31. Alternating Current

Series LRC Circuits

Phasor Diagram of Series RLC Circuit

Calculating Impedance, Supply Current and Voltages in Series RLC Circuit

An inductor, a capacitor, and a resistor are in series with an AC source. If the capacitor is 470 nF, the inductor is <math display='inline'><mrow><mn>24</mn><mo rspace="thickmathspace">&#x2062;</mo><mi mathvariant="normal" class="MathML-Unit">mH</mi></mrow></math>, and the resistor is 800 Ω<math display='inline'><mrow><mn>800</mn><mo rspace="thickmathspace">&#x2062;</mo><mo mathvariant="normal" class="MathML-Unit">&#x03A9;</mo></mrow></math>, what is the circuit’s resonant (angular) frequency?

An inductor, a capacitor, and a resistor are in series with a <math display='inline'><mrow><mn>300</mn><mo rspace="thickmathspace">&#x2062;</mo><mi mathvariant="normal" class="MathML-Unit">Hz</mi></mrow></math> AC source. If the capacitor is <math display='inline'><mrow><mn>470</mn><mo rspace="thickmathspace">&#x2062;</mo><mi mathvariant="normal" class="MathML-Unit">nF</mi></mrow></math>, the inductor is <math display='inline'><mrow><mn>24</mn><mo rspace="thickmathspace">&#x2062;</mo><mi mathvariant="normal" class="MathML-Unit">mH</mi></mrow></math>, and the resistor is <math display='inline'><mrow><mn>800</mn><mo rspace="thickmathspace">&#x2062;</mo><mo mathvariant="normal" class="MathML-Unit">&#x03A9;</mo></mrow></math>, what is the impedance?

a) i = 1.25A b) VR = 25V c) VL = 100V d) 4.7V

a) i = 0.89A b) VR = 17.8V c) VL = 71.2V d) 3.4V

a) i = 0.85A b) VR = 17V c) VL = 68V d) 3.2V

a) i = 1.20A b) VR = 24V c) VL = 96V d) 4.5V

An AC source operates at an RMS voltage of 70 V and a frequency of 85 Hz. If the source is connected in series to a 20 Ω resistor, a 0.15 H inductor and a 500 µF capacitor, answer the following questions:&nbsp;a) What is the maximum current produced by the source?&nbsp;b) What is the maximum voltage across the resistor?&nbsp;c) What is the maximum voltage across the inductor?&nbsp;d) What is the maximum voltage across the capacitor?

RLC Circuits (12 of 19) Series RLC; Calculating Impedance, Current and Voltage

Series RLC Circuit

Phasors Example (With resistor, inductor and capacitor)

AC Analysis: Series Resistor/Inductor/Capacitor Circuit

An inductor, a capacitor, and a resistor are in series with a <math display='inline'><mrow><mn>300</mn><mo rspace="thickmathspace">&#x2062;</mo><mi mathvariant="normal" class="MathML-Unit">Hz</mi></mrow></math> AC source with peak voltage 13 V<math display='inline'><mrow><mn>13</mn><mo rspace="thickmathspace">&#x2062;</mo><mi mathvariant="normal" class="MathML-Unit">V</mi></mrow></math>. If the impedance of the circuit is <math display='inline'><mrow><mn>3.4</mn><mo rspace="thickmathspace">&#x2062;</mo><mo mathvariant="normal" class="MathML-Unit">&#x03A9;</mo></mrow></math>, what is the peak current?

RLC Circuits (3 of 19) Resistance; Phase Shift, Phasor Diagrams, Impedance, An Explanation

An inductor, a capacitor, and a resistor are in series with a <math display=“inline”><mrow><mrow><mn>300</mn><mo rspace="thickmathspace">&#x2062;</mo><mi mathvariant="normal" class="MathML-Unit">Hz</mi></mrow></mrow></math> AC source. If the capacitor is <math display=“inline”><mrow><mn>470</mn><mtext>&#x00A0;</mtext><mtext>nF</mtext></mrow></math>, the inductor is <math display=“inline”><mrow><mn>24</mn><mtext>&#x00A0;</mtext><mtext>mH</mtext><mo>,</mo></mrow></math> and the resistor is <math display=“inline”><mrow><mn>800</mn><mtext>&#x00A0;</mtext><mo>&#x03A9;</mo></mrow></math>. what is the impedance?

LRC Circuits in Series

An inductor, a capacitor, and a resistor are in series with an AC source. If the capacitor is <math display=“inline”><mrow><mn>470</mn><mtext>&#x00A0;</mtext><mtext>nF</mtext></mrow></math>, the inductor is <math display=“inline”><mrow><mn>24</mn><mtext>&#x00A0;</mtext><mtext>mH</mtext></mrow></math>, and the resistor is <math display=“inline”><mrow><mn>800</mn><mtext>&#x00A0;</mtext><mo>&#x03A9;</mo></mrow></math>. what is the circuit’s resonant frequency?

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