Wires A and B, having equal lengths of 43.3 m and equal diameters of 2.89 mm, are connected in series. A potential difference of 63.3 V is applied between the ends of the composite wire. The resistances are RA = 0.112Q and Rg = 0.639 Q. For wire A, what are (a) magnitude J of the current density and (b) potential difference V? (c) Of what type material is wire A made (see the table helow)? For

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Wires A and B, having equal lengths of 43.3 m and equal diameters of 2.89 mm, are connected in series. A potential difference of 63.3 V
is applied between the ends of the composite wire. The resistances are RA = 0.112Q and Rg 0.639 Q. For wire A, what are (a)
magnitude J of the current density and (b) potential difference V? (c) Of what type material is wire A made (see the table below)? For
wire B, what are (d) J and (e) V? (f) Of what type material is B made?
Resistivities of Some Materials at Room Temperature (20°C)
Resistivity, p
(N-m)
Temperature Coefficient
of Resistivity, a (K-')
Material
Typical Metals
Silver
4.1 x 10-3.
4.3 x 10-
1.62 x 10-8
Copper
Gold
1.69 x 10-8
2.35 x 10-
2.75 x 10-8
4.82 x 10-8
4,0 x 10-3
4.4 x 10-3
Aluminum
Manganin
Tungsten
Iron
0.002 x 10-3
4.5 x 10-3
6,5 x 10-3
5.25 x 10-8
9.68 x 10-8
10.6 x 10-8
Platinum
3.9 x 10-3
Typical Semiconductors
2.5 x 10?
Silicon, pure
Silicon, n-type
Silicon, p-type
–70 × 10-3
8.7 x 104
2.8 x 10-3
Typical Insulators
1010 – 1014
Glass
Fused quartz
-1016
"An alloy specifically designed to have a small value of a.
Pure silicon doped with phosphorus impurities to a charge carrier density of 10" m-.
"Pure silicon doped with aluminum impurities to a charge carrier density of 102m.
(a) JA = Number i
Units
%3D
(b) VA = Number i
Units
%3D
(c)
(d) Jg = Number i
Units
leV-Number :
Units
Transcribed Image Text:Wires A and B, having equal lengths of 43.3 m and equal diameters of 2.89 mm, are connected in series. A potential difference of 63.3 V is applied between the ends of the composite wire. The resistances are RA = 0.112Q and Rg 0.639 Q. For wire A, what are (a) magnitude J of the current density and (b) potential difference V? (c) Of what type material is wire A made (see the table below)? For wire B, what are (d) J and (e) V? (f) Of what type material is B made? Resistivities of Some Materials at Room Temperature (20°C) Resistivity, p (N-m) Temperature Coefficient of Resistivity, a (K-') Material Typical Metals Silver 4.1 x 10-3. 4.3 x 10- 1.62 x 10-8 Copper Gold 1.69 x 10-8 2.35 x 10- 2.75 x 10-8 4.82 x 10-8 4,0 x 10-3 4.4 x 10-3 Aluminum Manganin Tungsten Iron 0.002 x 10-3 4.5 x 10-3 6,5 x 10-3 5.25 x 10-8 9.68 x 10-8 10.6 x 10-8 Platinum 3.9 x 10-3 Typical Semiconductors 2.5 x 10? Silicon, pure Silicon, n-type Silicon, p-type –70 × 10-3 8.7 x 104 2.8 x 10-3 Typical Insulators 1010 – 1014 Glass Fused quartz -1016 "An alloy specifically designed to have a small value of a. Pure silicon doped with phosphorus impurities to a charge carrier density of 10" m-. "Pure silicon doped with aluminum impurities to a charge carrier density of 102m. (a) JA = Number i Units %3D (b) VA = Number i Units %3D (c) (d) Jg = Number i Units leV-Number : Units
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