When a charged capacitor (at potential Vo) is connected in series with a resistor, the charge stored in the resistator is gradually released as current in the circuit. The energy stored in the capacitor is dissipated in the as heat. The voltage on the capacitor when it is connected to a resistor R follows an exponential rule: (1) V = Voe where t is the time constant, = RC. Vo is the initial voltage on the capacitor when 7= 0. ciroutpacitance is 220 uF, and the time constant t is 22 seconds, what is the value of the resistance in the circuit? R- t the capacitor is charged to a voltage Vo =20 y, use this initial value and time constant 22 s to calculate the voltage on the capacitor in the circuit at every5 seconds. List the results in the following table. time t (s) Voltage V (V) V/Vo In (V/Vo) 10 15 20 25 30 35 40 45 50 After the voltage values are calculated, calculate the ratio of V/Vo and In ( V/Vo).
When a charged capacitor (at potential Vo) is connected in series with a resistor, the charge stored in the resistator is gradually released as current in the circuit. The energy stored in the capacitor is dissipated in the as heat. The voltage on the capacitor when it is connected to a resistor R follows an exponential rule: (1) V = Voe where t is the time constant, = RC. Vo is the initial voltage on the capacitor when 7= 0. ciroutpacitance is 220 uF, and the time constant t is 22 seconds, what is the value of the resistance in the circuit? R- t the capacitor is charged to a voltage Vo =20 y, use this initial value and time constant 22 s to calculate the voltage on the capacitor in the circuit at every5 seconds. List the results in the following table. time t (s) Voltage V (V) V/Vo In (V/Vo) 10 15 20 25 30 35 40 45 50 After the voltage values are calculated, calculate the ratio of V/Vo and In ( V/Vo).
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Transcribed Image Text:Name
The 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 the
Pre-lab EM-7
Voltage on a capacitor in an RC Circuit
capacitonarged capacitor (at potential Vo) is connected in series with a resistor, the charge stored in the
resistor 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 the
circuit?
R =
In the capacitor is charged to a voltage Vo = 20 V. use this initial value and time constant 22 s to calculate the
votage on the capacitor in the circuit at every 5 seconds, List the results in the following table.
time t (s)
Voltage V (V)
V/Vo
In (V/Vo)
10
15
20
25
30
35
40
45
50
After the voltage values are calculated, calculate the ratio of V/Vo and In ( V/Vo).
EM-7P.1
November 28, 2017
Transcribed Image Text:If we plot voltage Vas a function of time t, what kind of curve do you expect? (circle one)
an exponential curve
a straight line
Plot the voltage on the capacitor Vas a function of time t on one of the graphing pages. What kind of curve
do you have? (circle one)
an exponential curve
a straight line
From V= V e¯", we can write V/Vo= et Then the natural logarithm of V/Vo is
V.
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 curve
a straight line
Now 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 curve
a straight line
The slope of the line is (circle one)
positive
negative
The equation of a straight line is:
y= mx + b
(3)
In your graph, what is y? and what is x?
y is
x is
Now compare Equations (2) and (3). For the graph In (V/Vo ) versus t,
b is
m 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, 2017
EM-7P.2
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