There is a circular parallel plate capacitor. If the radius of the plates is halved, and the distance between them is also halved, by what factor does the value of the new capacitor change? (You must show the calculations to get the corresponding score.) The results of all problems must be expressed in SI units (and some other, if requested). I know Points will be deducted if the result does not indicate its unit of measure.

There is a circular parallel plate capacitor. If the radius of the plates is halved, and the distance between them is also halved, by what factor does the value of the new capacitor change? (You must show the calculations to get the corresponding score.) The results of all problems must be expressed in SI units (and some other, if requested). I know Points will be deducted if the result does not indicate its unit of measure.