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Chapter 22: Problem 20
A charge of \(3.1 \mathrm{C}\) moves from the positive to the negative terminal of a \(9.0-\mathrm{V}\) battery. How much energy does the battery impart to the charge?
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The electric field within a cell membrane is approximately \(8.0 \mathrm{MV} / \mathrm{m}\) and is essentially uniform. If the membrane is \(10 \mathrm{nm}\) thick, what's the potential difference across the membrane?
Find the potential as a function of position in the electric field \(\vec{E}=a x \hat{\imath},\) where \(a\) is a constant and where you're taking \(V=0\) at \(x=0\)
"Cherry picker" trucks for working on power lines often carry electrocution hazard signs. Explain how this hazard arises and why it might be more of a danger to someone on the ground than to a worker on the truck.
The electric potential in a region is given by \(V=-V_{0}(r / R)\) where \(V_{0}\) and \(R\) are constants and \(r\) is the radial distance from the origin. Find expressions for the magnitude and direction of the electric field in this region.
You're an automotive engineer working on the ignition system for a new engine. Its spark plugs have center electrodes made from 2.0 -mm-diameter wire. The electrode ends gradually wear to a hemispherical shape, so they behave approximately like charged spheres. Your job is to specify the minimum potential that ensures these plugs will spark in air, neglecting the presence of the second electrode.
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