A series RCL circuit contains only a capacitor ( C =8.80 µF), an inductor ( L =4

Question

A series RCL circuit contains only a capacitor (C =8.80 µF), an inductor (L =4.30 mH), and a generator (peak voltage = 64.0 V, frequency = 1.00* 103 Hz). When t = 0 s, the instantaneousvalue of the voltage is zero, and it rises to a maximum one-quarterof a period later. (a) Find the instantaneous value of the voltageacross the capacitor/inductor combination when t = 1.50 *10-4 s. (Hint: The instantaneous values of the voltageand current are, respectively, the vertical components of thevoltage and current phasors.)
1 V

(b) What is the instantaneous value of the current when t= 1.30 * 10-4s?
2                       A
(a) Find the instantaneous value of the voltageacross the capacitor/inductor combination when t = 1.50 *10-4 s. (Hint: The instantaneous values of the voltageand current are, respectively, the vertical components of thevoltage and current phasors.)
1 V

(b) What is the instantaneous value of the current when t= 1.30 * 10-4s?
2                       A

Explanation / Answer

A) the instantaneous value of the voltage across thecapacitor/inductor combination when t = 1.50 *10-4 s. IS                      VL = Vp sin (t )                           = Vp sin (2f t )                  Substitute values and solve forVL Where                    L = 4.30 mH                    f = = 1.00 * 103 Hz                    C = C = 8.80 µF                    Vp = 64.0 V                    t = 1.50 * 10-4 s b) The instantaneous value of the current when t =1.30 * 10-4 sis                                  IL = Io sin (2f t - /2 ) Where      Io =VL / XL                             = VL / 2 f L Substitute values.

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