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A 1.6 mH inductor, a 9.0F capacitor, and a 3.0 resistor are connected in series.

ID: 1894235 • Letter: A

Question

A 1.6 mH inductor, a 9.0F capacitor, and a 3.0 resistor are connected in series. calculate angular frequency (0) at which the impedence (Z) is the least.                                                                                                         

if a voltage of V=20 Cos (t) is applied to this system, calculate the current function, including the phase shift that arises. calculate the peak voltages across each of these three components. Do this for the resonant frequency 0 and at half and double this frequency.

Calculate the power dissipated at each of these three frequencies.

Calculate the two frequencies when the amplitude of the current is half the amplitude at resonance. the difference between them is .

Calculate the Q of the circuit, given that Q = /

Explanation / Answer

It will be at the natural resonant frequency of the circuit: w0 = 1/sqrt(LC) = 1/sqrt((1.6e-3)(9e-6)) = 8333.33