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Chapter 16: Electric Potential

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Matter & Interactions
Pages: 626 - 672
Matter & Interactions

Matter & Interactions

Book edition 4th edition
Author(s) Ruth W. Chabay, Bruce A. Sherwood
Pages 1135 pages
ISBN 9781118875865

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Illustration

78 Questions for Chapter 16: Electric Potential

  1. If the kinetic energy of an electron is 4.4×10-18J, what is the speed of the electron? You can use the approximate (non relativistic) equation here.

    Found on Page 626

  2. A thin spherical shell of radius \({R_1}\)made of plastic carries a uniformly distributed negative charge \( - {Q_1}\). A thin spherical shell of radius \({R_2}\)made of glass carries a uniformly distributed positive charge \( + {Q_2}\). The distance between centers is \(L\), as shown in Figure 16.80. (a) Find the potential difference \({V_B} - {V_A}\). Location A is at the center of the glass sphere, and location \(B\) is just outside the glass sphere. (b) Find the potential difference \({V_C} - {V_B}\). Location \(B\) is just outside the glass sphere, and location \(C\) is a distance d to the right of \(B\). (c) Suppose the glass shell is replaced by a solid metal sphere with radius R2 carrying charge \( + {Q_2}\). Would the magnitude of the potential difference \({V_B} - {V_A}\) be greater than, less than, or the same as it was with the glass shell in place? Explain briefly, including an appropriate physics diagram.

    Found on Page 668

  3. A particle with charge\( + {q_1}\)and a particle with charge\( - {q_2}\)are located as shown in figure 16.91. What is the potential (relative to infinity) at location A.

    Found on Page 670

  4. What is the potential (relative to infinity) at location B, a distance h from a ring of radius a with charge –Q as shown in figure 16.94?

    Found on Page 670

  5. What is the maximum possible potential (relative to infinity) of the metal sphere of 10-cm radius? What is the maximum possible potential (relative to infinity) of the metal sphere of only 1-mm radius? These results hint at the reason why a highly charged piece of metal (with uniform potential throughout) tends to spark at places where the radius of curvature is small or at places where there are sharp points. Remember that breakdown electric strength for air is roughly\[{\bf{3 \times 1}}{{\bf{0}}^{\bf{6}}}\;\frac{{\bf{V}}}{{\bf{m}}}\].

    Found on Page 670

  6. An isolated parallel-plate capacitor of area \({A_1}\) with an air gap of length \({s_1}\) is charged up to a potential difference\(\Delta {V_1}\). A second parallel-plate capacitor, initially uncharged, has an area \({A_2}\) and a gap of length \({s_2}\)filled with plastic whose dielectric constant is\(K\). You connect a wire from the positive plate of the first capacitor to one of the second capacitor, and you connect another wire from the negative plate of the first capacitor to the other plate of the second capacitor. What is the final potential difference across the first capacitor?

    Found on Page 671

  7. A rod uniformly charged with charge -q is bent into a semicircular arc of radius b, as shown in Figure 16.97. What is the potential relative to infinity at location A, at the center of the arc?

    Found on Page 671

  8. A rod uniformly charged with charge \( - q\) is bent into a semicircular arc of radius\(b\), as shown in Figure 16.97. What is the potential relative to infinity at location\(A\), at the center of the arc?

    Found on Page 671

  9. Question: In a circuit there is a copper wire 40 cm long with a potential difference from one end to the other end of . What is the magnitude of electric field inside the wire?

    Found on Page 626

  10. Show that if you are very far from the ring(Z≫R), the potential difference is approximately equal to that of a point charge. (This is to be expected because, if you are very far away, the ring appears nearly to be a point)

    Found on Page 650

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