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Show that the work necessary to assemble a static charge distribution (against the coulomb repulsion of like charges)
A dielectric of dielectric constant 5.0 filled in the gap between the plates of a capacitor. Calculate the factor by which thae capacitance is increased, if the dielectric is only sufficient to fill up 1/5 of the gap.

describe the electromagnetic spectrum in your own words using wavelength and frequency.


4. Based on Coulomb’s law, when there is a strong attraction force between two particles, which of the following could be said about the magnitude and the sign of the potential energy?

 A. A small positive value

 B. A small negative value

 C. A large negative value

 D. A large positive value


Three charges q1=q2=+6 and q3=4 are located at - 0.6i, 0.6i and 0.8j respectively. Find the net force on q3
Three charges q1=5, q2=4 and q3=3 are located at 0.6i, 0.3i, +0.8j respectively. Find the net force exerted on q due to the charges q2 and q3

How many excess electrons must be added to a plastic solid sphere that has a diameter of 0.26 m to produce an electric field of 1030 N/C at the edge of the surface? Assuming the charge is uniform, what is the electric field at 10 cm from the center?



a) A plate with positive charge is 0.05 m higher than a plate with negative charge, and the electric field has an intensity of E=5x104N/C. Determine the work performed by the electric field E when a charge of +5x10-6C moves from the negative plate to the positive plate.

b) Find the electric potential at a point located at 0.05m of a charge of +8x10-6C. Find the potential energy of a charge of 3x10-9C that is located at that same point.



a) Two spheres, each with a charge of +3x10-6C, are separated by 100 mm. Are they attracting each other or rejecting? Determine the force between them. 

b) A charge +4x10-6C placed at point P within an electric field, experiences a force of F=-8x10-4N. Determine the intensity of the electric field.




Input data: ax=3, ay=5, az=0, bx=0, by=3, bz=2, cx=5, cy=0, cz=2.
Three points are given with their coordinates. Calculate the data below:
a, The distance between points A and B (dAB).
b, The area of triangle ABC (AABC).
c, The orthogonal projection of vector
r AB
to line AC
à ƒ ƒ ¯ € ¨ à ƒ ƒ ¯ € © ABà ƒ ƒ ¯  ž
r .
d, The angle between vectors
r AB
and
r AC
(à ƒ ƒ Ž ±BAC).
e, The unit vectors that are perpendicular to the plane of triangle ABC (
e1 , e 2
).
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