Question

A wire of radius 0.15 mm is made of an unknown metal and carries a current...

A wire of radius 0.15 mm is made of an unknown metal and carries a current of 8.4 mA. The drift velocity for electrons in the wire is measured to be 36 x 10-6 m/s. What is the carrier density of the metal from which the wire is made?

a. 4.2 x 1030 m-3

b. need more information to do this calculation.

c. 4.2 x 1028 m-3

d. 1.3 x 1029 m-3
Science   Physics   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

Current through the conductor is

where e is the charge of the electron, n is the carrier density, A is the crossectional area, is the drift velocity.

Given:

I = 8.4 mA= 8.4*10^-3 A

m^2

e= 1.60217662 × 10-19 C

So carrier density

Actual answer is

The closed answer is option c.

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
A copper wire that has a diameter of 2.00 mm carries a current of 10.0 A....
A copper wire that has a diameter of 2.00 mm carries a current of 10.0 A. Assuming that each copper atom contributes one free electron to the metal, calculate the drift speed of the electrons in the wire. The molar mass of copper is 63.5 g/mol and the density of copper is 8.95 g/cm3.
There is a wire made of copper with a diameter of 3.26 mm. A current of...
There is a wire made of copper with a diameter of 3.26 mm. A current of 20.0 A was applied to this wire. Answer the following question assuming that the electron density of copper is n = 8.47 × 1028 m-3. (1) Find the current density. (2) Find the electron drift velocity. (3) When the resistivity of copper is 1.70 × 10-8 Ω·m, find the voltage drop that occurs along the length of this wire. (4) Find the electron mobility.
A 7.2 mm diameter conducting wire carries a current of 3.8 A. If the density of...
A 7.2 mm diameter conducting wire carries a current of 3.8 A. If the density of the conduction electrons (free electrons) in the wire is n=19.6×1028m-3, determine the magnitude of the drift velocity of the electrons within the wire. Express your answer in units of μm/s (micrometers per second) using one decimal place. Take the charge of the electron e=1.6×10-19C.
Assume that a gold wire 0.32 mm in diameter carries one mobile electron per atom. The...
Assume that a gold wire 0.32 mm in diameter carries one mobile electron per atom. The mass density and the molecular weight of gold are 1.89×104 kg/m3 and 197.0 g/mol, respectively. Calculate the drift speed of the electrons in this wire when it carries a current of 2.44 A. (ans. 3.28×10-3 m/s)
A copper wire with diameter of 1,5 mm and length of 4m carries constant current of...
A copper wire with diameter of 1,5 mm and length of 4m carries constant current of 1.75 A. The free electron density in the wire is 8,5x1028 m-3. The resistivity of copper is 1,72x10-8 .m. Calculate   a) current density, b)drift velocity, c) magnitude of electric field, d) potential between the terminals of wire, e)power dissipated as heat f) mean free time. (mass of electron: 9,1x10-31kg, magnitude of charge of electron: 1,6x10-19 C)
A copper wire with diameter of 1,5 mm and length of 4m carries constant current of...
A copper wire with diameter of 1,5 mm and length of 4m carries constant current of 1.75 A. The free electron density in the wire is 8,5x1028 m-3. The resistivity of copper is 1,72x10-8 capital omega.m. Calculate a) current density, b)drift velocity, c) magnitude of electric field, d) potential between the terminals of wire, e)power dissipated as heat f) mean free time. (mass of electron: 9,1x10-31kg, magnitude of charge of electron: 1,6x10-19 C)
A 0.2 mm radius gold wire carries a 10 A current. Calculate:-The electric field in the...
A 0.2 mm radius gold wire carries a 10 A current. Calculate:-The electric field in the wire.- The potential difference between two points in the wire 5 m apart.- The resistance of 5m length of this wire
The resistance of a metal wire with diameter of 200μm and length of 1.00m is 0.55Ω...
The resistance of a metal wire with diameter of 200μm and length of 1.00m is 0.55Ω . the density of conduction electrons in the metal is 8.50 x 1028 m-3. Assuming that the effective electron mass is me = 9.1 x 10-31kg, calculate i) the conductivity of the metal ii) the drude scattering time iii)the electron mobility (give the answer in units of cm2V-1s-1 iv) the fermi velocity of electrons.
A metal strip 2.50 cm wide and 1.80 cm thick carries a current of 29.5 A...
A metal strip 2.50 cm wide and 1.80 cm thick carries a current of 29.5 A in a region containing a perpendicular uniform magnetic field of strength 1.51 T. The Hall voltage across the 2.50 cm width of the strip is measured to be 4.03 ?V. The drift speed of the electrons in the strip is 1.07×10-4 m/s. Find the number density of the charge carriers in the strip (in m-3).
an aluminium wire having a cross-sectional area A = 4 x 10^-6 m^2 carries a current...
an aluminium wire having a cross-sectional area A = 4 x 10^-6 m^2 carries a current I = 5 A. find the drift speed (vD) of the electrons in the wire. The density of aluminium is 2.7 g/cm^3 and its molar mass = 27 g/mol. Assume that one conduction electrons is supplied by each atom. Avogadro's constant is 6.023 x 10^23 atom/mole and e = 1.6 x 10^-19 C.
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT