Figure 25-33 shows a circuit section of four air-filled capacitors that is conne

Question

Figure 25-33 shows a circuit section of four air-filled capacitors that is connected to a larger circuit. The graph below the section shows the electric potential V(x) as a function of position x along the lower part of the section, through capacitor 4. Similarly, the graph above the section shows the electric potential V(x) as a function of position x along the upper part of the section, through capacitors 1, 2, and 3. Capacitor 3 has a capacitance of 0.16 F. What are the capacitances of (a) capacitor 1 and (b) capacitor 2?

Figure 25-33 shows a circuit section of four air-filled capacitors that is connected to a larger circuit. The graph below the section shows the electric potential V(x) as a function of position x along the lower part of the section, through capacitor 4. Similarly, the graph above the section shows the electric potential V(x) as a function of position x along the upper part of the section, through capacitors 1, 2, and 3. Capacitor 3 has a capacitance of 0.16 ?F. What are the capacitances of (a) capacitor 1 and (b) capacitor 2?

Explanation / Answer

( a ) potential across 4 = potential across ( 1, 2 , 3 ) ; 12 = 2 + 5 + V3 ; V3 = 5 V , Q3 = C3 V3 = 0.16 * 10^ -6 * 5 = 8 * 10^ -7 C ; Q3 = Q2 = Q1 = Q = 8 * 10^ -7 C ; so C1 = Q / V1 = 8 * 10^ -7 C / 2 = 4 * 10^-7 F = 0.4 µF ;

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