let the final voltage be u and the c be the capacitance of the capacitor without dielectric then the charge on the capacitor 6V
define capacitor ?
A capacitor is a device that stores electrical energy in an electric field by collecting electric charges on two isolated near surfaces. It's a two-terminal passive electrical component.
Capacitance is the term used to describe the effect of a capacitor. A capacitor is a component meant to add capacitance to a circuit. While some capacitance exists between any two electrical conductors in close proximity in a circuit, a capacitor is a component designed to remove capacitance from a circuit. The capacitor was initially called a condenser, which is still used in a few compound names, such as the condenser microphone.
Q1=CU
the capacitor with the dielectric has a capacitance C hence the charge on the capacitor is
Q2=∈U=aCU²
Q₀=CU₀
Q₀=Q1+Q2
αCU²+U+u₀=0
U= -√1±4αU₀/2α
=-1±√1+624/4
=-1±√1+625/4 volts
as U is positive
U=√625-1/4
=24/4
=6v
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