Two parallel-plate capacitors have the same plate separation. The plate area of capacitor 1 is twice that of capacitor 2.

(a) How do the potential differences across the two capacitors compare if the quantity of charge you place on capacitor \(1\left(q_{1}\right)\) is twice the quantity you place on capacitor \(\left(q_{2}\right)\) ?

(b) How do the charge magnitudes on either plate of the two capacitors compare if the potential difference between the plates of capacitor 1 is twice that between the plates of capacitor 2?