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Chapter 17: Q61P (page 473)
Question: (I) Write the binary number 1010101010101010 as a decimal number.
The decimal equivalent of 1010101010101010 is 43690.
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(II) A \({\bf{ + 35}}\;{\bf{\mu C}}\) point charge is placed 46 cm from an identical \({\bf{ + 35}}\;{\bf{\mu C}}\) charge. How much work would be required to move a \({\bf{ + 0}}{\bf{.50}}\;{\bf{\mu C}}\) test charge from a point midway between them to a point 12 cm closer to either of the charges?
Which of the following statements is valid?
(a) If the potential at a particular point is zero, the field at that point must be zero.
(b) If the field at a particular point is zero, the potential at that point must be zero.
(c) If the field throughout a particular region is constant, the potential throughout that region must be zero.
(d) If the potential throughout a particular region is constant, the field throughout that region must be zero.
A dielectric is pulled out from between the plates of a capacitor which remains connected to a battery. What changes occur to (a) the capacitance, (b) the charge on the plates, (c) the potential difference, (d) the energy stored in the capacitor, and (e) the electric field? Explain your answers.
Question: A \({\bf{3}}{\bf{.4}}\;{\bf{\mu C}}\) and a \({\bf{ - 2}}{\bf{.6}}\;{\bf{\mu C}}\) charge are placed 2.5 cm apart. At what points along the line joining them is (a) the electric field zero, and (b) the electric potential zero?
(II) How much work must be done to bring three electrons from a great distance apart to \({\bf{1}}{\bf{.0 \times 1}}{{\bf{0}}^{{\bf{ - 10}}}}\;{\bf{m}}\) from one another (at the corners of an equilateral triangle)?
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