Question

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
Expert Solution

This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by stepSolved in 2 steps with 2 images

Knowledge Booster
Similar questions
- A rear window defroster consists of a long, flat wire bonded to the inside surface of the window. When current passes through the wire, it heats up and melts ice and snow on the window. For one window the wire has a total length d = 11.6 m , a width a = 1.8 mm, and a thickness w = 0.11 mm. The resistivity of the metal is ρ = 2.6 × 10^−8Ωm. The wire is connected to the car’s 12.0 V battery. (a) What is the current flowing through the wire? (b) What is the power of the window defroster?arrow_forwardKiting during a storm. The legend that Benjamin Franklin flew a kite as a storm approached is only a legend — he was neither stupid nor suicidal. Suppose a kite string of radius 2.10 mm extends directly upward by 0.802 km and is coated with a 0.520 mm layer of water having resistivity 155 Ω·m. If the potential difference between the two ends of the string is 176 MV, what is the current through the water layer? The danger is not this current but the chance that the string draws a lightning strike, which can have a current as large as 500 000 A (way beyond just being lethal).arrow_forwardA copper wire of radius a = 0.240 mm has an aluminum jacket of outer radius b = 0.329 mm. There is a current i = 1.57 A in the composite wire. Take the resistivity for copper and aluminum to be 1.69 × 10-8Ω·m and 2.75 × 10-8Ω·m. Calculate the current in (a) the copper and (b) the aluminum. (c) If a potential difference V = 13.1 V between the ends maintains the current, what is the length in meters of the composite wire?arrow_forward
- A lightning rod on top of a building consists of an iron spike 1.5 m long with a circular crosssection of diameter 1.5 cm. During a lightning strike, the rod carries a current of 1000 A. What is the potential difference across the rod when this current flows? The resistivity of iron is 1.0 x 10-7 Ωm.arrow_forwardA wire 3.43 m long and 6.38 mm in diameter has a resistance of 11.6 mQ. A potential difference of 17.7 V is applied between the ends. (a) What is the current in amperes in the wire? (b) What is the magnitude of the current density? (c) Calculate the resistivity of the material of which the wire is made. (a) Number Units (b) Number i Units (c) Number i Units >arrow_forwardProblem 1. A 50.0 m long Aluminum wire has a diameter of 0.50 mm and is at 20.0°C. If it carries a current of 0.50 mA, (a) calculate the power delivered to it? (b) If the temperature is increased to 340°C and the potential difference across the wire remains constant, what is the power delivered?arrow_forward
- As part of a class project you are given 0.900 g of copper and asked to fabricate a wire with uniform cross-section. You use up 95% of the copper and make a wire with a resistance of 0.723 Ω. The resistivity of copper is 1.72 10-8 Ω · m and its density is 8.92 103 kg/m3. (a) What length of wire do you end up with? (m)(b) What is the diameter of the wire? (mm)arrow_forwardElectric current passing through a human body can be dangerous, even fatal, depending on the amount of current, the duration of the current, and the region of the body through which the current passes. However, currents less than about 0.5 mA are typically imperceptible. A current caused by a low potential difference typically travels through the outer layer of the skin. The resistance of the skin therefore determines how much current flows for a given potential difference. The resistance can be influenced by a number of factors, including whether the skin is wet or dry . For example, suppose an electric current of 89.0 µA follows a path through the thumb and index finger. When the skin is dry, the resistance along this path is 4.40 ✕ 105 Ω. What voltage (in V) is required for this current, in the case of dry skin? V When the skin is wet, the resistance is lowered to 1,950 Ω. What voltage (in V) is required for the same current, in the case of wet skin? Varrow_forwardWires A and B, having equal lengths of 41.8 m and equal diameters of 2.89 mm, are connected in series. A potential difference of 61.6 V is applied between the ends of the composite wire. The resistances are RA = 0.108 0 and Rg - 0.617 0. For wire A, what are (a) magnitude Jof 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) Jand (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- 1.62 x 10- 1.69 x 10- Silver 4.3 x 10- Copper Gold 4.0 x 10- 4.4 x 10- 0.002 x 10- 45 x 10- 6.5 x 10- 2.35 x 10 2.75 x 10- 4.82 x 10- 5.25 x 10- 9.68 x 10- 10.6 x 10- Aluminum Manganin Tungsten Iron Platinum 3.9 x 10- Typical Semiconductors 25 x 10 8,7 x 10- -70 x 10- Silicon, pure Silicon, n-type Silicon, p-type 2.8 x 10- Typical Insulators 10- 104 ~10M Glass Fused…arrow_forward
arrow_back_ios
arrow_forward_ios