exp04sol - MASSACHUSETTS INSTITUTE OF TECHNOLOGY Department...

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E04 Solutions-1 MASSACHUSETTS INSTITUTE OF TECHNOLOGY Department of Physics 8.02 Experiment 4 Solutions : RC Circuits Question 1: What is the resistance of the resistor? Using the two-point method, what is the time constant of this circuit? Using this time constant and the typical expression for an RC time constant, what is the capacitance of the capacitor? To measure the resistance just put the resistor across the battery leads and measure current for 1 V () 10 mA 100 R →= Ω . Using the two point method we randomly pick a first point on the decay (green cursor, V = 4.741 V) and then calculate 1/e of this (1.744 V). Put the second (red) cursor as close to this voltage as possible. This gives a time difference of τ = 10 ms. Using R = 100 Ω from above, C = τ / R = 100 μ F.
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E08 Solutions-2 Question 2: Using the logarithmic method, what is the time constant of this circuit? Using this time constant, what is the capacitance of the capacitor? For variety I measure the slope of the current, -0.098 ms -1 , (the voltage is the same) so: -1 1 1 10.2 ms 10.2 ms 102 μ F slope -0.098 ms
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This note was uploaded on 02/27/2011 for the course PHYSICS 8 taught by Professor Dourmashkin during the Fall '10 term at MIT.

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exp04sol - MASSACHUSETTS INSTITUTE OF TECHNOLOGY Department...

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