Wires A and B, having equal lengths of 40.0 m and equal diameters of 2.94 mm, are connected in series. A potential difference of 62.9 V is applied between the ends of the composite wire. The resistances are RA = 0.0996 Q and Rg = 0.570 Q. For wire A, what are (a) magnitudeJ of the current density and (b) potential

Principles of Physics: A Calculus-Based Text
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Chapter21: Current And Direct Current Circuits
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Problem 15P: If the current carried by a conductor is doubled, what happens to (a) the charge carrier density,...
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Wires A and B, having equal lengths of 40.0 m
and equal diameters of 2.94 mm, are connected
in series. A potential difference of 62.9 V is
applied between the ends of the composite
wire. The resistances are RA = 0.0996 Q and RB
= 0.570 2. 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
4.1 x 10-3
4.3 x 10-3
Silver
1.62 x 10-8
Copper
1.69 × 10-8
4.0 x 10-3
4.4 x 10-3
Gold
2.35 x 10-8
Aluminum
2.75 x 10-8
Manganin"
Tungsten
Iron
4.82 x 10-8
0.002 x 10-3
5.25 x 10-8
4.5 x 10-3
6.5 x 10-3
3.9 × 10-3
9.68 x 10-8
Platinum
10.6 x 10-8
Typical Semiconductors
2.5 x 103
Silicon, pure
Silicon, n-type
Silicon, p-type
-70 x 10-3
8.7 x 10-4
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 1023 m-3.
"Pure silicon doped with aluminum impurities to a charge carrier density of 1023 m-.
Transcribed Image Text:Wires A and B, having equal lengths of 40.0 m and equal diameters of 2.94 mm, are connected in series. A potential difference of 62.9 V is applied between the ends of the composite wire. The resistances are RA = 0.0996 Q and RB = 0.570 2. 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 4.1 x 10-3 4.3 x 10-3 Silver 1.62 x 10-8 Copper 1.69 × 10-8 4.0 x 10-3 4.4 x 10-3 Gold 2.35 x 10-8 Aluminum 2.75 x 10-8 Manganin" Tungsten Iron 4.82 x 10-8 0.002 x 10-3 5.25 x 10-8 4.5 x 10-3 6.5 x 10-3 3.9 × 10-3 9.68 x 10-8 Platinum 10.6 x 10-8 Typical Semiconductors 2.5 x 103 Silicon, pure Silicon, n-type Silicon, p-type -70 x 10-3 8.7 x 10-4 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 1023 m-3. "Pure silicon doped with aluminum impurities to a charge carrier density of 1023 m-.
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