Chapter 21: Problem 28
When a positively charged rod is brought close to a neutral conductor without touching it, will the rod experience an attractive force, a repulsive force, or no force at all? Explain
Chapter 21: Problem 28
When a positively charged rod is brought close to a neutral conductor without touching it, will the rod experience an attractive force, a repulsive force, or no force at all? Explain
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Get started for freeTwo negative charges \((-q\) and \(-q)\) of equal magnitude are fixed at coordinates \((-d, 0)\) and \((d, 0)\). A positive charge of the same magnitude, \(q,\) and with mass \(m\) is placed at coordinate \((0,0),\) midway between the two negative charges. If the positive charge is moved a distance \(\delta \ll d\) in the positive \(y\) -direction and then released, the resulting motion will be that of a harmonic oscillator-the positive charge will oscillate between coordinates \((0, \delta)\) and \((0,-\delta) .\) Find the net force acting on the positive charge when it moves to \((0, \delta)\) and use the binomial expansion \((1+x)^{n}=1+n x,\) for \(x \ll 1,\) to find an expression for the frequency of the resulting oscillation. (Hint: Keep only terms that are linear in \(\delta .\) )
In general, astronomical objects are not exactly electrically neutral. Suppose the Earth and the Moon each carry a charge of \(-1.00 \cdot 10^{6} \mathrm{C}\) (this is approximately correct; a more precise value is identified in Chapter 22 ). a) Compare the resulting electrostatic repulsion with the gravitational attraction between the Moon and the Earth. Look up any necessary data. b) What effects does this electrostatic force have on the size, shape, and stability of the Moon's orbit around the Earth?
The Earth is constantly being bombarded by cosmic rays, which consist mostly of protons. These protons are incident on the Earth's atmosphere from all directions at a rate of \(1245 .\) protons per square meter per second. Assuming that the depth of Earth's atmosphere is \(120.0 \mathrm{~km}\), what is the total charge incident on the atmosphere in 5.000 min? Assume that the radius of the surface of the Earth is \(6378 . \mathrm{km}\).
Two identically charged particles separated by a distance of \(1.00 \mathrm{~m}\) repel each other with a force of \(1.00 \mathrm{~N}\). What is the magnitude of the charges?
If two charged particles (the charge on each is \(Q\) ) are separated by a distance \(d\), there is a force \(F\) between them. What is the force if the magnitude of each charge is doubled and the distance between them changes to \(2 d ?\)
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