25.21 A current-carrying gold wire has diameter 0.84 mm. The electric field in the wire is 0.49 V/m. What are (a) the current carried by the wire; (b) the potential difference between two points in the wire 6.4 m apart; (c) the resistance of a 6.4-m length of this wire?

25.21 A current-carrying gold wire has diameter 0.84 mm. The electric field in the wire is 0.49 V/m. What are (a) the current carried by the wire; (b) the potential difference between two points in the wire 6.4 m apart; (c) the resistance of a 6.4-m length of this wire?

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter21: Current And Direct Current Circuits

Section: Chapter Questions

Problem 8P: A 0.900-V potential difference is maintained across a 1.50-m length of tungsten wire that has a...

See similar textbooks

Related questions

Q: 6. The current-density magnitude in a certain circular wire is J = (2.90 × 1010 A/m4) r, where r is…

A: First we need to find amount of current flowing through the wire, So given by: J = 2.90*10^10*r^2 We…

Q: The earth's surface has a negative surface charge density of 10-9 C m². The potential difference of…

Q: Calculate the current density in a gold wire at 20°C, if an electric field of 0.8 V/m exists in the…

Q: box. (1) A silver wire 1.00 mm in diameter transfers a charge of 65.0 C in 1 hr. 15.0 min. S…

Q: At 20°C, a 7.5 m long copper wire has a cross-sectional diameter of 1 mm. If 15 A of current flow…

Q: In the Bohr model of the hydrogen atom, an electron in the 2nd excited state moves at a speed of…

A: Given Speed of electron v = 5.48 x 105m/sRadius of the circular path r = 2.12 x 10-10 m

Q: A high voltage transmission line of diameter 3.73 cm and length 3.76189 km carries a steady current…

A: Given data The diameter of the transmission line is: d = 3.73 cm = 0.0373 m The length of the…

Q: A 250-km-long high-voltage transmission line 2.00 cm in diameter carries a steady current of 1,070…

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

A: Given,

Q: A current of 2 A flows through a gold wire with a radius of 3 cm and a length of 15 m. There are…

A: Current (I) = 2 A radius (r) = 3 cm Length (L) = 15 m number of free electrons per unit volume =…

Q: A spool of iron wire 320 m long and with a diameter of 0.360 mm is at 20.0°C. For iron, the…

A: Given value--- length =320 m. diameter = 0.36 mm. resistivity = 10 × 10-8 ohm m. temperature…

Q: In a hypothetical fusion research lab, high temperature helium gas is completely ionized and each…

Q: An aluminum wire having a radius of 7.53 mm and carrying a current of 86.2 mA is connected in a…

A: let the density of the electrons is denoted by n, the charge of electrons is denoted by e, the…

Q: A potential difference of 2.0 V is applied across a cylindrical conductor. The conductor is 20.0 m…

Q: Taking R = 2.50 kΩ and ℰ = 290 V in the figure shown below, determine the magnitude and direction of…

A: The figure shows the loop diagram of the circuit is,

Q: The current supplied to an air conditioner unit is 2.98 amps. The air conditioner is wired using a…

Q: A spool of copper wire 290 m long and with a diameter of 0.360 mm is at 20.0°C. For copper, the…

A: The wire's resistivity is, ρ=1.7×10-8 Ω The wire's length is, L=290 m The radius of wire is, r=0.360…

Q: A wire has a current density of 7.47 × 106 A/m². If the cross-sectional area of the wire is 2.39…

Q: A 14.0 gauge copper wire of diameter 1.628 mm carries a current of 12.5 mA . What is the…

A: Length of copper wire (L) = 2 m resistivity of copper wire (ρ) = 1.72×10-8 ohm-meter diameter of…

Q: A spool of iron wire 260 m long and with a diameter of 0.320 mm is at 20.0°C. For iron, the…

Q: What current flows through a 2.45-cm-diameter rod of pure silicon that is 21.5 cm long, when 1.00 x…

Q: What current flows through a 0.50 mm diameter rod of annealed Copper that is 90.0 cm long, when 12 V…

A: Resistance is given by: R = ρ*L/A ρ = resistivity of annealed copper = 1.72*10^-8 ohm-m L = length…

Q: A 200-km-long high-voltage transmission line 2.00 cm in diameter carries a steady current of 1 000…

A: The given values are,

Q: When a potential difference of 12 V is applied to a wire 8.5 m long and 0.41 mm in diameter the…

A: Given : Potential difference, V = 12 V Length, L = 8.5 m ; Diameter, D = 0.41 mm Current, I = 2.8…

Q: The quantity of charge q (in coulombs) that has passed through a surface of area 2.05 cm2 varies…

A: a) The instantaneous current (I) through the surface is the rate of change of charge (q) with time…

Q: 1. If electricity costs 15 Bz per kilowatt-hour, how much does it cost to operate a 220 V water…

A: Voltage,V=220Vconsumed current,I=5Atime taken in a day=3hrtime taken in month(t)=30×3=90 hrenergy…

Q: What current flows through a 2.45-cm-diameter rod of pure silicon that is 21.5 cm long, when 1.00 x…

A: Ohms's Law: The current passing through a wire is directly proportional to the voltage applied…

Q: A 260-km-long high-voltage transmission line 2.0 cm in diameter carries a steady current of 1,180 A.…

Q: The room temperature resistivity of gold isp= 2.44 x 10-8 N. m.Agold wire that is 0.75 mm in…

Q: An isolated conducting sphere has a 10 cm radius. One wire carries a current of 1.000 002 0 A into…

Q: 2. A metallic cable 50.0 m long and 10.0 cm in diameter carries a current of 10.0 A. The resistivity…

Q: A spool of copper wire 200 m long and with a diameter of 0.320 mm is at 20.0°C. For copper, the…

A: Calculate the resistance of the wire.

Q: A 14-gauge copper wire has a diameter of 1.508 mm. What magnitude current flows in amperes when the…

Q: The potential difference between points in a wire 75.0 cm apart is 0.938 V when the current density…

A: a) d= 7cm =0.75m, V=0.938V, J =4.4×107A/m2 E =Vd…

Q: A spool of iron wire 290 m long and with a diameter of 0.480 mm is at 20.0°C. For iron, the…

Q: What current flows through a 2.45-cm-diameter rod of pure silicon that is 21.5 cm long, when 1.00 x…

Q: A 411-km-long high-voltage transmission line 7.00 cm in diameter carries a steady current of 1,900…

A: For the high voltage transmision line following informations are given,Length: l=411kmDiameter:…

Q: A steady current of 2 mA flows through a wire. How much charge passed through the wire in three and…

Q: d+y 8. A wire of 2 mm² cross-sectional area and 1.3 cm long contains 2 x100 electrons. It has a 102…

Q: A 0.800-V potential difference is maintained across a 1.50-m length of tungsten wire that has a…

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: Determine the current density in an aluminum wire of length 2.00 m and radius 0.650 cm The potential…

A: The expression of a material’s current density is,

Q: A 300-km-long high-voltage transmission line 2.0 cm in diameter carries a steady current of 1,240 A.…

Q: 1. If electricity costs 15 Bz per kilowatt-hour, how much does it cost to operate a 220 V…

A: Power of refrigerator = VxI = 220x1.3 = 286W Total energy consumption =286x24x30/1000 = 205.92 kWh…

Q: The earth’s surface has a negative surface charge density of 10-9 C m-2. The potential difference of…

A: It is given that,

Q: A spool of copper wire 290 m long and with a diameter of 0.440 mm is at 20.0°C. For copper, the…

Q: 25.12 A Copper wire has a square cross section 2.3 mm on a side. The wire is 4.0 m long and…

A: Given,

Q: The potential difference between points in a wire 75.0 cm apart is 0.938 V when the current density…

Q: A high-voltage copper transmission line with a diameter of 2.60 cm and a length of 100 km carries a…

A: Write the expression for the drift speed of electrons.

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

100%

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

Step 2

Step 3

Step 4

Step 5

Step 6

Step 7

Step 8

Trending now

This is a popular solution!

Step by step

Solved in 8 steps with 7 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

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 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.
What current flows through a 2.54-cm-diameter rod of pure silicon that is 20.0 cm long, when 1.00 × 103 V is applied to it? (Such a rod may be used to make nuclear- particle detectors, for example.)
25.12     A Copper wire has a square cross section 2.3 mm on a side. The wire is 4.0 m long and carries a current of 3.6 A. The density of free electrons is 8.5 X 1028/m3.   Find the magnitudes of (a) the current density in the wire and (b) the electric field in the wire. (c) How much time is required for an electron to travel the length of the wire?
1.  If electricity costs 15 Bz per kilowatt-hour, how much does it cost to operate a 220 V Refrigerator that draws 1.3 A of current for 24 hours per day for a month of thirty days? The Total Electrical energy consumed for a month = Answer kwh and the Total cost of electricity consumption  =  Answer riyal 2.  If current of I = 2.500 A flows through a wire, How many number of electrons flow through a point in a wire in 2.00 s ? Number of electrons flow through a point in wire in 2.00 s  = Answer electrons
A cylindrical conducting wire which is 342.57cm long,  85.39mm thick and resistivity of 3.13Ω.m, (a) has the resistance of R = ? If current I = 12.9A is generated by flowing of 217 electrons/m3 via a conductor, Then the electrons through this conductor (b) have a density J = ?and (c) are drifting at a speed of VD = ?
In the Bohr model of the hydrogen atom, an electron in the 2nd excited state moves at a speed of 5.48  105 m/s in a circular path having a radius of 2.12  10-10 m. What is the effective current associated with this orbiting electron? In Units of mA
A spool of tungsten wire 200 m long and with a diameter of 0.360 mm is at 20.0°C. For tungsten, the resistivity is 5.60 ✕ 10−8 Ω · m and the temperature coefficient of resistivity is 4.50 ✕ 10−3 (°C)−1. (a) What is the magnitude of the electric field (in V/m) in the wire if it carries a current of 0.450 A?   V/m (b) What is the electric power (in W) delivered to the spool while it carries a current of 0.450 A? W (c) What is the power (in W) delivered to the spool if the potential difference across the wire is held constant and the temperature is increased to 310°C? W
A 320-km-long high-voltage transmission line 2.0 cm in diameter carries a steady current of 1,040 A. If the conductor is copper with a free charge density of 8.5  1028 electrons per cubic meter, how many years does it take one electron to travel the full length of the cable? (Use 3.156  107 for the number of seconds in a year.) yr
What current flows through a 2.74 cm diameter rod of pure silicon that is 25.0 cm long, when 1000 V is applied to it? (Such a rod may be used to make nuclear particle detectors, for example.) The resistivity of pure silicon is 2.30 103 Ω · m. _____A
A copper wire is r = 0.0250 cm in radius and 3.00 m in length, has resistivity ρ = 1.72x10^–8 Ωm, and carries a current of 0.400A. The wire has a charge carrier density of 8.50x10^28 electrons/m3.a. The resistance, R, of the wire is:____Ω.b.The electric potential difference, V, across the wire is:____V.c.The electric field, E, in the wire is:____V/m.
A high-voltage copper transmission line with a diameter of 1.40 cm and a length of 120 km carries a steady current of 8.25 102 A. If copper has a free charge density of 8.46 1028 electrons/m3, over what time interval does one electron travel the full length of the line?