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Chapter 17: Q8Q (page 473)
Can two equipotential lines cross? Explain.
No, two equipotential lines can not be crossed with each other as a point can never have two potential values.
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(III) A \({\bf{2}}{\bf{.50}}\;{\bf{\mu F}}\) capacitor is charged to 746 V and a \({\bf{6}}{\bf{.80}}\;{\bf{\mu F}}\) capacitor is charged to 562 V. These capacitors are then disconnected from their batteries. Next the positive plates are connected to each other and the negative plates are connected to each other. What will be the potential difference across each and the charge on each? [Hint: Charge is conserved.]
Question: (I) What is the capacitance of a pair of circular plates with a radius of 5.0 cm separated by 2.8 mm of mica?
(II) What is the speed of a proton whose KE is 4.2 keV?
(II) An alpha particle (which is a helium nucleus, Q=+2e,\({\bf{m = 6}}{\bf{.64 \times 1}}{{\bf{0}}^{{\bf{ - 27}}}}\;{\bf{kg}}\)) is emitted in a radioactive decay with KE = 5.53 MeV. What is its speed?
The parallel plates of an isolated capacitor carry opposite charges, Q. If the separation of the plates is increased, is a force required to do so? Is the potential difference changed? What happens to the work done in the pulling process?
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