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chapter33_2 - Review on R L C and RLC in AC circuits An AC...

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Review on R , L , C and RLC in AC circuits An AC power source is a sinusoidal voltage source which is described as ( 29 max v V sin t ϖ = v max V We study the current i as a function of time when a resistor, inductor, capacitor or the serial connection of the three, to the AC voltage source. ( 29 i t When resistance is involved,
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Laws to apply Current i Phase w/ Phasor diag. Power R Ohm’s Law In phase or L Kirchhoff’s Loop leads, or No power is consumed. C Kirchhoff’s Loop leads, or No power is consumed. RLC Kirchhoff’s Loop To be discussed today ( 29 max v V sin t ϖ = v ( 29 max i I sin t ϖ = 0 φ = av rms rms p V I = 2 max rms V V = 2 max rms I I = max max V I R = ( 29 2 max i I sin t π ϖ = - max max L L V I ,X L X ϖ = = 2 π φ = v ( 29 2 max i I sin t π ϖ = + 1 max max C C V I ,X X C ϖ = = i 2 π φ = - Assuming AC voltage source: ( 29 max i I sin t ϖ φ = - ( 29 2 2 L C Z R X X = + - L C X X tan R φ - = max max V I Z =
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Power discussion of RLC in an AC circuit ( 29 max v V sin t ϖ =
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