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13. A series circuit consists of a 1. 50-mh inductor, a 125- ω resistor, and a 25. 0-nf capacitor connected across an ac source having an rms voltage of 35. 0 v and variable frequency

Respuesta :

a)The angular frequency when the current amplitude be equal to 1/3 of its maximum possible value is ω₁ = 64.752 krad/s.

b) The current amplitude and voltage amplitude across each element is

I =0.09333A

Vr = 11.667V

Vl = j9.06496V

Vc =-j57.6353 V

What is angular frequency?

Angular frequency measures how quickly an object oscillates with respect to time.

25nF = j40M/ω

a) jω(1.5m H) =j4M/ω

ω =163.2993 krad/s

Imax =35/125 =0.28A

0.009333 =35 /[125+jω(1.5m) - j40M/ω]

(125)² +[(15mω₁) - 40m/ω₁]² = 140625

15mω₁ ²-3535ω₁ - 40m =0

ω₁ = 64.752 krad/s

b) I =0.09333A

Vr =0.09333 x 123 = 11.667V

Vl = I(jω₁ x 1.5 m) = j9.06496V

Vc =-j57.6353 V

Learn more about angular frequency.

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