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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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Question: (III) A \({\bf{3}}{\bf{.70}}\;{\bf{\mu F}}\) capacitor is charged by a 12.0-V battery. It is disconnected from the battery and then connected to an uncharged \({\bf{5}}{\bf{.00}}\;{\bf{\mu F}}\) capacitor (Fig.17鈥�43). Determine the total stored energy (a) before the two capacitors are connected, and (b) after they are connected. (c) What is the change in energy?
(I) How much work does the electric field do in moving a\( - 7.7{\rm{ }}\mu C\)charge from ground to a point whose potential is\( + 65 V\)higher?
State clearly the difference (a) between electric potential and electric field, (b) between electric potential and electric potential energy.
(II) Three point charges are arranged at the corners of a square of side l as shown in Fig. 17鈥�39. What is the potential at the fourth corner (point A)?
FIGURE 17鈥�39 Problem 22.
(II) Calculate the electric potential due to a dipole whose dipole moment is \({\bf{4}}{\bf{.2 \times 1}}{{\bf{0}}^{{\bf{ - 30}}}}\;{\bf{C \times m}}\) at a point \({\bf{2}}{\bf{.4 \times 1}}{{\bf{0}}^{{\bf{ - 9}}}}\;{\bf{m}}\) away if this point is (a) along the axis of the dipole nearer the positive charge; (b) 45掳 above the axis but nearer the positive charge; (c) 45掳 above the axis but nearer the negative charge.
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