Problem 2.
(a) Find the electric potential inside (r<R) and outside
(r>R) a uniformly charged solid sphere (with the charge density
roe) whose radius is R and whose total charge is Q. Use infinity as
your reference point. Plot schematically V(r) as a function of
r.
(b) [15%] By using the result for the electric potential in the
previous part, calculate the electric field in each region (r>R
and r<R)
A Spinning Ball: What is the magnetic field inside and outside a
uniformly charged solid ball (total charge ?, radius ?) spinning
about its axis with angular velocity ? ̂?? Do this three ways:
(a) Set up a Biot-Savart-style integral to determine the field
at any location. (Do not solve this integral, but make all
quantities explicit.)
(b) Simplify your integral using a location along the axis of
rotation: ? = ? ̂? or ? = 0. Solve for ?...
Use Gauss's Law to find the gravitational field g(r) and the
gravitational potential Phi(r) of an infinitely long cylinder on
the z-axis. (infty to -infty).
The cylinder has a constant mass density from (0 < r <
R).
Describe the phenomenon of Electric Field on the axis of
uniformly charged ring. Explain in details with examples, figures.
Also explain different cases such that when we are trying to find
field far away from ring or at the center of ring
(a) Use Gauss’s Law for the electric field to show that the
electric field is discontinuous at the charged surface of a
conducting plane.
(b) Devise a way to apply this same approach to a patch on a
charged spherical conductor. Hint: Draw a diagram with the electric
field so you can specify the shape of the surface.
Bremsstrahlung is due to acceleration or deceleration of charged
particles in a electric field of another charged particle? When
heavy charged particles, like p, alpha produce Bremsstrahlung is
due to the electrons electric field or nucleus electric
field?
point charges are q1=8 μC, q2=-7 μC Find
the electric field due to these charges at the origin: (o)
(q1)<------10cm------o----------10cm---------->(q2)
1. The magnitude of the electric field due to a small charged
object is 12N/C at a distance of 6m from the charge. What is the
field 3m away from the charge?
2. Two charged spheres, 3 cm apart, repel each other with a
force of 2.4 x10^-8N. Determine the magnitude and sign of the
charge on each, if one has twice the charge (of the same sign) as
the other.
3. Calculate the electric field intensity midway between two...