(I) The variable capacitor in the tuner of an AM radio has a capacitance of 1800 pF when the radio is tuned to a station at 550 kHz. What must the capacitance be for a station near the other end of the dial, 1610 kHz?

(II) In the capacitance bridge shown in Fig. 24–28, a voltage V₀ is applied and the variable capacitor C₁ is adjusted until there is zero voltage between points a and b as measured on the voltmeter (). Determine the unknown capacitance C_x if C₁ = 8.9 μF and the fixed capacitors have C₂ = 16.0 μF and C₃ = 4.8 μF No charge flows through the voltmeter when it reads zero.)

What is charge and voltage across each capacitor below?

What is the charge on the 5 F capacitor? (hint:be careful with series vs parallel)

What are the charge on and the potential difference across each capacitor in FIGURE P26.57?

Six identical capacitors with capacitance C are connected as shown in FIGURE P26.59. What is the potential difference between points a and b?

Initially, the switch in FIGURE P26.61 is in position A and capacitors C₂ and C₃ are uncharged. Then the switch is flipped to position B. Afterward, the voltage across C₁ is 4.0 V. What is the emf of the battery?