Answered: A 4.0 m length of gold wire is…

A 4.0 m length of gold wire is connected to a 1.5 V battery, and a current of 4.0 mA flows through it. What is the diameter of the wire? (The resistivity of gold is 2.44 × 10-8 Ω·m)

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter28: Current And Resistance

Section: Chapter Questions

Problem 67PQ

See similar textbooks

Related questions

Q: An electric space heater has a Nichrome heating element with a resistance of 9 N at 20°C. When 120 V…

Q: What is the resistance of a 7.4-mm length of copper wire 1.7 mm in diameter? The resistivity of…

A: Write the given information about the wire, l=7.4 mm=7.4×10-3 md=1.7 mm=1.7×10-3 mρ=1.68×10-8 Ω·m

Q: Consider a portable electric blanket that runs on a 4.5 V battery. If you use copper wire with a…

Q: A wire 3.00 m long and 0.450 mm2 in cross-sectional area has a resistance of 40.8 Ω at 20.0°C. If…

Q: What is the resistance (in units of 0) of a wire made of a material with a resistivity of 3.2 × 10-8…

A: Resistivity ῥ = 3.2*10-8 ohm . m Length L = 39.3 m Diameter = 0.50mm = 0.50*10-3m

Q: Two wires are identical, except that one is aluminum and one is copper. The aluminum wire has a…

A: Resistance for a wire can be found from R=ρLA where ρ is the resistivity of material, L is length…

Q: A gold wire carries 22 A of current with a drift velocity of 4.3 × 10-3 m/s. Assume there is one…

A: Resistance of a wire is given as, R =ρlA Here, ρ is the…

Q: What is the total resistance in the following cable? It is iron wire with resistivity of 9.7x10-⁸…

Q: The resistance of a 100-cm wire of cross sectional area 2 x 10^-6 m^2 is 400 n. What is the…

Q: A high-voltage power transmission line is 200 km long, and is constructed of aluminium cable of…

A: Givenlength (l) =200 km =2 × 105 mDiameter (d) 30 mm⇒ Radius (r) =15 mm = 15 × 10-3 m

Q: A silver wire with a circular cross-section has a mass of 1.45 g and a resistance of 0.790 Ω. At…

A: Mass (m) = 1.45 g = 0.00145 kg Resistance (R) = 0.79 ohm Temperature (T) = 20o C Resistivity of…

Q: A current-carrying gold wire has diameter 6.96 mm. The electric field in the wire is 0.58 V/m. What…

A: Remember that current density through wire is given by: J = sigma*E = I/A sigma = conductivity of…

Q: An aluminum wire having a cross-sectional area equal to 3.50 x 10-6 m2 carries a current of 6.00 A.…

Q: Two wires are identical, except that one is aluminum and one is copper. The aluminum wire has a…

A: Given data: Resistance of aluminium wire (RAl) = 0.344 Ω The resistivity of copper(ρcu) = 1.72 x…

Q: At room temperature, what is the strength of the electric field in a 12 gauge copper wire (diameter…

A: Given,

Q: The graph below represents the relationship between the resistance and the length of a wire of a…

Q: A copper wire is r = 0.0250 cm in radius and 3.00 m in length, has resistivity ρ = 1.72x10^–8 Ωm,…

Q: A piece of wire has resistance of 1.25 2. The wire is made of a material with resistivity 8.2x10-7…

Q: A high-voltage copper transmission line with a diameter of 1.40 cm and a length of 120 km carries a…

Q: What is the resistance of a 3.9 m length of copper wire 1.3 mm in diameter? The resistivity of…

A: The resistance of a wire is given by, R = ρlA Here, ρ is the resiticvity of the…

Q: The resistance of a uniform copper wire 50.0 meters long and 1.15 mm in diameter is 0.830 ohms at…

A: Given, Length of copper wire = 50 m Diameter = 1.15 mm Resistance = 0.830 ohms at 20 degrees

Q: The temperature coefficient of resistivity for the metal gold is 0.0034 (C°)-1, and for tungsten it…

A: Given αgold=0.0034 (C0)-1 αtungsten=0.0045 (C0)-1∆RRgold=7.9%

Q: A wire 300 m long has a resistance of 1.18 Ω and a cross-sectional area of 14 mm2. Of what material…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: A 4.0 m length of gold wire is connected to a 1.5 V battery, and a current of 4.0 mA flows through…

Q: Consider a portable electric blanket that runs on a 4.5 V battery. If you use copper wire with a…

A: Given data: Battery Voltage (V) = 4.5 V Wire Diameter (D) = 0.75 mm = 0.75×10-3 m Power (P) = 10 W…

Q: Two wires with the same resistance have the same diameter but different lengths. If wire 1 has…

A: Given Information:- Resistance and diameter of the two wires are same. Resistivity of copper is…

Q: The graph below represents the relationship between the resistance and the length of a wire of a…

Q: A current-carrying gold wire has diameter 6.89 mm. The electric field in the wire is 9.24 V/m. What…

Q: hat is the electrical resistance of a copper wire that has a radius of 0.80 mm and a length of 2.0…

A: Given: The radius of the wire is 0.8 mm. The length of the wire is 2 m. The resistivity of the wire…

Q: A wire is made of a material with a resis- tivity of 4.18635 x 10 2. m. It has length 5.78293 m and…

Q: When a 1.0m length of metal wire is connected to a 1.5 V battery, a current of 8 mA flows through…

Q: When 120 V is applied across a wire that is 20 m long and has a 0.40 mm radius, the magnitude of the…

A: Given:voltage V=120VLength L=20 mRadius r=0.4 mm=0.4*10-3m=0.0004 mCurrent density J=1.5*108A/m2To…

Q: Consider a portable electric blanket that runs on a 4.5 V battery. If you use copper wire with a 0.5…

Q: A gold wire with a circular cross-section has a mass of 1.30 g and a resistance of 0.770 Ω. At 20°C,…

A: Given data: Mass of the gold wire is, m= 1.30 g The resistance of the gold wire is, R = 0.770 Ω The…

Q: What is the resistance of a 100m length of round copper wire with a radius of 0.3mm ?…

A: The resistance is directly proportional to the length and inversely proportional to area. The unit…

Q: A 5.0 mm diameter wire carries a current of 10 A when the electric field is 1000 N/C. What is the…

Q: The resistivity of a 100 m long copper wire is 1.72 x 10-80m. If the cross sectional area of the…

Q: A copper wire of length 0.5 m and area 2 x 10^9 m^2 is connected to a 12 V battery. What current…

A: Length of copper wire (L) = 0.5 m Cross-sectional area of wire (A) = 2 x109 m2 Potential difference…

Q: A 10-gauge copper wire has a cross-sectional area A = 5.26 mm2 and carries a current of I = 5.00 A .…

A: Given: The density of copper is ρ=89.5 g/cm3. The molar mass of copper is M=63.5 g. The cross…

Q: If one mile of 24 gauge copper wire has a resistance of 0.14 kΩ and the resistivity of the copper is…

A: The length of a copper wire is, L=1 mile=1.6 km=1.6×103 m The resistance of a copper wire is, R=0.14…

Q: T A 2.0 × 10²-km-long high-voltage transmission line 2.0 cm in diameter carries a steady current of…

A: The drift speed of the electrons can be calculated by , I = nqvdA, n = 8.5 x 1028 / m3 , q = 1.6 x…

Q: An aluminum wire having a cross-sectional area equal to 3.00 x 10-6 m² carries a current of 3.00 A.…

Q: If 3.0 x 1015 electrons flow through a section of a wire of diameter 2.0 mm in 2.0 s, what is the…

A: Given, n=number of electron=3×10^15 Time=2s

Q: A ribbon of material with a rectangular cross sectional area of (0.25 mm x 1.00 mm), length 21.9 cm…

A: The resistance of a material is proportional to R∝lAR=ρl A ρ=resistivity The…

Q: Consider a portable electric blanket that runs on a 4.5 V battery. If you use copper wire with a 0.5…

Q: How much current will flow through a 40.0-m length of metal wire with a radius of 4.0 mm if it is…

Concept explainers

Resistivity

Resistivity is a characteristic property of the conductor’s material that measures the extent to which the material opposes the flow of current. It is denoted by the Greek letter “rho”. Electrical resistivity, also known as specific resistance, depends on the nature of the material of the conductor and is unaffected by its dimensions.

Question

A 4.0 m length of gold wire is connected to a 1.5 V battery, and a current of 4.0 mA flows through it. What is the diameter of the wire? (The resistivity of gold is 2.44 × 10-8 Ω·m)

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.

Similar questions

A 10.00-meter long wire cable that is made of copper has a resistance of 0.051 ohms, (a) What is the weight if the wire was made of copper? (b) What is the weight of a 10.00-meter-long wire of the same gauge made of aluminum? (c)What is the resistance of the aluminum wire? The density of copper is 8960 kg/m3 and the density of aluminum is 2760 kg/m3.
Taking R = 1.00 k and = 250 V in Figure P21.49, determine the direction and magnitude of the current in the horizontal wire between a and e. Figure P21.49
An aluminum wire with a circular cross-section has a mass of 1.45 g and a resistance of 0.630 Ω. At 20°C, the resistivity of aluminum is 2.82 ✕ 10−8 Ω · m and its density is 2,700 kg/m3. How long (in m) is the wire? What is the diameter (in mm) of the wire?
A gold wire with a circular cross-section has a mass of 1.30 g and a resistance of 0.770 Ω. At 20°C, the resistivity of gold is 2.44 ✕ 10−8 Ω · m and its density is 19,300 kg/m3. How long (in m) is the wire? m What is the diameter (in mm) of the wire? mm
A copper wire of length 2.5 m and cross-sectional area 2.4 x 10-7 m2 has a resistivity of 1.7 x 10-8 Ω m. What is the resistance of the wire?
A 580 mm long tungsten wire, with a 0.048 mm diameter circular cross section, is wrapped around in the shape of a coil and used as a filament in an incandescent light bulb. When the light bulb is connected to a battery, a current of 0.536 A is measured through the filament. Tungsten has a resistivity of 4.9 x 10-8 Ohms x m. How many electrons pass through this filament in 5 seconds? What is the resistance of this filament? What is the voltage of the battery that would produce this current in the filament?
A gold wire has a length of 23.0 m and a resistance of 4.70 Ω at 20.0°C. Assuming a circular cross-section, what is the wire's diameter (in mm)? The resistivity of gold at 20.0°C is 2.44 ✕ 10−8 Ω · m
A silver wire with a circular cross-section has a mass of 1.45 g and a resistance of 0.790 Ω. At 20°C, the resistivity of silver is 1.59 ✕ 10−8 Ω · m and its density is 10,500 kg/m3. How long (in m) is the wire? m What is the diameter (in mm) of the wire? mm
Consider a portable electric blanket that runs on a 4.5 V battery. If you use copper wire with a 0.5 mm diameter as the heating element, how long should the wire be (in unit of meters) if you want to generate 15 W of heating power? (Take the resistivity of the copper wire as p= 1.7 x 10^(-8) Ω.m)
Two wires are identical, except that one is aluminum and one is copper. The aluminum wire has a resistance of 0.816Ω. What is the resistance of the copper wire? Take the resistivity of copper to be 1.72 x 10-8 Ω·m, and that of aluminum to be 2.82 x 10-8 Ω·m.
A gold wire carries 22 A of current with a drift velocity of 4.3 × 10-3 m/s. Assume there is one free electron per gold atom, and the density of gold is 1.93 × 104 kg/m3. The molecular weight of gold is 196.97 g/mol. Part (b) For the problem above, calculate the resistance of the wire under those conditions. Assume the wire is 3.7 m in length, and the resistivity of gold is 2.44 × 10-8 Ω⋅m. R = Ω
What is the resistance of a 3.9 m length of copper wire 1.3 mm in diameter? The resistivity of copper is 1.68×10−8 Ω⋅m .