Calculate the average electric field in this wire

Reference no: EM131046674

1. A 1.0 m section of an aluminum wire with 2.0 mm diameter carries 1.0 Ampere of electric current in a circuit and has an DC electrical resistance of 0.00845Ω. The wire is along the x-axis, y=0 and z=0.

a) What is the number of aluminum atoms in 1.0 m of this wire?

b) What is the electrical conductivity of this Aluminum wire?

c) Calculate the number of conduction electrons in this 1.0 m of wire.

d) Calculate the potential difference across this 1.0 m aluminum wire.

e) Calculate the power dissipation on this 1.0 m wire.

f) Calculate the electric current density vector, J, in this wire.

g) Calculate the average electric field in this wire.

h) Calculate the Al+3 atom density in this wire.

i) What is the "+" charge density?

j) Calculate the conduction electron density in this wire.

k) What is the net electric charge density on this wire?

l) Calculate the average speed of electrons in this wire.

m) A test charge electron coming out of a 1000 V electron gun is travelling along x-axis at y= 0.20 m, z= 0. What is the speed of this electron if the process taking place in vacuum?

n) What is the velocity vector, v, of this test electron at that moment where travelling along x-axis?

o) What is the "+" charge density observed from the inertial frame of moving along x-axis with the same speed as test electron?

p) What is the speed of conduction electrons in wire observed from the inertial frame of moving along x-axis with the same speed as test electron?

q) What is the "-" conduction electron charge density observed from the inertial frame of moving along x-axis with the same speed as test electron?

r) What is the net charge density observed from the inertial frame of moving along x-axis with the same speed as test electron?

s) What is the force vector on this test electron at that moment?

2. A small 1.0 mm water droplet charged with a charge of 2.0x10-6 Coulomb is hanging (x=0, y=0, z=5 cm) over a very large electrically charged metal plane placed on xy plane at z=0.

a) What is the electrical surface charge density of this metal plate?

b) What is the electrical potential value at the point of this charge?

c) Determine the electric field vector function at z>0 space ( exclude inside the droplet)

3. A vector function given as : E = (2xy2+ z3, 2x2y, 3xz2) with a constant to adjust units.

a) Is this a valid function representing static electric field? Show it why or why not ?

b) Find charge density function ?

c) Find the associated potential function φ(x, y, z).

Reference no: EM131046674

Questions Cloud

How do you solve a quadratic equation : How do you solve a quadratic equation? rite a quadratic equation and show how to solve it using the method that you think is best. Explain your solution, including why you chose the method you did

Mound-shaped and symmetric : A small computing center has found that the number of jobs submitted per day to its computers has a distribution that is approximately mound-shaped and symmetric, with a mean of 75 jobs and a standard deviation of 9.

How much work did you do move can of paint to top of ladder : A 4.8 kg can of paint is sitting on top of a 3 meter high step ladder. How much work did you do to move the can of paint to the top of the ladder?

Probability that all three tickets drawn : Three tickets are randomly drawn. Find the probability that all three tickets have no value. The probability that all three tickets drawn have no money value is?

Calculate the average electric field in this wire : A 1.0 m section of an aluminum wire with 2.0 mm diameter carries 1.0 Ampere of electric current in a circuit and has an DC electrical resistance of 0.00845Ω. The wire is along the x-axis, y=0 and z=0. What is the number of aluminum atoms in 1.0 m ..

About this sale-and-lease-back contract : You are a hospital administrator trying to raise capital to refurbish the hospital. Your local bank is reluctant to lend to you because you already have a large mortgage on the property on which the hospital complex lies.

How many adult tickets were sold that day : At the movie theatre, child admission is $5.60 and adult admission is $9.40. On Friday, 151 tickets were sold for a total sales of $1202.80. How many adult tickets were sold that day?

Corresponding to points at which graphs intersect : Find the values α and β of θ in [-π, π] corresponding to the points at which the graphs intersect, with α

Draw the transition diagram for the markov process : Colleges have been rapidly making broadband Internet service available in their residence halls. Draw the transition diagram for the Markov process. Set up an absorbing stochastic matrix for the Markov process

User Account

All Pages