A 20 meter length of aluminum wire with diameter 1 cm carries a certain current load I when a potential difference V is applied across its ends while at 20oC. What diameter silver wire would be necessary to carry the same current under the same conditions?

A 20 meter length of aluminum wire with diameter 1 cm carries a certain current load I when a potential difference V is applied across its ends while at 20oC. What diameter silver wire would be necessary to carry the same current under the same conditions?

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: A 1.50 m cylindrical rod of diameter 0.500 cm is connected to a power supply that maintains a…

A: (a) Resistivityof rod at 20° = 1.05× 10^-5ohm /m (b) Temperature coefficient of resistivity at 20°C…

Q: Consider a wire of a circular cross-section with a radius of R = 3.00 mm . The magnitude of the…

A: To find the current through the inner section of the wire from the center. Given:

Q: Q2Silver wire with cross section area 0.923mm? the resistivity = 10.49g/cm³ and the molar mass…

A: Area = 0.923 mm2= 9.23×10-7 m2Density (d) = 10.49 gcm3= 10490 kgm3M = 107.9 gmol Current (i) = 0.123…

Q: A 2.0 mm diameter iron wire ( resistivity, p = 9.7 x 10-8 N-m) carries a current of 2.5 A. Determine…

Q: A long wire with a radius of 0.400 cm carries a current. The potential difference across a 3.00 m…

A: Given The radius of the wire is r=0.4 cm=0.4×10-2 m. The potential difference across 3 m long wire…

Q: A rod of 2.0-m length and a square (2.0 mm × 2.0 mm) cross section is made of a material with a…

A: Given data: Length (L) = 2.0 m Cross section area (A) = 2.0 mm × 2.0 mm Resistivity (ρ) = 6.0×10-8…

Q: An aluminum wire with a diameter of 0.125 mm has a uniform electric field of 0.215 V/m imposed along…

A: Given data The diameter of the aluminium wire is: d = 0.125 mm = 0.125 x 10-3 m The magnitude of the…

Q: An aluminum wire with a diameter of 0.100 mm has a uniform electric field of 0.200 V/m imposed along…

Q: If you have several wires made from different Ohmic materials with different lengths L, different…

A: A linear relation can be obtained between the current and the resistivity using a fixed emf of the…

Q: The density of free electrons in gold is 5.9 ×10-8 m¯³. If a gold wire with diameter d= 5.0 mm…

A: As per guidelines, we will solve only one question for you. If you need any particular question,…

Q: Wire C and wire D are made from different materials and have length LC = LD = 4.3 m. The resistivity…

A: Since you have posted questions with multiple sub-parts, we will solve the first three for you. To…

Q: A 1.50 m cylindrical rod of diameter 0.500 cm is connected to a power supply that maintains a…

A: Given Voltage across the rod, V = 15.0 V Length of rod, L = 1.5 m = 150 cm, Diameter, d = 0.50 cm,…

Q: The Figure shows wire section 1 of diameter D1 = 4.00R and wire section 2 of diameter D2 = 2.00R,…

Q: A long wire with a radius of 0.400 cm carries a current. The potential difference across a 3.40 m…

A: (a) From Ohm’s law, Here, V, I and R represent the potential difference, the current flow in the…

Q: A copper wire with AWG18 (generally used in wires connecting lamps) has a nominal diameter of 1.02…

A: Current density s given as J=IA…

Q: A small but measurable current of 1.2 * 10-10 A exists in a copper wire whose diameter is 2.5 mm.The…

Q: When a current flows in an aluminum wire of diameter 4.57 mm, the drift speed of the conduction…

A: Given: Diameter, d=4.57 mm, radius r=4.75 mm2=2.285×10-3 m Drift speed ,vd=0.000291 m/s Conduction…

Q: The figure shows wire section 1 of diameter D1 = 6.50R and wire section 2 of diameter D2 = 4.00R,…

Q: A 22-gauge copper wire has a radius of 0.645 mm, is 5.00 m long, and has a resistivity r = 1.72 ´…

Q: A long wire with a radius of 0.400 cm carries a current. The potential difference across a 3.60 m…

Q: A rectangular block of copper has sides of length 14 cm, 26 cm, and 41 cm. If the block is connected…

A: The actual current, if the 8 volt source is a theoretical perfect source, can be done by calculating…

Q: A copper wire has a circular cross section with a radius of 1.25 mm. (a) If the wire carries a…

Q: The figure gives the electric potential V(x) along a copper wire carrying uniform current, from a…

Q: A 2.0 mm diameter iron wire ( resistivity, p = 9.7 x 10-8 n-m) carries a current of 2.5 A. Determine…

Q: A heating element is made by maintaining a potential difference of 75.0 V across the length of a…

Q: The mean time between collisions in iron is 3.6×10−15 s. What electron current is driven through a…

A: Let t be the mean time of collision in iron, d be the diameter of the wire, E be the electric field,…

Q: A heating element is made by maintaining a potential difference of 89.0 V across the length of a…

A: Given that; Potential difference, V=89 V Cross section, A=4.96×10-6m2 Resistivity, ρ=5×10-7Ωm a) We…

Q: A Nichrome heater dissipates 500 W when the applied potential difference is 110 V and the wire…

Q: A heating element is made by maintaining a potential difference of 75.0 V across the length of a…

Q: A long wire with a radius of 0.450 cm carries a current. The potential difference across a 3.10 m…

A: The radius of the long wire is r= 0.450 cm= 0.45x10-2 m. The length of the wire section is L = 3.10…

Q: A cylindrical resistor of length L, cross section area A and conductivity o is connected to battery…

A: Given: Length= L Cross section area=A Conductivity=σ Voltage=ε Current density=J Current=I

Q: Two long coaxial metallic cylinders of radii a and b and length L are separated by a material of…

Q: A 1.0 mm diameter Nichrome wire carries a 3.9 mA current. What does the electric field strength need…

A: The electric field strength need to be create this current is E=IρnichromeA=Iρnichromeπd24

Q: A copper wire has a circular cross-section with a radius of 1.00 mm. (a) If the wire carries a…

Q: A strip of doped silicon 260.0 um wide contains 8.80 × 1022 conduction electrons per cubic meter and…

Q: Suppose a kite string of radius 2.00 mm extends directly upward by 0.800 km and is coated with a…

A: To find the current through the water layer we need to find the resistance of the water layer.…

Q: A copper transmission cable (p = 1.72 × 10¬8 Qm) 250 km long and 20 cm in diameter, caries a current…

A: SOLUTION AS

Q: Wire C and wire D are made from different materials and have length LC = LD = 3.1 m. The resistivity…

A: The electric potential difference between point 1 and 2 is the potential drop in wire C.Write the…

Q: A copper wire of radius a = 0.172 mm has an aluminum jacket of outer radius b = 0.231 mm. There is a…

Q: A conductive thin spherical shell with radius r1=1mm is placed in the center of another conductive…

Q: A rod of semiconducting material of length L = 10 m and cross-sectional area A = 4.5 mm² lies along…

Q: A copper wire of cross-sectional area 1.30 mm2 has a current of 7.10 A flowing along its length.…

A: Given data: - The cross-sectional area of copper wire is A = 1.30 mm2. The current in the wire is…

Q: A small but measurable current of 9.6 x 10 10 A exists in a copper wire whose diameter is 3.7 mm.…

A: Given:- The current in the copper wire I = 9.6 x 10-10 A The diameter of the copper wire D = 3.7 mm…

Q: A heating element is made by maintaining a potential difference of 75.0 V across the length of a…

Question

A 20 meter length of aluminum wire with diameter 1 cm carries a certain current load I when a
potential difference V is applied across its ends while at 20oC. What diameter silver wire would
be necessary to carry the same current under the same conditions?

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

Similar questions

A 0.900-V potential difference is maintained across a 1.50-m length of tungsten wire that has a cross-sectional area of 0.600 mm2. What is the current in the wire?
Consider a wire of a circular cross-section with a radius of R = 3.00mm. The magnitude of the currentdensity is modeled as J=cr2=5.00106Am4r2 . Whatis the current through the inner section of the wire from the center to r = 0.5R?
Consider a power plant is located 60 km away from a residential area uses Q-gauge (A=42.40mm2) wire ofcopper to transmit power at a current of I = 100.00 A.How much more power is dissipated in the copper wires than it would be in superconducting wires?
The figure gives the electric potential V(x) along a copper wire carrying uniform current, from a point of higher potential Vs = 14.0 μV at x = 0 to a point of zero potential at xs = 3.00 m. The wire has a radius of 2.10 mm, and copper has a resistivity of 1.69 × 10-8 Ω·m. What is the current in the wire?
A copper wire has a circular cross section with a radius of 1.06 mm. (a) If the wire carries a current of 3.38 A, find the drift speed (in m/s) of electrons in the wire. (Take the density of mobile charge carriers in copper to be n = 1.10 ✕ 1029 electrons/m3.) ???m/s (b) For the same wire size and current, find the drift speed (in m/s) of electrons if the wire is made of aluminum with n = 2.11 ✕ 1029 electrons/m3. ???m/s
A current of 15.60 A is required through a copper wire of length 3.26 m and radius 0.118 mm. What potential different must be placed across the ends of the wire?
A copper wire of radius a = 0.256 mm has an aluminum jacket of outer radius b = 0.337 mm. There is a current i = 1.59 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 = 15.0 V between the ends maintains the current, what is the length in meters of the composite wire?
A current I =0.35 A flows through a cylindrical resistor made out of some unknown ceramic-like composite. The radius of the cylindrical body is 4.25 mm while the length is 1.65 cm. If the potential drop over the resistor is 7.54 V, what is the resistivity of the unknown ceramic material? (Answer in Ohm*m)
The mean time between collisions in iron is 3.6×10−15 s. What electron current is driven through a 2.1-mm-diameter iron wire by a 0.066 V/m electric field?
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 cylindrical resistor of radius 5.0 mm and length 2.0 cm is made of material that has a resistivity of 3.5 * 10-5 ohm m.What are (a) the magnitude of the current density and (b) the potential difference when the energy dissipation rate in the resistor is 1.0W?
A block in the shape of a rectangular solid has a crosssectional area of 3.50 cm2 across its width, a front-to-rear length of 15.8 cm, and a resistance of 935 . The block’s material contains 5.33 * 10^22 conduction electrons/m3. A potential difference of 35.8 V is maintained between its front and rear faces. (a) What is the current in the block? (b) If the current density is uniform, what is its magnitude? What are (c) the drift velocity of the conduction electrons and (d) the magnitude of the electric field in the block?