# 5 rlc underdamped response the critically damped

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Unformatted text preview: e 560Ω resistor will have current passing through it. The amplitude Vo/RC is an initial condition and due to the explanation above should only include resistance that is affecting the circuit initially. 5. RLC Underdamped Response. The critically damped response is very accurately modeld by equation (4). The only discrepancy is our measured data is slightly shifted upward relative to the predicted response curve. This could very likely be the result of the voltage across the inductor due to its resistance which is not accounted for in equation (4). This is also evident as approaches ∞ because the measured voltage does not approach zero while equation (4)'s curve does as it should. Labeld on the curve is the maximum voltage produced by the response. 6. Inductor Series Resistance Effects. In the RL and Under damped RLC circuits the inductor resistance does not have a prominent effect. This is because an inductor resistance of 2.32Ω is a small fraction of the total resistance in the circuit (554.2Ω + 2.32Ω). It is Its effects are noticeable as time goes to ∞ because the inductor is suppose to be acting as a short circuit. An ideal inductor would have zero voltage across it so Vout=0 as time goes to ∞, but with a small resistance there will always be some voltage across the inductor as long as current is running through it. In the critically damped RLC circuit This small inductor resistance has a more more noticable effect. The equivalent resistance of the circuit is 55.608Ω so the small resistance of the inductor is larger fraction of this. It is actually noticable on the RLC Critically Damped Response graph above as time goes on. The predicted curve approaches zero because of equation (4)'s properties but The measured data shows a small constant voltage that may be a result of the voltage across the resistive inductor 7. Role of Parallel 50 Load. The 50Ω load is placed in parallel with the circuit so the function generator can accurately output the desired voltage to any circuit applied as a load. Being in parallel, it will not affect any of the voltages across the circuits elements. -1 Page 1 of 7 Record Length 2500 Points Sample Interval 4.00E­07 s Trigger Point 969.999953 Samples ­0.000388 0 0 Trigger Point Probe Atten CH2 Volts 0 Vertical Offset ­0.000384 0 Horizontal Units ­0.0003836 ­0.0003832 0 Pt Fmt 0 ­0.0003828 0 Yzero 10 ­0.0003824 TDS 1002C­EDU ­ 11:42:41 AM 9/26/2012 ­0.0003816 ­0.0003812 0 Vertical Scale 0.0001 Y 0 0 0.04 Probe Atten 0.04 0.044 ­0.0003856 0.044 ­0.0003852 0.046 5.00E­02 ­0.0003848 0.048 ­0.076 ­0.0003844 0.048 ­0.000384 0.05 s Horizontal Scale 0 0 0.036 0.036 0.038 ­0.000386 Source Vertical Units ­0.0003848 ­0.0003844 ­0.000382 Note ­0.000388 ­0.0003876 ­0.0003864 0 0 0 ­0.0003872 ­0.0003868 0 ­0.0003856 ­0.0003852 1 2 s Horizontal Scale Pt Fmt 4.00E­07 s 969.999953 Samples 0 0 ­0.000386 Yzero 2500 Points Sample Interval 0 ­0.0003868 CH1 Volts Vertical Scale Vertical Offset H...
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## This note was uploaded on 01/22/2014 for the course ECE 2100 taught by Professor Kelley/seyler during the Fall '05 term at Cornell University (Engineering School).

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