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11-10-11 Step Response of RC and RL Circuits

Question 3 do you think the current in a capacitor

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Question 3. Do you think the current in a capacitor can change instantaneously? Explain. The current in a capacitor cannot change instantaneously as this would require a dramatic change in voltage, which was established to be impossible. Figure 5. A circuit with . Its time constant is ten times less than the original circuit
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Figure 6. The measurements from the simulated oscilloscope, for this second circuit II. RL Circuit This portion was very similar to the previous, except we used a 1000μH inductor instead of a capacitor. As such, the same basic format will be used. It is of note that the exact same function was used in this procedure as the previous. Figure 7. The RL circuit for part 2.
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Figure 8. The measurements from the simulated oscilloscope, with the second cursor at . Figure 9. The graph from the real oscilloscope Question 4. Explain why you are seeing these voltage spikes. The voltage spikes on Channel 1 of the oscilloscope exist because the inductor generates a large voltage when switched. After we were able to get the circuit’s input and capacitor voltages on the oscilloscope, we managed to find the following values. Table 1. The values of the capacitor voltage measured with the real oscilloscope. () () Measured () Calculated () Percent Difference 1.34 0.847 10.00 9.90 1.01% Figure 10. A graph of voltage and time, showing the exponential increase of voltage across the resistor. Question 5. What is the steady state value of the output voltage? Why? The steady state value of the capacitor voltage was measured to be 1.34V. This is because the inductor voltage has a seemingly slower build-up, while the voltage across the resistor followed the same rules as the previous section.
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Question 6.
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