NameThe voltage on the capacitor when it is connected to a resistor R follows an exponential rule:Section #capacitor is gradually released as current in the circuit. The energy stored in the capacitor is dissipated in thePre-lab EM-7Voltage on a capacitor in an RC Circuitcapacitonarged capacitor (at potential Vo) is connected in series with a resistor, the charge stored in theresistor as heat.= Vge(1)where t is the time constant, 1= RC. Vo is the initial voltage on the capacitor when 7= 0.cironpacitance is 220 µF, and the time constant t is 22 seconds, what is the value of the resistance in thecircuit?R =In the capacitor is charged to a voltage Vo = 20 V. use this initial value and time constant 22 s to calculate thevotage on the capacitor in the circuit at every 5 seconds, List the results in the following table.time t (s)Voltage V (V)V/VoIn (V/Vo)101520253035404550After the voltage values are calculated, calculate the ratio of V/Vo and In ( V/Vo).EM-7P.1November 28, 2017 If we plot voltage Vas a function of time t, what kind of curve do you expect? (circle one)an exponential curvea straight linePlot the voltage on the capacitor Vas a function of time t on one of the graphing pages. What kind of curvedo you have? (circle one)an exponential curvea straight lineFrom V= V e¯", we can write V/Vo= et Then the natural logarithm of V/Vo isV.In Vo(2)If we plot "In (V/Vo)" in a graph as a function of time t, what kind of curve do you expect? (circle one)an exponential curvea straight lineNow plot In (V/Vo) as a function of time on the next graphing page. Plot " In (V/Vo )" on the vertical axis,and "t" on the horizontal axis. What do you see? (circle one)an exponential curvea straight lineThe slope of the line is (circle one)positivenegativeThe equation of a straight line is:y= mx + b(3)In your graph, what is y? and what is x?y isx isNow compare Equations (2) and (3). For the graph In (V/Vo ) versus t,b ism is(Do not put a number here).Calculate the slope of the line.m =Is.Calculate the time constant t from the slope m.ovember 28, 2017EM-7P.2

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