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Unformatted text preview: 10 9 EXECUTE:! E # 24.14. N + m 2 /C2 / . 3.30 " 10!9 C / . 0.0309 m / 2 # 3.12 " 104 N/C EVALUATE:! Outside the capacitor, the electric field is zero because the charges on the spheres are equal in magnitude but opposite in sign. IDENTIFY:! The capacitors between b and c are in parallel. This combination is in series with the 15 pF capacitor. SET UP:! Let C1 # 15 pF , C2 # 9.0 pF and C3 # 11 pF . EXECUTE:! (a) For capacitors in parallel, Ceq # C1 0 C2 0 % so C23 # C2 0 C3 # 20 pF (b) C1 # 15 pF is in series with C23 # 20 pF . For capacitors in series, C123 # 1 1 1 1 1 1 #0 and #0 0 % so Ceq C1 C2 C123 C1 C23 C1C23 (15 pF)(20 pF) # # 8.6 pF . C1 0 C23 15 pF 0 20 pF EVALUATE:! For capacitors in parallel the equivalent capacitance is larger than any of the individual capacitors. For capacitors in series the equivalent capacitance is smaller than any of the individual capacitors. 24-4 Chapter 24 24.15. IDENTIFY:! Replace series and parallel combinations of capacitors by their equivalents. In each equivalent network apply the rules for Q and V for capacitors in series and parallel; start with the simplest network and work back to the original circuit. SET UP:! Do parts (a) and (b) together. The capacitor network is drawn in Figure 24.15a. C1 # C2 # C3 # C4 # 400 $ F Vab # 28.0 V Figure 24.15a EXECUTE:! Simplify the circuit by replacing the capacitor combinations by their equivalents: C1 and C2 are in series and are equivalent to C12 (Figure 24.15b). 1 1 1 #0 C12 C1 C2 Figure 24.15b . 4.00 " 10 F/. 4.00 " 10!6 F/ # 2.00 " 10!6 F C1C2 # C1 0 C2 4.00 " 10!6 F 0 4.00 " 10!6 F C12 and C3 are in parallel and are equivalent to C123 (Figure 24.15c). !6 C12 # C123 # C12 0 C3 C123 # 2.00 " 10!6 F 0 4.00 " 10!6 F C123 # 6.00 " 10!6 F Figure 24.15c C123 and C4 are in series and are equivalent to C1234 (Figure 24.15d). 1 1 1 # 0 C1234 C123 C4 Figure 24.15d . 6.00 "10!6 F /. 4.00 " 10!6 F/ # 2.40 " 10!6 F C123C4 # C123 0...
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This document was uploaded on 03/11/2014 for the course PHYSICS 240 at University of Michigan.

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