PHY 201 - Lab05 - RC Circuit

PHY 201 - Lab05 - RC Circuit - II. Introduction

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II. Introduction This laboratory objective is to investigate the behavior of  capacitors and resistors behavior in a RC circuit. For this purpose, a  Science Workshop interface will be use to find the relationship  between the voltage remaining across a capacitor and the time taken  the capacitor to charge and discharge. These data will be used to  calculate the time constant based on the capacitance and resistance  of the circuit. The half life is the time it takes to charge the capacitor  to half full. We will compare the measured value of half life to the  theoretical value to find out the percent error. III. Theory and Method of Investigation When a capacitor is charged through a resistor by a DC voltage source, the charge in the capacitor and the voltage across the capacitor will increase with time. The voltage V as a function of time t is given by: V(t) = Vs(1 - e^(-t/RC)) and the charge: q(t) = qMax(1 - e^(-t/RC)) with the exponential e = 2.718 as the base of natural logarithm and Vs as the voltage of the source . The quantity RC = τ (Tau) is known the time constant . The curve of the voltage rises during the charging process. At time t = τ =RC (one time constant), the voltage across the capacitor
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PHY 201 - Lab05 - RC Circuit - II. Introduction

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