EECS 40 RC Circuits 1EECS 40 Pre-Lab: RC Circuits Name: _______________________________ TA: __________________Section: _______________ Please read the lab manual first then show your work here. V = Q/C = [ ∫ i(t)dt ] / C Differentiating this equation, we obtain i(t) = C(dV/dt) 1. If a constant current of 1.0 mA were to flow into a 200 µF (microfarad) capacitor, what would be the voltage across the capacitor after 3 seconds? 2. Describe what would happen theoretically if you were to connect an ideal current source to the following circuits. Use time plots of the voltage across the capacitor and the resistor to illustrate. a) C REECS 40 RC Circuits 2b) RC 3. An RC (resistor + capacitor) circuit will have an exponential voltage response of the form v(t) = A + B e-t/RC where A and B are constants that express the final voltage and the difference between the initial voltage and the final voltage, respectively. a. Given R = 10 kΩ and C = 0.1 µF, a starting voltage of 5 Volts and an ending voltage of 0 Volts, what will the voltage be at t = 1 ms? b. At what time will the voltage be 0.5 Volts? 4. Suppose you were given two black boxes, which have either a series or parallel combination of R and C. In the case of the series RC, you would not be able to touch a probe between the R and the C in the black box, so how would you go about determining R and C using the signal generator, the oscilloscope and an external resistance? (Hint: read the
View Full Document
Unlocking...