Recitation - Chapter 25

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Q 10.0x107° C P25.2 @ C= =1.00x10° F=| 1.00 uF AV 100V o A2 Q_100x10° C o C 1.00x10°F An air-filled parallel-plate capacitor has plates of area 2.30 cm? separated by 1.50 mm. (a) Find the value of its capacitance. The capacitor is connected to a 12.0-V battery. (b) What is the charge on the capacitor? (c) What is the magnitude of the uniform electric field between the plates? e A (1.00)(8.85x10™" C*/N-m?*)(2.30x10™* m? P25.4 (a) C=——0 _ (100} LE) ) d 1.50x107° m =1.36x107"? F=|1.36 pF (b) Q=CAV =(1.36 pF)(12.0 V)=(16.3 pC AV 120V E = - = (<) 4 150x10° m 8.00x10° V/m
10. Three capacitors are connected to a battery as shown in Figure P25.10. Their capac- C EJ itances are ¢, = 3C C, = | |1 C, and C, = 5C. (a) What [ is the equivalent capacitance + of this set of capacitors? - (b) State the ranking of the capacitors according to the charge they store from largest . to smallest. (c) Rank the capac- Figure P25.10 itors according to the potential differences across them from largest to smallest. (d) What If? Assume C, is increased. Explain what happens to the charge stored by each capacitor. Cy Cs P2510 (a) Capacitors 2 and 3 are in parallel and present equivalent capacitance 6C. This is in series with capacitor 1, so the battery +_ 3C 6C 1 1] sees capacitance | 5~ =12C|. (b) If they were initially uncharged, C, stores the same charge as C, and C, together. With greater capacitance, C, stores more charge than C,. Then | Q, >Q;>Q, |. (c) The (C,IIC;) equivalent capacitor stores the same charge as C,. Since it has greater capacitance, AV =% implies that it has smaller potential difference across it than C,. In parallel with each other, C, and C, have equal voltages: | AV, > AV, = AV, |,
(d) If C, is increased, the overall equivalent capacitance increases. More charge moves through the battery and Q increases. As AV, increases, AV, must decrease so Q, decreases. Then Q, must increase even more: | Q; and Q, increase; Q, decreases |, 26. The voltage across an air-filled parallel-plate capacitor is measured to be 85.0 V as shown in Figure P25.26a. When a dielectric is inserted and completely fills the space between the plates as in Figure P25.26b, the voltage drops to 25.0 V. (a) What is the dielectric constant of the inserted material? (b) Can you identify the dielectric? If so, what is it? (c) If the dielectric does not completely fill the space between the plates, what could you conclude about the voltage across the plates? Dielectric b Figure P25.26
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