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

Eq 2 the time constant for a given rc or rl circuit

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Eq 2. The time constant for a given RC or RL circuit.
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Procedure I. RC Circuit In this part of the experiment, we were asked to build the circuit in Figure 1, a simple RC circuit. Of note is the additional 50Ω resistor, this is the internal resistance of the function generator. After calculating the values by hand, we build the circuit with a 1kHz, 3Vp-p, square wave as the source voltage. Using the oscilloscope, we isolated one portion of the voltage wave across the capacitor and found its time constant through measurement. Figure 1. The RC circuit for part 1. Figure 2. The measurements from the simulated oscilloscope, with the second cursor at .
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Figure 3. The graph from the real oscilloscope 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 2.16 1.37 3.160 9.6 10.1 4.95% Figure 4. A graph of voltage and time, showing the exponential increase of voltage. Question 1. What is the steady state value of the capacitor voltage? Why? The steady state value of the capacitor voltage was measured to be 2.32V, close to the 3V maximum. This voltage will never reach the maximum, however, it will only ever get closer and closer. Question 2. Do you think the voltage across a capacitor can change instantaneously? Explain. The voltage across a capacitor cannot change instantaneously as the equation governing capacitors is . This would yield an infinite and thus an infinite current.
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