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1) Particles with charges of -1.0 μC, +2.0 μC, +4.0 μC are placed at the vertices...

1) Particles with charges of -1.0 μC, +2.0 μC, +4.0 μC are placed at the vertices of an equilateral triangle with sides 1 m long. Find the magnitude of the force in:
a) the -1.0 μC particle;
b) the particle of +4.0 μC and
c) the +2.0 μC particle.
d) Show that the vector sum of these three forces is zero.

2) Two particles of charge + q are placed on opposite diagonal vertices of a square with side a and two particles of charge -q, on the remaining vertices. Calculate:
a) the force on one of the charge particles q and
b) the force on one of the negatively charged particles.

3) Calculate the intensity of the electric field produced by a particle with a charge of 5.0 μC at a distance of 10^-2, 10^-1 and 10 m from the particle.

4) For a proton in a certain uniform electric field E.
a) What must be the intensity of this electric field in order for it to balance with the gravitational field of the earth?
b) At what distance from a particle of charge 10 μC can we find a field of the same intensity?

5) A load line of length: 2 L consists of two parts: one half carrying a charge per unit length + λ and the other half carrying a charge per unit length - λ.
Find the electric field at a distance i from the line of charge and along its perpendicular bisector.

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