A parallel-plate capacitor with plate separation d is connected to a battery that provides a potential difference ε. While still connected to the battery, the plate separation is increased to 2d.
a) Does the potential difference across the capacitor change as the separation increases? If so, then by what factor? If not, then why not?
b) Does the capacitance change as the separation increases? If so, then by what factor? If not, then why not?
c) Does the capacitor charge change as the separation increases? If so, then by what factor? If not, then why not?
d) Suppose that a dielectric with dielectric constant κ is inserted between the plates with the separation distance held constant. Does the capacitor charge change? If so, then by what factor? If not, then why not?
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