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Chapter 26: Q. 73 (page 741)
Derive Equation 26.33 for the induced surface charge density on the dielectric in a capacitor.
By deriving equation 26.33 for the induced surface charge density on the dielectric in a capacitor we get .
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Figure EX26.11 is a graph of. Draw the corresponding graph of.
Capacitors and are each charged to , then disconnected from the battery without changing the charge on the capacitor plates. The two capacitors are then connected in parallel, with the positive plate of connected to the negative plate of and vice versa. Afterward, what are the charge on and the potential difference across each capacitor?
A switch that connects a battery to a 10 mF capacitor is closed. Several seconds later you find that the capacitor plates are charged to 30 mC. What is the emf of the battery?
Figure Q26.8 shows a negatively charged electroscope. The gold leaf stands away from the rigid metal post. Is the electric potential of the leaf higher than, lower than, or equal to the potential of the post? Explain.
The parallel-plate capacitor in Figure Q26.11 is connected to a battery having potential difference . Without breaking any of the connections, insulating handles are used to increase the plate separation to .
a. Does the potential difference change as the separation increases? If so, by what factor? If not, why not?
b. Does the capacitance change? If so, by what factor? If not, why not?
c. Does the capacitor charge change? If so, by what factor? If not, why not?
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