A series RCL circuit contains only a capacitor (C = 10.3 µF), an inductor (L = 6.39 mH), and a generator (peak voltage = 84.3 V, frequency = 6.28 x 10³ Hz). When t = 0s, the instantaneous value of the voltage is zero, and it rises to a maximum one-quarter of a period later. (a) Find the instantaneous value of the voltage across the capacitor/inductor combination when t = 4.48 x 10-4 s. (b) What is the instantaneous value of the current when t = 4.48 x 10-4 s? Be sure to include the plus and minus signs in the answers if applicable. (Hint: The instantaneous values of the voltage and current are the vertical components of the voltage and current phasors, respectively.) Note: The ac current and voltage are rms values and power is an average value unless indicated otherwise. (a) Number -77.7 (b) Number i 0.34 Units Units V A

University Physics Volume 2
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Chapter15: Alternating-current Circuits
Section: Chapter Questions
Problem 69CP: An RLC series circuit consists of a 50 resistor, a 200F capacitor, and a 120-mN inductor whose coil...
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A series RCL circuit contains only a capacitor (C = 10.3 µF), an inductor (L = 6.39 mH), and a generator (peak voltage =
84.3 V, frequency = 6.28 x 10³ Hz). When t = 0s, the instantaneous value of the voltage is zero, and it rises to a
maximum one-quarter of a period later. (a) Find the instantaneous value of the voltage across the capacitor/inductor
combination when t = 4.48 x 104 s. (b) What is the instantaneous value of the current when t = 4.48 x 10-4 s? Be sure to
include the plus and minus signs in the answers if applicable. (Hint: The instantaneous values of the voltage and current
are the vertical components of the voltage and current phasors, respectively.) Note: The ac current and voltage are rms values
and power is an average value unless indicated otherwise.
(a) Number -77.7
(b) Number i 0.34
Units
Units
V
A
Transcribed Image Text:A series RCL circuit contains only a capacitor (C = 10.3 µF), an inductor (L = 6.39 mH), and a generator (peak voltage = 84.3 V, frequency = 6.28 x 10³ Hz). When t = 0s, the instantaneous value of the voltage is zero, and it rises to a maximum one-quarter of a period later. (a) Find the instantaneous value of the voltage across the capacitor/inductor combination when t = 4.48 x 104 s. (b) What is the instantaneous value of the current when t = 4.48 x 10-4 s? Be sure to include the plus and minus signs in the answers if applicable. (Hint: The instantaneous values of the voltage and current are the vertical components of the voltage and current phasors, respectively.) Note: The ac current and voltage are rms values and power is an average value unless indicated otherwise. (a) Number -77.7 (b) Number i 0.34 Units Units V A
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