Julia Bielaski
0163140
Lab Report #3
PH 327
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Objective
:
In this lab, two special cases of the LCR circuit were analyzed.
The first case looked at a
RC circuit and the second case looked at a RL circuit. In both the corresponding voltages were
recorded at varying frequencies using a multimeter.
The two voltages and the
ε
m
were measured
also by a scope.
The concept of phasors can be applied to the data retrieved from this
experiment.
Method
:
RL Circuit (X
C
=0)
1)
X
L
=
ϖ
L, to include R
L
, X
L
X
L
′
2)
φ
=phase between
ε
and V
RM
φ
=tan
1
(X
L
′
/R)
3)
z
LR
=
√
(X
L
′
2
+R
2
)=total impedance of LR circuit
4)
r
m
2
=V
LM
2
+V
RM
2
I
m
=V
CM
/ X
C
=V
RM
/ R
(V
CM
/ V
RM
)R=X
C
=1/
ϖ
C=1/2
π
fC
[(V
CM
/
√
2) / (V
RM
/
√
2)]R=(1/f)(1/2
π
C)+0
RC Circuit (X
L
=0)
1)
X
C
=1/
ϖ
C
2)
φ
=phase between
ε
m
and V
LCR
φ
=tan
1
(X
C
/R)
3)
z
RC
=
√
(X
C
2
+R
2
)=total impedance of RC circuit
4)
ε
m
2
=V
CM
2
+V
RM
2
I
m
=V
LM
/X
L
′
=V
RM
/R
(V
LM
/ V
RM
)R=X
L
′
=
√
(R
L
2
+(
ϖ
L)
2
)
(V
LM
R/ V
RM
)
2
=R
L
2
+(
ϖ
L)
2
=R
L
2
+(2
π
L)
2
f
2
(V
LM
R/ V
RM
)
2
=(2
π
L)
2
f
2
+R
L
2
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 Spring '10
 Roy
 Physics, RC circuit, RL circuit, LC circuit, 2 L, 1.76%

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