Week 6 Capacitors and Time Constants EE Practicum Lab Exercise Capacitors and Ti

Question

Week 6 Capacitors and Time Constants EE Practicum Lab Exercise Capacitors and Time Constants Home Lab Exercise: Become familiar with capacitors Video Teaching Assistant: Week 6- Capacitors Demo at University Lab: RC Time Constant Circuit Lab Notebook: Document Week 6 lab exercise and show to TA/Faculty member Part 1: Analysis 1. Calculate the RC time constant r for Figure 6.8 using the equations shown in the background section. Part 2: Experimental Build the circuit in Figure 6. 8 on your solderless breadboard. Generate a square wave with amplitude of 500 mV, offset of 500 mV, and frequency of 50 Hz using the AWG. 1. CH1 R1 C1 0.5v square 50 Hz CH1- Figure 6.8 RC Time Constant Cireuit 2. Click on Run AWG 1 to start AWGI. Acquire a screenshot of the capacitor charging and discharging. For our purpose, set the mode to Normal, keep the Source as Channel 1, and then set Cond. to Rising. Buffer doesn't need to be changed. Adjust the Level so the oscilloscope displays a stable signal. Adjust the time and/or base as well, if necessary, to obtain a screenshot that clearly shows the time constants for charging and discharging. Export an image of the waveform afterward. You should have something similar to the example in Figure 6.9

Explanation / Answer

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Part 1: Time constant of an RC circuit = (R*C) = (1K x 10-6) = 1ms.

Part 2.3 : Time constant for charging = time taken by output to reach 63% of final value (=0.63V) = 1.2 ms approx

Time constant for discharging = time taken by output to reach 36% of final value ( = 0.36V) = 1.2ms approx

Part 2.4: For a high frequency wave like 500Hz, note that the capacitor has minimum time to charge and discharge itself. This will result in the capacitor only partly charging, before the discharge cycle starts, with the result that the output wave will be highly distorted.

Question to think about: To implement a tiume delay, note that the RC circuit settles down to the final value of output at 5T, where T is the time constant of the circuit. Therefore, time delay = 5T = 5RC. Thus, if we want to have a time delay of 1 second, 5RC = 1 or RC = 0.2. Choose values of R and C accordingly.

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