Chapter 17: Q18Q (page 473)
We have seen that the capacitance C depends on the size and position of the two conductors, as well as on the dielectric constant K. What then did we mean when we said that C is a constant in Eq. 17–7?
The capacitance does not rely on charge and voltage.
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(II) How strong is the electric field between the plates of a \({\bf{0}}{\bf{.80}}\;{\bf{\mu F}}\) air-gap capacitor if they are 2.0 mm apart and each has a charge of \({\bf{62}}\;{\bf{\mu C}}\)?
(II) The work done by an external force to move a \( - {\bf{6}}{\bf{.50}}\;{\bf{\mu C}}\) charge from point A to point B is \({\bf{15}}{\bf{.0 \times 1}}{{\bf{0}}^{{\bf{ - 4}}}}\;{\bf{J}}\). If the charge was started from rest and had \({\bf{4}}{\bf{.82 \times 1}}{{\bf{0}}^{{\bf{ - 4}}}}\;{\bf{J}}\)of kinetic energy when it reached point B, what must be the potential difference between A and B?
(III) Two equal but opposite charges are separated by a distance d, as shown in Fig. 17–41. Determine a formula for \({{\bf{V}}_{{\bf{BA}}}}{\bf{ = }}{{\bf{V}}_{\bf{B}}}{\bf{ - }}{{\bf{V}}_{\bf{A}}}\)for points B and A on the line between the charges situated as shown.
FIGURE 17-41 Problem 30
(II) The dipole moment, considered as a vector, points from the negative to the positive charge. The water molecule, Fig. 17–42, has a dipole moment \({\bf{\vec p}}\) which can be considered as the vector sum of the two dipole moments, \({{\bf{\vec p}}_{\bf{1}}}\) and \({{\bf{\vec p}}_{\bf{2}}}\) as shown. The distance between each H and the O is about \({\bf{0}}{\bf{.96 \times 1}}{{\bf{0}}^{{\bf{ - 10}}}}\;{\bf{m}}\). The lines joining the centre of the O atom with each H atom make an angle of 104°, as shown, and the net dipole moment has been measured to be \({\bf{p = 6}}{\bf{.1 \times 1}}{{\bf{0}}^{{\bf{ - 30}}}}\;{\bf{C}} \cdot {\bf{m}}\). Determine the charge q on each H atom.
FIGURE 17–42 Problem 34
(II) Draw a conductor in the oblong shape of a football. This conductor carries a net negative charge -Q, Draw in a dozen or so electric field lines and equipotential lines.
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