Coulomb's Law
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Coulomb's Law
Two spheres are charged with positive charges Q and 3Q, they are placed at a distance
d in a vacuum, and between them, we have a force of intensity F. Then the spheres are placed
in contact and separated by a distance 2d. Determine the magnitude of the new repulsive force as a
function of F.
Two equal spheres, charged with electric charges q1 and q2, repel each
other with a force of magnitude 2.0×10−3 N when the distance between them is
d. Next, the spheres are placed in contact and separated from
\( \dfrac{d}{2} \).
Under these new conditions, the repulsive force becomes 9.0×10−3 N. Determine the
ratio.
Consider two particles A and B, in a vacuum, far from any other body. Particle A is
fixed and has charge +Q. Particle B is in Circular Motion with a center at A
and a radius of r, has mass m and charge −q. Neglecting gravitational force,
determine the speed of B.
Two identical spheres, A and B, are fixed on a flat, horizontal glass sheet at a distance
d from each other. Sphere A is initially neutral, and B is charged. A third sphere
C, identical to the first two and initially neutral, is placed in contact with B and then
with A. Determine at what distance x from sphere A, on the straight line AB,
should sphere C be placed so that it remains in equilibrium.
Three electric charges, of 1 μC each, are fixed at the vertices of a square of side 1 m, a particle with
a charge of 1 μC and mass 1 g is left at rest at the fourth vertex of the square, at this moment begins
to act a repulsive force of the other charges. Determine the acceleration of the particle at the moment it
is released.
Three spheres, each of weight W and charged Q, are suspended by insulating strings of
length L attached to the same point. In the equilibrium position, the strings make an angle
θ with the vertical. Calculate the charge Q.
Four positive charges equal to q are located at the vertices of a regular tetrahedron with edges
equal to d. Find the magnitude of the electric force due to the three charges at the base of the
tetrahedron on the charge located at point P above the base.
Two charged spheres, with charges q1 and q2 of the same sign, are
connected by a wire of insulating material of length R and diameter d. Determine the minimum
diameter of this wire so that it resists the electric force of repulsion between the charges, knowing that
another wire of the same material and diameter D resists at most a tension of intensity T.
Assume the system is in a vacuum.
A charge q = 1,0 μC is fixed at a point O in space. A second charge
Q = 25,0.10−8 C and weight W = 2,5.10−2 N is limited in
motion to the vertical passing through O. The charges are in a vacuum. Determine:
a) Is charge Q in equilibrium above or below O?
b) What is the distance between the charges at equilibrium?
c) The type of equilibrium of Q, stable, unstable, or indifferent?
a) Is charge Q in equilibrium above or below O?
b) What is the distance between the charges at equilibrium?
c) The type of equilibrium of Q, stable, unstable, or indifferent?
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