7.2.2 Resistance as a function of Area
1.
2.
3. The relationship that yields an approximately linear relationship is the one
where the inverse of the crosssectional area is taken. Thus the relationship
between R and A is inversely related.
7.2.3 Exercise
If the wire is stretched then that means that the crosssectional area is
decreases. This means that the inverse of the area is going to be larger, thus
affecting the resistance, which will be larger also.
7.3.2 Current as a Function of Resistance
1.
2.
3. By analyzing both functions it is possible to determine that the
relationship that exist between I and R is that they are inversely
related.
7.4.1 A Series Circuit
1. I’ = V/(R
1
+R
2
+R
3
)
I’ = 12.15V/(103.5
Ω
+200
Ω
+304
Ω
)
I’=0.02A=20mA
V
i
’ = I’R
i
V
1
’=(0.02A)(103.5
Ω
)=2.07V
V
2
’=4V
V
3
’=6.08V
2. Percent differences (abs(II’)/I’) x 100%
(abs( 20mA20mA)/20mA)x100%=0%
Percent difference. (abs(V
i
 V
i
’)/ V
i
’)x100%
V
1
=(abs(2.062.07)/2.07)x100%=0.48%
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 Spring '08
 Schwitters
 Physics, Resistance, Resistor, Electrical resistance, Series and parallel circuits

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