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Chapter 19: Q10CQ (page 694)
Can the potential of a non-uniformly charged sphere be the same as that of a point charge? Explain.
Yes, a non-uniformly charged sphere's potential might be the same as a point charge.
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Suppose you have a \(9.00\;V\) battery, a \(2.00{\rm{ }}\mu F\) capacitor, and a \(7.40{\rm{ }}\mu F\)capacitor.
(a) Find the charge and energy stored if the capacitors are connected to the battery in series.
(b) Do the same for a parallel connection.
Figure \({\rm{19}}{\rm{.28}}\) shows the electric field lines near two charges \(q1\) and \(q2\) , the first having a magnitude four times that of the second. Sketch the equipotential lines for these two charges, and indicate the direction of increasing potential.
Membrane walls of living cells have surprisingly large electric fields across them due to separation of ions. (Membranes are discussed in some detail in Nerve Conduction鈥擡lectrocardiograms.) What is the voltage across an \(8.00{\rm{ }}nm\)鈥搕hick membrane if the electric field strength across it is \(5.50{\rm{ }}MV/m\)? You may assume a uniform electric field.
Discuss how potential difference and electric field strength are related. Give an example.
A battery-operated car utilizes a 12.0 V system. Find the charge the batteries must be able to move in order to accelerate the 750 kg car from rest to 25.0 m/s, make it climb a 2.00 x 102 m high hill, and then cause it to travel at a constant 25.0 m/s by exerting a 5.00 x 102 N force for an hour.
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