PHYS-121 Version
a. Use Gauss's Law to find the electric field for an arbitrary value of where y=0 as a function of radial
distance from x=R to x->infty for a very long insulating rod of length, L, much, much greater than radius,
R and carrying a uniform charge per length, lambda .
b. Two of these very long insulating rods of length, L, much, much greater than radius, R, are parallel to
one another and their centers are separated by a distance, d (as shown below). The left rod carries a
uniform charge per length, lambda . The right rod carries a uniform charge per length, 2lambda . At what valuetst
alnno the x-axic is the plertrir fiold enutal tn zern?
Two point particles carrying charge are held in place 3.00m apart. The left charge has Q_(LEFT )=-2 imes 10^(-9)C and the
right one has Q_(RIGHT )=+4 imes 10^(-9)C.
a. What is the magnitude and direction of the force on the right charge due to the left charge
b. What is the electric field strength and direction at point C, which is 3m to the right of the right
charge?
c. What is the electric potential at point C? Please use the convention that V=0 an infinite distance
from the charges.
d. Now we want to bring a third point charge with Q_(C)=+3 imes 10^(-9)C is brought to point C from infinitely
far away while the two original charges are held in place. How much work is required to do so?
e. What is the total potential energy stored in the final configuration of all three charges? Please use
the convention that U=0 if all three charges are separated far from each other.
3. PHYS-121'Version a.
R and carrying a uniform charge per length,. y(m
R
x(m)
x=0
b.Two of these very long insulating rods of length, L, much, much greater than radius, R, are parallel to one another and their centers are separated by a distance,d(as shown below).The left rod carries a uniform charge per length_ The right rod carries a uniform charge per length,2. At what Vatue(s) along the x-axis is the electric field equal to zero y(m
x (m)
x=0
=d
4.Two point particles carrying charge are held in place 3.00m apart. The left charge has QuE=-2X10-9C and the right one has QRIGHT=+4X10-C. a. What is the magnitude and direction of the force on the right charge due to the left charge b. What is the electric field strength and direction at point C,which is 3m to the right of the right charge? What is the electric potential at point C? Please use the convention that V=0 an infinite distance from the charges. d. Now we want to bring a third point charge with Qc = +310Cis brought to point C from infinitely far away while the two original charges are held in place. How much work is required to do so? e. What is the total potential energy stored in the final configuration of all three charges? Please use the. convention that U=0 if all three charges are separated far from each other.
