Exp 8- capacitors in circuits, Analysis, Discussion – PASCO EM-8622 BASIC ELECTRICITY User Manual

Page 41: Procedure

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37

012-04367E

Basic Electricity

Analysis

First circuit:

node (1,3):

0.1 mA

node (1,2,5):

0.0 mA

node (3,4,5):

-0.1 mA

node (2,4):

0.0 mA

loop (1,5,3):

0.001 V

loop (1,2,4,3):

0.001 V

loop (5,2,4):

0.000 V

loop (batt,1,2):

0.001 V

loop (batt,3,4):

0.000 V

loop (batt,1,5,4):

0.001 V

loop (batt,3,5,2):

0.000 V

Second circuit:

node (2,3,4):

-0.1 mA

node (b1,3,5):

0.1 mA

loop (b1,1,2,3)

0.001 V

loop (b2,5,3,4)

0.001 V

loop (b1,1,2,4,b2,5)

0.002 V

Discussion

Within the experimental uncertainty of the measuring
device used (a DMM) Kirchoff’s Rules are verified. The
net current flowing into or out of any junction is approxi-
mately zero, and the sum of the voltages around any loop
is approximately zero.

Exp 8- Capacitors in Circuits

Procedure

The rate at which the capacitor loses its charge de-
pends on the impedance of the meter used to measure
the voltage, as well as on the size of the capacitor. For
this reason, most analog meters are not sufficient for
this lab.

Voltage

Time

Voltage

Time

Charging

Discharging

-11

1

1

1

1

Z

Z

Z

Z

0

20

40

60

80

100

120

140

0

50

100

150

200

250

300

350

400

450

Time (s)

Capacitance (µF)

1

100,000 Ohm

Z

220,000 Ohm

NOTES:

➀➁

Charging: t = - R C ln(1-V/V

o

)

Discharging: t = - R C ln(V/V

o

)

In either case, the time is linearly dependent on

both resistance and capacitance.

Parallel: C

p

= C

1

+ C

2

Series: 1/C

s

= 1/C

1

+ 1/C

2

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