A frictionless device changes the gap width, and hence the capacitance, of an air-filled parallel-plate capacitor. A switch allows a 375V voltage source to be connected to and disconnected from the capacitor. With the initial gap width, the capacitance is 821.3pF. The switch is closed allowing the capacitor to become fully charged. The switch is then opened, and the gap width is changed until the capacitance is 210.2pF.  a. What is the magnitude of the work, in millijoules, that is required to change the gap width from the initial value to the final value?  b. What is the ratio of the final gap width to the initial gap width?  c. With the final gap width, what is the potential difference, in volts, across the capacitor?

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A frictionless device changes the gap width, and hence the capacitance, of an air-filled parallel-plate capacitor. A switch allows a 375V voltage source to be connected to and disconnected from the capacitor. With the initial gap width, the capacitance is 821.3pF. The switch is closed allowing the capacitor to become fully charged. The switch is then opened, and the gap width is changed until the capacitance is 210.2pF. 

a. What is the magnitude of the work, in millijoules, that is required to change the gap width from the initial value to the final value? 

b. What is the ratio of the final gap width to the initial gap width? 

c. With the final gap width, what is the potential difference, in volts, across the capacitor? 

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