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### 127-9 Resonance

Course: PHY PHY126, Spring 2009
School: SUNY Stony Brook
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Word Count: 515

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127 PHYSICS EXPERIMENT NO. 9 RESONANCE In this experiment, we observe the response of a series RLC circuit when it is driven by a sinusoidal voltage whose frequency can be adjusted. A. Equipment 1 Oscilloscope, 1 Function Generator, 1 Inductance Coil, 1 Decade Resistance Box, 1 Decade Capacitance Box, 1 Frequency Counter. B. Method We use a dual-trace oscilloscope to monitor the input voltage applied to the...

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127 PHYSICS EXPERIMENT NO. 9 RESONANCE In this experiment, we observe the response of a series RLC circuit when it is driven by a sinusoidal voltage whose frequency can be adjusted. A. Equipment 1 Oscilloscope, 1 Function Generator, 1 Inductance Coil, 1 Decade Resistance Box, 1 Decade Capacitance Box, 1 Frequency Counter. B. Method We use a dual-trace oscilloscope to monitor the input voltage applied to the series RLC circuit (channel 1) and simultaneously observe the voltage across parts of the circuit on channel 2. By triggering the scope from the channel 1 input, we can determine the relative phase relationships of the voltages appearing across each circuit element. to Oscilloscope Channel 1 Oscillator 5 kHz Sine W aves Frequency Counter 12345 1 C L R to Oscilloscope Channel 2 Figure 1. Circuit Configuration. C. Procedure Connect the circuit shown in Figure 1. Adjust the resistance box R to 50 and the capacitance box C to 0.1 F. Set the oscilloscope for dual trace operation and trigger from channel 1. Be sure all vertical sensitivity and time base controls are in the "calibrated" position. Set the oscillator for maximum amplitude 5 kHz sine waves. Now adjust the frequency of the oscillator until the voltage across R is maximum. This is the resonance frequency. Q1. At what frequency should the maximum occur? Use the value obtained last week for L to answer this question. Keeping the frequency and everything else the same, interchange the resistor and capacitor, so that channel 2 now shows the voltage across the capacitor. Q2. What is the phase of the capacitor voltage relative the to input voltage at resonance? Q3. What is the amplitude of the capacitor voltage at resonance? Is it larger than the input voltage? Still keeping the frequency the same, interchange the capacitor and the inductor so that channel 2 of the oscilloscope now shows the voltage across the inductor. Q4. What is the phase of the inductor voltage relative to the input voltage at resonance? Q5. What is the phase of the inductor voltage relative to the capacitor voltage at resonance? Q6. What is the amplitude of the inductor voltage at resonance? Is it larger than the input voltage? Q7. Explain how it is possible for the inductor and capacitor voltages to be larger than the input voltage. To Channel 1 R To Oscillator L C To Channel 2 To Scope Ground Figure 2. Measurement of Voltage across L-C combination. Reconnect the channel 2 lead so that the scope measures the voltage across the L-C series combination as shown in Figure 2. Q8. At resonance, what is the voltage and phase across the L-C combination relative to the input voltage? What connection does this have to question 7? Now connect the circuit as shown in figure 3. To Channel 1 L To Oscillator C To Channel 2 R To Scope Ground Figure 3. Measurement of Resistor Voltage. Measure and record the voltage across the resistor for at least 8 frequencies above and below resonance. Use R=50 and C=0.1 F. Q9. Plot the voltage across the resistor as a function of frequency. This is called a resonance curve. Repeat the above procedure with R=10 and C=0.1 F. Q10. Make a similar plot as in Q9 and comment on any difference you may observe.
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