = 2fL                            = 2 * 31830H * 25*10^-3 H                                                   = 4997.3 Inductive reactance with frequency f = 300000 Hz                   X_L = 2fL                            = 2 * 300000H * 25*10^-3 H                                                   = 47.1*10^3 capacitive reactance is X_C = 1/ 2 f C                                               = 1/ 2 *3000Hz *  0.001 *10^-6 F                                                 = 5.30*10^4    capacitive reactance is X_C = 1/ 2 f C                                               = 1/ 2 *31830Hz *  0.001 *10^-6 F                                                 = 5.00*10^3 capacitive reactance is X_C = 1/ 2 f C                                               = 1/ 2 *300000Hz *  0.001 *10^-6 F                                                 = 5.30*10^2                       X_L = 2fL                            = 2 * 31830H * 25*10^-3 H                                                   = 4997.3 Inductive reactance with frequency f = 300000 Hz                   X_L = 2fL                            = 2 * 300000H * 25*10^-3 H                                                   = 47.1*10^3 capacitive reactance is X_C = 1/ 2 f C                                               = 1/ 2 *3000Hz *  0.001 *10^-6 F                                                 = 5.30*10^4    capacitive reactance is X_C = 1/ 2 f C                                               = 1/ 2 *31830Hz *  0.001 *10^-6 F                                                 = 5.00*10^3 capacitive reactance is X_C = 1/ 2 f C                                               = 1/ 2 *300000Hz *  0.001 *10^-6 F                                                 = 5.30*10^2                   X_L = 2fL                            = 2 * 300000H * 25*10^-3 H                                                   = 47.1*10^3 capacitive reactance is X_C = 1/ 2 f C                                               = 1/ 2 *3000Hz *  0.001 *10^-6 F                                                 = 5.30*10^4    capacitive reactance is X_C = 1/ 2 f C                                               = 1/ 2 *31830Hz *  0.001 *10^-6 F                                                 = 5.00*10^3 capacitive reactance is X_C = 1/ 2 f C                                               = 1/ 2 *300000Hz *  0.001 *10^-6 F                                                 = 5.30*10^2                                               = 1/ 2 *31830Hz *  0.001 *10^-6 F                                                 = 5.00*10^3 capacitive reactance is X_C = 1/ 2 f C                                               = 1/ 2 *300000Hz *  0.001 *10^-6 F                                                 = 5.30*10^2                                               = 1/ 2 *300000Hz *  0.001 *10^-6 F                                                 = 5.30*10^2    

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