Question

In: Physics

An aluminum rod with a square cross section is 1.2 m long and 5.0 mm on...

An aluminum rod with a square cross section is 1.2 m long and 5.0 mm on edge. (a) What is the resistance between its ends? (b) What must be the diameter of a cylindrical copper rod of length 1.2 m if its resistance is to be the same as that of the aluminum rod? The resistivity of aluminum is 2.75 × 10-8 Ω·m and the resistivity of copper is 1.69 × 10-8 Ω·m.

Solutions

Expert Solution

Consider the aluminum rod

Length,

Given that the cross-section of the rod is square

So cross-sectional area,

To convert mm2 to m2. Divide by 106.

Resistivity,

---------

Resistance,

(a) ANSWER :

================================

(b) What must be the diameter of a cylindrical copper rod of length 1.2 m if its resistance is to be the same as that of the aluminum rod?

Consider the copper rod

Length,

Cross-section of the rod is a circle

Cross-sectional area,

Resistivity,

---------

Resistance,

To convert m to mm. Multiply by 1000.

Diameter,

ANSWER:

==============================

genius_generous answered 10 months ago
Next > < Previous

Related Solutions

A heat conducting rod, 1.60 m long, is made of an aluminum section, .9 m long,...
A heat conducting rod, 1.60 m long, is made of an aluminum section, .9 m long, and a copper section, .7 m long. both sections have a cross-sectional area of .0004 m2. the aluminum end and the copper end are maintained at temperatures of 30 degrees celcius and 170 degrees celcius, respectively. the thermal conductivity of aluminum and copper are 205 and 385 W/m*K, respectively. the rate at which heat is conducted in the rod is closest to: 11W 12W...
A steel rod 0.450 m long and an aluminum rod 0.250 m long, both with the...
A steel rod 0.450 m long and an aluminum rod 0.250 m long, both with the same diameter, are placed end to end between rigid supports with no initial stress in the rods. The temperature of the rods is now raised by 60.0 ∘C. What is the stress in each rod? (Hint: The length of the combined rod remains the same, but the lengths of the individual rods do not.) Psteel,Paluminium = ?
An 8-m-long, uninsulated square duct of cross section 0.2 m X 0.2 m and relative roughness...
An 8-m-long, uninsulated square duct of cross section 0.2 m X 0.2 m and relative roughness 10-3 passes through the attic space of a house. Hot air enters the duct at 1 atm and 91oC at a volume flow rate of 0.15 m3/s. The duct surface is nearly isothermal at 60oC. Determine the rate of heat loss from the duct to the attic space and the pressure difference between the inlet and outlet sections of the duct. Evaluate air properties...
A polymer rod is tested to determine its viscoelastic response. The rod’s cross-section is square with...
A polymer rod is tested to determine its viscoelastic response. The rod’s cross-section is square with the side of 5mm. The rod’s length before loading is 500mm. A tensile force of 500N is applied to the rod and the rod’s length under load was measured as a function of time. Instantly after applying the load, the rod is stretched to 508mm. After 24 and 48 hour under load, the rod’s length was measured as 550mm and 570mm, respectively. The load...
A precast square concrete pile 305x305 mm in cross section is driven into ground using a...
A precast square concrete pile 305x305 mm in cross section is driven into ground using a steam hammer. If HE = 40 kN-m, E = 0.85, WR = 35 kN, weight of pile cap = 3.0 kN, L = 25 m, n = 0.4, Ep = 21 x 106 kN/m2 , number of blows for the last 25.4 mm pile penetration is 7 blows, unit weight of concrete = 24 kN/m3 . Compute the allowable pile capacity using: (a) Modified...
A 580-mm long tungsten wire, with a 0.046-mm-diameter circular cross section, is wrapped around in the...
A 580-mm long tungsten wire, with a 0.046-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 0.526 A is measured through the filament. (Note: tungsten has a resistivity of 4.9 × 10-8 ? • m.) How many electrons pass through this filament in 5 seconds? How many electrons pass through this filament in 5...
I have a solid square aluminum beam. It is 12 inches long with cross sectional area...
I have a solid square aluminum beam. It is 12 inches long with cross sectional area .25" x .25". A force is applied to the center of the rod and supported at the ends. I need to know the maximum force before the aluminum fails. Equations and work done would be great so I can change the length and cross section if needed bigger or smaller max load.
A water trough is 8 m long and has a cross-section in the shape of an...
A water trough is 8 m long and has a cross-section in the shape of an isosceles trapezoid that is 30 cm wide at the bottom, 80 cm wide at the top, and has height 50 cm. If the trough is being filled with water at the rate of 0.1 m3/min how fast is the water level rising when the water is 40 cm deep?
A water trough is 8 m long and has a cross-section in the shape of an...
A water trough is 8 m long and has a cross-section in the shape of an isosceles trapezoid that is 30 cm wide at the bottom, 70 cm wide at the top, and has height 40 cm. If the trough is being filled with water at the rate of 0.3 m3/min how fast is the water level rising when the water is 20 cm deep?
The resistance of a very fine aluminum wire with a 10 μm × 10 μm square cross section is 1200 Ω
  1. The resistance of a very fine aluminum wire with a 10 μm × 10 μm square cross section is 1200 Ω . A 1200 Ω resistor is made by wrapping this wire in a spiral around a 3.4-mm-diameter glass core. Part A: How many turns of wire are needed? Express your answer using two significant figures. 2.The starter motor of a car engine draws a current of 180 A from the battery. The copper wire to the motor...
ADVERTISEMENT
Subjects
ADVERTISEMENT
Latest Questions
ADVERTISEMENT