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1. A charge of -5.40 oC is located on the x axis at x = 2.40 cm. A charge of -5.40 oC is located on the x axis at x = -2.40 cm. Find the electric field on the y axis at y = 6.50 cm. Give only the magnitude of the field. Find the force on a 1.43 nC charge on the y axis at y = 6.50 cm. Give only the magnitude of the force.
2. An electron (mass m = 9.11E-31 kg) is accelerated in the uniform field E (E = 1.78E+4 N/C) between two parallel charged plates. The separation of the plates is 1.40 cm. The electron is accelerated from rest near the negative plate and passes through a tiny hole in the positive plate, as seen in the figure below. Show that the gravitational force can be ignored by calculating the ratio of the gravitational to the electric force. Calculate that ratio.
3. Two large parallel copper plates are 15.00 cm apart and have a uniform electric field between them. An electron is released from the negative plate at the same time that a proton is released from the positive plate. Neglect the force of the particles on each other and find their distance from the positive plate when they pass each other.
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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