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Chapter 24: Q72P (page 715)
The magnitude of an electric field depends on the radial distance r according to, where is a constant with the unit volt鈥揷ubic meter. As a multiple of , what is the magnitude of the electric potential difference betweenand?
The magnitude of the electric potential difference is .
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(a) Figure 24-42ashows a non-conducting rod of length L = 6.00cmand uniform linear charge density . Assume that the electric potential is defined to be V = 0at infinity. What is Vat point Pat distance d = 8.00cmalong the rod鈥檚 perpendicular bisector? (b) Figure 24-42bshows an identical rod except that one half is now negatively charged. Both halves have a linear charge density of magnitude . With V = 0at infinity, what is the net electric potential at the
VatP?
A particle of chargeis released from rest at the pointon an x-axis. The particle begins to move due to the presence of a charge Qthat remains fixed at the origin. What is the kinetic energy of the particle at the instant it has moved 40 cmif (a)and (b)?
In the rectangle of Fig. 24-55, the sides have lengths 5.0 cmand15 cm, q1= -5.0 mC, and q2= +2.0 mC. With V=0at infinity, what is the electric potential at (a) corner Aand (b) corner B? (c) How much work is required to move a charge q3= +3.0 mCfrom Bto Aalong a diagonal of the rectangle? (d) Does this work increase or decrease the electric potential energy of the three-charge system? Is more, less, or the same work required if q3 is moved along a path that is (e) inside the rectangle but not on a diagonal and (f) outside the rectangle?
Question: What is the magnitude of the electric field at the point ?
If the electric potential in the region is given by, where Vis in volts and coordinates x, y, and zare in meters?
Question: What is the escape speedfor an electron initially at rest on the surface of a sphere with a radius ofand a uniformly distributed charge of? That is, what initial speed must the electron have in order to reach an infinite distance from the sphere and have zero kinetic energy when it gets there?
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