A section of iron wire having a diameter of 0.030 inch is measured to have a resistance of 2500 Ω (at a temperature of 20°C). a. Determine the cross-sectional area in square meters and in square millimeters. (Note: 1 inch = 2.54 cm = 25.4 mm) b. Calculate the length of the wire in meters.

A section of iron wire having a diameter of 0.030 inch is measured to have a resistance of 2500 Ω (at a temperature of 20°C). a. Determine the cross-sectional area in square meters and in square millimeters. (Note: 1 inch = 2.54 cm = 25.4 mm) b. Calculate the length of the wire in meters.

University Physics Volume 2

18th Edition

ISBN:9781938168161

Author:OpenStax

Publisher:OpenStax

Chapter9: Current And Resistance

Section: Chapter Questions

Problem 28P: An aluminum wire 1.628 mm in diameter (14-gauge) carries a current of 3.00 amps, (a) What is the...

See similar textbooks

Related questions

Q: Now Spiderman is swinging from a web and Electro sends a current down the web to shock him. If the…

A: Data Given, Voltage ( V ) = 150000 V Current ( I ) = 0.50 A We have to find out Resistance = R &…

Q: (a) Of what material is a wire made, if it is 20.0 m long with a 0.150 mm diameter and has a…

A: Given: The length of the wire is 20 m. The diameter of the wire is 0.15 mm. The resistance of the…

Q: 5.0 cm length of a cylindrical copper wire has a radius of 0.01 mm. The resistivity of copper is…

Q: 1. What is the resistance of a 30 m silver wire with a 2 mm diameter? 2. A carbon wire with a 3 mm…

Q: 6. A wire is 100 cm long and has a resistance of 25 ohms. The wire is cut into five equal parts. (a)…

A: 6. The relation between the resistance and the resistivity of a wire is given by: R = ρLAρ…

Q: Suppose you wish to fabricate a uniform wire out of 1.05 g of copper. If the wire is to have a…

A: Given, Mass of the wire = 1.05 g =1.05 ×10-3 kg Resistance of the wire = 0.460 ohm

Q: Silver is composed of 5.8 x 1028 free electrons per cubic meter. If a silver wire with a diameter of…

Q: Two lightbulbs are each connected to a voltage of 120 V. One hasa power of 25 W, the other 100 W.…

A: (a) Resistance calculation

Q: (a) What current is needed to transmit 1.00×102 MW of power at 10.0 kV? (b) Find the resistance of…

A: Electric power: Power (P) is the product of current and voltage. P = IV or P = V2R or P =I2R…

Q: On the technical sheet of a television, you can read the following information: 120 V, 225 W. a)…

Q: A 15 m copper wire has a cross sectional radius of 3mm. (P = 1.68×10^-8 at 20°C and A=0.0068) a.…

A: Given: The length of the wire is 15 m. The radius of the wire is 3 mm. The resistivity of the copper…

Q: A 30.0 m long extension cord is made from two #19 gauge copper wires. (a) What is the resistance of…

Q: Unreasonable Results(a) What current is needed to transmit 1.00 X 102 MW of power at 10.0 kV? (b)…

A: Given Data: The power is, P=1.00×102 MW The voltage is, V=10.0 kV The length of a wire is, L=1.00 km…

Q: A 15m long copper wire has a cross-sectional radius of 3mm. (a) What is the resistance of the wire?…

A: Resistance of the wire is the resistance offered to current while flowing through a conductor. The…

Q: 1. Consider a cylindrical wire that has conduction electron density 6.0 x 1028 and radius 0.5 mm. An…

A: The average velocity obtained by charged particles (e.g. electrons) in a material owing to an…

Q: Use "E" as the symbol for Voltage. R1 R, If ɛ = 12 V, R1 = 3.0 0 and R2 = 6.0 Q, what is. a. The…

A: R1=3 ohm R2=6 ohm ε=12 V

Q: How long must a 0.64-mm-diameter aluminum wire be to have a 0.60 A current when connected to the…

A: Current through wire I = 0.60 A Voltage V = 1.5 V Diameter d = 0.64 mm Radius r = 0.32×10-3 m…

Q: a) what is the electric field in the wire? b) using the Ohms law what is the wire resistance R? c)…

A: Given data: The electron density is: n=7×1028 e/m3=7×1028×1.6×10-19 C/m3 The drift speed of the…

Q: The amount of charge that passes through the filament of a certain light bulb in 2 seconds is 1.67…

A: Given in question: Charge(Q) = 1.67 Coulomb Time(t) = 2…

Q: Choose the correct Answer? Q1: The length of copper wire with diameter (1mm), have a resistance of…

A: We know that the resistance of a wire of length L, cross section area A and resistivity ρ, is given…

Q: What is the resistance of Part A A 2.0-m-long gold wire that is 0.10 mm in diameter? Express your…

Q: A constant current transfers 10*10^14 electrons onto one plate of a capacitor in 3 minutes [min].…

Q: 1. (a) If 90 C of charge pass through an electric conductor in 30 seconds, determine the current in…

Q: An electric device draws 7.50 A at 240 V. Part A If the voltage drops by 11 % , what will be the…

A: Given: Current, Iinitial=7.50 A Potential, Vinitial=240 V PART A: OHM'S LAW is given as; V=IR So,…

Q: Suppose you wish to fabricate a uniform wire out of 1.20 g of copper. If the wire is to have a…

Q: Question 4 (@) A gasolene generator converts energy into electrical energyz (b) The Speed at which…

A: We need to determine: (a) A gasoline generator converts -------- energy into electrical energy. (b)…

Q: A 30.0 m long extension cord is made from two #19 gauge copper wires. (a) What is the resistance of…

Q: Consider a wire made of copper with conductivity 6.0x10^7 omega^-1m^-1, which has a circular…

Q: (a) Calculate the resistance of aluminum wire with a cross sectional area of 10 mm2 and length of 2…

A: Given data: For aluminium wire Cross section area (A) = 10 mm2 Length (L) = 2 m Resistivity of…

Q: (a) Of what material is a wire made, if it is 20.0 m long with a 0.110 mm diameter and has a…

Q: (a) Of what material is a wire made, if it is 30.0 m long with a 0.130 mm diameter and has a…

Q: A 1.0×10¬3 V/m electric field creates a 2.5x1o17 electrons/s current in a 1.2-mm-diameter aluminum…

Q: A piece of Nichrome wire has a radius of 6.5 × 10−4 m. This wire is used in a laboratory to make a…

Q: In the filament of a certain light bulb, The amount of charge that passes through it is 3.265 C in 2…

A: Current is defined as the rate of flow of charge, if a total charge, 'q' is flowed in time 't', then…

Q: 1. A conductor of uniform radius 2.1 cm carries a current of 3 A produced by an electric field of…

Q: 1. Consider a cylindrical wire that has conduction electron density 6.0 × 1028 4 and radius 0.5 mm.…

A: Electron density n = 6.0×1028 m-3 Radius of wire r = 0.5 mm = 5×10-4 m Current i = 4.8×1017…

Q: (a) Of what material is a wire made, if it is 25.0 m long with a diameter of 0.100 mm and has a…

A: The given values are, L=25.0 md=0.100 mm=0.100×10-3 mR=77.7 Ωr=d2=0.100×10-3 m2=0.050×10-3 m

Q: A copper wire of length 25-m has a resistance of 0.55-Ω at 20°C. a) What is the diameter of the…

A: The given data are listed below with suitable variables. Here, L denotes the wire’s length, R…

Q: copper wire has a square cross section 2.9 mm on a side. he wire is 4.1 m long and carries a current…

A: We know that current density is given by J=I/A

Q: Part A What is the resistance of A 1.0-m-long gold wire that is 0.50 mm in diameter? Express your…

Concept explainers

Microscopic view of current

In physics, the term current is expressed as the rate of flow of electric charges across the area per unit time (I=q/t). It propagates along in the direction of the motion of positive charges. When the current is caused by the motion of electrons, the direction of the current is opposite to the flow.

Question

A section of iron wire having a diameter of 0.030 inch is measured to have a resistance of 2500 Ω (at a temperature of 20°C).
a. Determine the cross-sectional area in square meters and in square millimeters.
(Note: 1 inch = 2.54 cm = 25.4 mm)
b. Calculate the length of the wire in meters.

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

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

An aluminum wire 1.628 mm in diameter (14-gauge) carries a current of 3.00 amps, (a) What is the absolute value of the charge density in the wire? (b) What is the drift velocity of the electrons? (c) What would be the drift velocity if the same gauge copper were used instead of aluminum? The density of copper is 8.96 g/cm3 and thedensity of aluminum is 2.70 g/cm3. The molar mass ofaluminum is 26.98 g/mol and the molar mass of copper is 63.5 g/mol. Assume each atom of metal contributes one free electron.
(a) Of what material is a wire made, if it is 30.0 m long with a 0.130 mm diameter and has a resistance of 35.9 Ω at 20.0°C? aluminum silver tungsten lead (b) What is its resistance (in Ω) at 140°C?
1. Silver is composed of 5.8 x 1028 free electrons per cubic meter. If a silver wire with a diameter of 1.8 mm can allow charges of 360 C to flow in 1 hour,a. What is the current in the conducting wire?b. What is the magnitude of the drift velocity of the electrons in the conducting wire?
A constant current transfers 10*10^14 electrons onto one plate of a capacitor in 3 minutes [min]. (a) What is the current, in units of amperes [A]? Express the answer using an appropriate SI prefix such that there are only 1, 2, or 3 digits shown to the left of the decimal. (b) If the capacitor has a capacitance of microfarads [F], what is the voltage in units of volts [V] across the capacitor?
(a) Of what material is a wire made, if it is 25.0 m long with a diameter of 0.100 mm and has a resistance of 77.7 Ω at 20.0 °C ? (b) What is its resistance at 150.0 °C?
1.) a. What basic equation will you use to calculate how much charge is moved over a period of 10 s for a circuit that has a current of 0.2 amperes? a.) I=ΔV/R b.) I=q/t c.) q=I/t d.) I*ΔV b. Using the equation picked above: how much charge is moved over a period of 10 s for a circuit that has a current of 0.2 amperes? a.) 2 coloumbs b.) 2 amperes c.) 0.2 amperes d.) 50 coloumbs
A 30.0 m long extension cord is made from two #19 gauge copper wires. (a) What is the resistance of the wire at 200C? The diameter of the copper wire is 0.912 mm.(b) If the copper wire is replaced by an Aluminium wire of the same length, what is the diameter so that the new wire has a resistance no greater than the old?
As part of a class project you are given 0.900 g of nichrome and asked to fabricate a wire with uniform cross-section. You use up 95% of the nichrome and make a wire with a resistance of 0.793 Ω. The resistivity of nichrome is 1.00 10-6 Ω · m and its density is 8.31 103 kg/m3. a. What length of wire do you end up with? b. What is the diameter of the wire?
A 15m long copper wire has a cross-sectional radius of 3mm. (a) What is the resistance of the wire? (b) If 200mA of current flows through the wire, what is the voltage drop of the wire at 20°C? (c) What is the voltage drop per meter at 20°C
A lightbulb is rated at 75 W when connected to 120 V. (a) What current flows through the bulb in this case? A(b) What is the bulb's resistance? Ω(c) What would be the current in the bulb if it were connected to 76 V, assuming the resistance stays the same? (d) What would be its power consumption in this case?
A piece of Nichrome wire has a radius of 6.5 × 10−4 m. This wire is used in a laboratory to make a heater of power 400 W when connected to a 120 V source. (a) What is the resistance of this wire? (b) What is the cross-sectional area of this wire? (c) What is the length of this wire? (In answering this last part you may ignore the effects of temperature on the wire’s resistance.)
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)