Figure 25-32 shows a circuit section of four air-filledcapacitors that is connec

Question

Figure 25-32 shows a circuit section of four air-filledcapacitors that is connected to a larger circuit. The graph belowthe section shows the electric potential V(x) as afunction of position x along the lower part of thesection, through capacitor 4. Similarly, the graph above thesection shows the electric potential V(x) as a function ofposition x along the upper part of the section, throughcapacitors 1, 2, and 3. Capacitor 3 has a capacitance of 0.18F. What are the capacitances of (a)capacitor 1 and (b) capacitor 2?

Explanation / Answer

the drop across cap 4 is 12 volts, so this is the totalof 1 2 and 3. . This means the drop across 3 is    12 - 2 -5 =   5 volts . This means cap 3 and cap 2 are the same,so     cap 2 is 0.18 uF . Also, since the drop across cap 1 is only   2 /5 = 0.4 times as much, its capacitance is only 0.4times as much . So     cap 1 is   0.4 *0.18 =    0.072uF

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