E6 - Phy sics 7B WS E6(rev 3.0 Page 1 E-6 Capacitance...

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Physics 7B WS E6 (rev. 3.0) Page 1 E-6. Capacitance Questions for discussion 1 . The two metal objects below have net charges of +73 pC and -73 pC, and this results in a potential difference of 19.2 V between them. a) What is the capacitance of this system? b) Suppose that the charges on the two objects are changed to +210 pC and -210 pC, respectively. What is the capacitance of the system now? How about the potential difference between them? c) What are some ways in which you might alter the capacitance of this system? 2 . Why does the capacitance of a capacitor get larger when the two pieces are closer together? 3 . How does the presence of a dielectric affect the capacitance of a parallel-plate capacitor?
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Physics 7B WS E6 (rev. 3.0) Page 2 4. Consider two capacitors, C 1 and C 2 , connected in parallel, as shown. a) If a voltage V is put across the parallel capacitors, what is the charge on each capacitor? b) What is the equivalent capacitance of the two capacitors in parallel? 5. Consider two capacitors, C 1 and C 2 , connected in series, as shown. a) If a charge Q is put on C 1 , what is the charge on C 2 ? b) If a charge Q is put on C 1 , what is the voltage across each capacitor? c) What is the equivalent capacitance of the two capacitors in series? C 2 C 1 Q 2 Q 1 V C 2 C 1 Q 1 V 1 V 2
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Physics 7B WS E6 (rev. 3.0) Page 3 Problems 1 . In a parallel-plate capacitor, the plates are in the shape of circles of radius R. a) If the plate separation is d, then what is the capacitance? Suppose a battery of voltage ε is connected across the plates of the capacitor.
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