Capacitors and RC circuits lab- PASCO EX-9953 1) What is the physical meaning of

Question

Capacitors and RC circuits lab- PASCO EX-9953

1) What is the physical meaning of the "Scale Factor" (A) from the Natural Exponent Fit?

2) What is the physical meaning of the "Exponent" (C) from the Natural Exponent Fit?

3) Refer to the diagram of the circuits. Draw/label a representative diagram for the first figure (on left) . For the second figure (on right), describe the role of the capacitor. Specifically, discuss the voltage across the capacitor while the capacitor is charging. IN CASE THE IMAGE DOES NOT SHOW UP THIS IS THE DIRECT LINK TO THE IMAGE! http://imgur.com/uN8fSz3

4. Further, discuss the current through the circuit while the capacitor is charging.

5. Refer to the data below. Calculate the time constants for all three runs:

6. Explain the role of time constant in an R-C circuit.

Explanation / Answer

1)   Physical meaning of the "Scale Factor" (A) is amount to which the amplitude value of the voltage , current , charge is scaled .

2)    physical meaning of the "Exponent" (C) shows how the amplitude value of the voltage , current , charge is decaying or increasing .

3)    Capacitor reverses its charges as the current alternates and produces a lagging voltage . Or, the capacitor once charged with the applied voltage acts as an open switch.

voltage across capacitor while charging

V = Vo * ( 1 - e-t/RC)

4)    The current through the circuit while the capacitor is charging.

=> I = Io * (e-t/RC)

5)    1) time constant = RC = 249 * 0.0937 = 23.3 sec

    2)   time constant = RC = 150 * 0.0311 = 4.665 sec

     3)   time constant = RC = 40.3 * 0.0105 = 0.423 sec

6)    Time Constant help to understand the time when the capacitor has got a decent amount of charge and after which the rate of charging becomes really slow . It takes infinite time to charge a capacitor. So, the time when the capacitor is 100% charged never comes .

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