In inertial system S, the homogeneous electric field E is
parallel to the x1 axis. A particle with mass m and electric charge
q is stationary at the starting point S at t = 0
Find the velocity and location of the particle as a function of
time in S.
Consider a conducting hollow sphere with radius R that is placed
in a homogeneous electric field E_0 = E_0
e_z
a) Calculate the electrostatic potential φ_0(r)
for the homogeneous electric field E_0= E_0
e_z only and write the result in spherical
coordinates.
b) Assume that the sphere is grounded i.e. put the potential
φ(R)=0 and calculate the electrostatic potential
φ(r)=0 inside and outside the sphere.
Hint: Consider that the electrostatic potential far away from
the sphere should just give rise...
A sphere made of a linear magnetic material with Xm is placed in a uniform magnetic field B0. Determine the field inside the sphere. Hint: The external field will magnetize the sphere. This magnetization will create another uniform magnetic field inside the sphere which will cause an additional magnetization. Thus, you need to find a series expression.
Consider a dielectric sphere of uniform negative charge
distribution –q. Calculate the electric field:
a) Inside the sphere. (3 points)
b) Outside the sphere. (3 points)
c) On the surface of the sphere (3 point) d) Sketch a diagram of
the electric field for this charge distribution (3 points)
The electric field between two parallel plates is uniform, with
magnitude 576 N/C. A proton is held stationary at the positive
plate, and an electron is held stationary at the negative plate.
The plate separation is 4.06 cm. At the same moment, both particles
are released.
(a)
Calculate the distance (in cm) from the positive plate at which
the two pass each other. Ignore the electrical attraction between
the proton and electron.
_______cm
(b)
Repeat part (a) for a sodium...
Two large parallel copper plates are 3.60 cm apart and have a
uniform electric field of magnitude E = 7.98 N/C between them (see
the figure). An electron is released from the negative plate at the
same time that a proton is released from the positive plate.
Neglect the force of the particles on each other and find their
distance from the positive plate when they pass each other.
An electron with speed 2.75×107 m/s is traveling
parallel to a uniform electric field of magnitude
1.20×104 N/C .
How far will the electron travel before it stops?
How much time will elapse before it returns to its starting
point?
1. By using the formula for the Electric Field, calculate
Electric field of a solidnonconducting sphere with
radius R, and charge Q distributed uniformly on the sphere, at any
point a distance r from the center of the sphere for r > R and r
< R.
2. By using the formula for the Electric Field, calculate
Electric Field of a conductingsphere with radius R
and charge Q distributed uniformly on the sphere, at any point a
distance r from...
• A uniform electric field between two circular plates has a
direction along the positive z axis and is increasing in strength.
The plates are centred on the z-axis at z = ±5 mm and has a radius
of 2.0 cm. What is the direction of the magnetic field in a point P
with (x, y, z) = (0, 3.0 cm, 0).
My prof says that the magnetic field is pointing into the page
at point P but I don't...
An electron is released in a uniform electric field, and it
experiences an electric force of 2.2 ✕ 10-14 N downward.
What are the magnitude and direction of the electric field?
Magnitude
____________ N/C
Direction
upward, to the left, to the right or downward?