%3Cp%3E%3Cspan%20style%3D%22font-family%3A%26nbsp%3Bverdana%2C%26nbsp%3Bhelvetic
ID: 2279079 • Letter: #
Question
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/ Answer
1.
a)
I=V/R =50*10^-3/1.3*10^10
I=3.846*10^-12 A
b)
Q=I*t =3.846*10^-12*1.3
Q=5*10^-12 C
N=Q/e =5*10^-12/(1.6*10^-19)
N=3.125*10^7 Na+ ions
2)
t=1 min =(1/60 )hour
P=V^2/R =120^2/12
P=1200 W=(1200/1000)
P=1.2 KW
E=P*t =1.2*(1/60)
E=0.02 KWH
if u need in joules
E=0.02*(3.6*10^6)
E=72000 J or 72 KJ
3)
a)
Area
Aa =2Lo*Lo =2Lo^2 =2*0.0375 ^2 =2.8125*10^-3 m^2
Ab= 4Lo*2Lo =8Lo^2 =0.01125 m^2
Ac =4Lo*Lo =4Lo^2 =5.625*10^-3 m^2
so resistances are
R=pL/A
Ra =(1.5*10^-2)(4*0.0375)/(2.8125*10^-3)
Ra=0.8 ohms
Rb=(1.5*10^-2)(0.0375)/0.01125)
Rb=0.05 ohms
Rc=(1.5*10^-2)(2*0.0375)/(5.625*10^-3)
Rc=0.2 ohms
so
a)
Ra =0.8 ohms
Rb=0.05 ohms
Rc=0.2 ohms
b)
Currents are
Ia =V/Ra =3/0.8 =3.75 A
Ib=V/Rb =3/0.05=60 A
Ic=V/Rc =3/0.2 =15 A
4)
Resistance of hot wire
R=220/1.6 =137.5 ohms
Reistance at 20 C is
R=Ro[1+a*(T-To)]
137.5 =Ro[1+4.5*10^-3*(1380-20)]
Ro =19.31 ohms
Area
A=pir^2 =pi*(0.07*10^-3)^2
A=1.54*10^-8 m^2
for tungsten resistivity is
p=5.6*10^-8 ohm-m
Ro=pL/A
19.31 =(5.6*10^-8)*L/(1.54*10^-8)
L=5.31 m
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