Figure 25-32 shows a circuit section of four air-filled capacitorsthat is connec
ID: 1679020 • Letter: F
Question
Figure 25-32 shows a circuit section of four air-filled capacitorsthat is connected to a larger circuit. The graph below the sectionshows the electric potential V(x) as a functionof position x along the lower part of thesection, through capacitor 4. Similarly, the graph above thesection shows the electric potential V(x) as afunction of position x along the upper part ofthe section, through capacitors 1, 2, and 3. Capacitor 3 has acapacitance of 0.62 F. What are the capacitancesof (a) capacitor 1and (b) capacitor 2?
Explanation / Answer
Modified:
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Given C3 = 0.62 * 10 ^ -6 F
Potential across C3 plates V 3 = 12 V – ( 2 V +5 V ) = 5 V
So, charge on plates of C3 is Q = C3* V3
= 3.1 * 10 ^ -6 C
Charge on plates of C2 capacitor is Q = C2* V2
C2 = Q / V2
= ( 3.1* 10^-6 C ) / 5 V
= 0.62 * 10 ^ -6 F
= 0.62 uF
Charge on plates of C1 capacitor is Q = C1* V1
C1 = Q / V1
= ( 3.1* 10^-6 C ) / 2 V
= 1.55 * 10 ^ -6 F
= 1.55 uF
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