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Coulomb's Law gives us an expression for the electric field caused by a point charge with magnitude . Suppose we have several point charges. The electric field at a location is the vector sum of point charge contributions. Consider a standard x-y coordinate system. A small ball with charge -4.5 nC is located on the x axis at x1 = 6.5 cm. A second ball of charge -8.4 nC is located at x2 = -3.0 cm and y2 = 4.0 cm. (a) Find the components of the net electric field at the origin. Ex and Ey (b) Find the magnitude and direction of the net electric field at the origin.
A sphere of radius R is uniformly charged to a total charge of Q. It is made to spin about an axis that passes through its center with an angular speed ω. Find the magnitude of the resulting magnetic field at the center of the sphere.
A resistor is in the shape of a cube, with each side of resistance R . Find the equivalent resistance between any two of its adjacent corners.
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