Chapter 22: Problem 14
The electric potential in a region increases linearly with distance. What can you conclude about the electric field in this region?
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Chapter 22: Problem 14
The electric potential in a region increases linearly with distance. What can you conclude about the electric field in this region?
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A 5.0 -g object carries \(3.8 \mu \mathrm{C}\). It acquires speed \(v\) when accelerated from rest through a potential difference \(V\). If a 2.0 -g object acquires twice the speed under the same circumstances, what's its charge?
Two points \(A\) and \(B\) lie \(15 \mathrm{cm}\) apart in a uniform electric field, with the path \(A B\) parallel to the field. If the potential difference \(\Delta V_{A B}\) is \(840 \mathrm{V},\) what's the field strength?
The potential difference between the surface of a 3.0 -cm-diameter power line and a point \(1.0 \mathrm{m}\) distant is \(3.9 \mathrm{kV} .\) Find the line charge density on the power line.
Show that the result of Example 22.8 approaches the field of a point charge for \(x \gg a .\) (Hint: You'll need to apply the binomial approximation from Appendix A to the expression \(1 / \sqrt{x^{2}+a^{2}}\) )
The electric potential in a region is given by \(V=2 x y-3 z x+5 y^{2},\) with \(V\) in volts and the coordinates in meters. Find (a) the potential and (b) the components of the electric field at the point \(x=1 \mathrm{m}, y=1 \mathrm{m}, z=1 \mathrm{m}\)
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