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Question: 1 what is the magnitude of a point charge if...

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1. What is the magnitude of a point charge if the electric field it produces at a distance of 50 cm is 1.0 N/m? 2. Two point charges, one of +2.0 x 10 C and the other of +8.0 x 10-8 C, are separated by a distance of 10 cm. (a) What electric field does each produce at the position of the other? (b) What forces acts on each charge? 3. A charge Q is divided into two parts, q and Q-q. What fraction of Q is q if when placed a given distance from one another the two charges are to have a maximum Coulomb repulsion? 4. In the figure below locate the points or points at which the electric field is zero and qualitatively sketch the lines of force. eq +q
5. The Bohr theory of the atom was the culmination of work in many areas of physics. In this theory the electron is in a circular orbit about the hydrogen nucleus (i.e. the proton). The model allowed the energy of the electron in the hydrogen atom to be calculated as 13.6 eV. Using this energy and Coulombs Law estimate the diameter of the hydrogen atom 6. Consider a thin rod of length L laying on the x-axis as shown in the figure below. The charge density is nonuniform and varies as o x/L, where o is a constant. (a) Find the magnitude of the force on a point charge q at x = a in terms of q, λ。, a, and L. (b) Show that for a >> L the answer in (a) reduces to (c) What is the total charge on the rod? (d) Does your answer in c make sense in light of the result given in (b)? Why or why not? X-L
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